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1

Moradi, M., M. R. Delavar, and A. Moradi. "A GIS-BASED MODEL FOR POST-EARTHQUAKE PERSONALIZED ROUTE PLANNING USING THE INTEGRATION OF EVOLUTIONARY ALGORITHM AND OWA." ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences XL-1-W5 (December 11, 2015): 509–14. http://dx.doi.org/10.5194/isprsarchives-xl-1-w5-509-2015.

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Being one of the natural disasters, earthquake can seriously damage buildings, urban facilities and cause road blockage. Post-earthquake route planning is problem that has been addressed in frequent researches. The main aim of this research is to present a route planning model for after earthquake. It is assumed in this research that no damage data is available. The presented model tries to find the optimum route based on a number of contributing factors which mainly indicate the length, width and safety of the road. The safety of the road is represented by a number of criteria such as distanc
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Fowler, Peter, Haydn Bellardie, Bill Shaw, Phil Eyres, Gunvor Semb, and John Thompson. "Reliability of a Categorical Scale (GOSLON) and a Continuous Scale (10-cm Visual Analog Scale) for Assessing Dental Arch Relationships Using Conventional Plaster and 3D Digital Orthodontic Study Models of Children With Complete Unilateral Cleft Lip and Palate." Cleft Palate-Craniofacial Journal 56, no. 1 (2018): 84–89. http://dx.doi.org/10.1177/1055665618770054.

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Objective: To assess reliability of scoring plaster models and their 3D digital copy of children with complete unilateral cleft lip and palate (CUCLP) using a continuous scale (10-cm visual analog scale [VAS]) and a categorical scale (GOSLON Yardstick). Design: Reliability observational study involving 3 trained GOSLON Yardstick assessors blinded to the origin of the models. Patients: Models from 35 New Zealand (NZ) and 35 Oslo CUCLP patients were standardized and randomly ordered before rating. Outcome Measures: Assessments were undertaken using the GOSLON and the VAS for both model formats.
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Wang, Tian, Xiaodong Chen, Xin Zheng, Yayan Lu, Fang Han, and Zhaoping Yang. "Identification of Priority Conservation Areas for Natural Heritage Sites Integrating Landscape Ecological Risks and Ecosystem Services: A Case Study in the Bogda, China." International Journal of Environmental Research and Public Health 19, no. 4 (2022): 2044. http://dx.doi.org/10.3390/ijerph19042044.

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The conservation of World Natural Heritage Sites has become a global concern. The identification of priority conservation areas can preserve the value of heritage sites while promoting sustainable development, which is important for balancing the conservation and development of heritage sites. This paper proposes an integrated framework for the identification of priority conservation areas for natural heritage sites based on landscape ecological risks (LERs) and ecosystem services (ESs), taking the Bogda heritage site in Xinjiang, China as a case study. The innovative approach combined the nat
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Demkowicz, Ryan, Josephine Dermawan, Sindu Shetty, et al. "Blood Utilization at Regional Hospitals." American Journal of Clinical Pathology 152, Supplement_1 (2019): S151. http://dx.doi.org/10.1093/ajcp/aqz131.000.

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Abstract Introduction Transfusion medicine is unique to lab medicine. While it still involves testing and reporting of results, it is one of the few areas where the laboratory is providing treatment. The risk of providing a blood product must be weighed against the benefit before the decision is made to transfuse a patient. Our study looked at blood utilization at our regional hospitals to assess if there were areas where we need to improve this decision process. Methods Chart reviews were performed for patients who received packed red blood cells (RBCs) in the regional hospitals over a 2-mont
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Grissett, Bryan, Max Sosa-Pagan, and Qasim Zafar Iqbal. "ODP058 Topiramate causing elevation of urinary cortisol assay." Journal of the Endocrine Society 6, Supplement_1 (2022): A66—A67. http://dx.doi.org/10.1210/jendso/bvac150.137.

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Abstract 69-year-old female with pituitary adenoma status-post transsphenoidal resection 6 years prior and isolated growth hormone deficiency [on somatropin 0.2 mg daily], migraines [on topiramate 25 mg daily], left lipid-rich adrenal incidentaloma, primary hypothyroidism [on levothyroxine 75 mcg daily], and secondary hyperparathyroidism from vitamin-D deficiency [on ergocalciferol 50000 IU weekly] and hydrochlorothiazide 25 mg daily presented for follow-up. Physical exam: afebrile, blood pressure hypertensive at 163/71 mmHg, heart rate 91 beats per minute, respiratory rate 18 breaths per minu
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Zhou, Ligang, Zhifu Tao, Huayou Chen, and Jinpei Liu. "Intuitionistic Fuzzy Ordered Weighted Cosine Similarity Measure." Group Decision and Negotiation 23, no. 4 (2013): 879–900. http://dx.doi.org/10.1007/s10726-013-9359-1.

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Nowell, W. B., C. L. Kannowski, K. Gavigan, et al. "PARE0026 WHICH PATIENT-REPORTED OUTCOMES DO RHEUMATOLOGY PATIENTS FIND IMPORTANT TO TRACK DIGITALLY? A REAL-WORLD LONGITUDINAL STUDY IN ARTHRITISPOWER." Annals of the Rheumatic Diseases 79, Suppl 1 (2020): 1298.1–1299. http://dx.doi.org/10.1136/annrheumdis-2020-eular.1016.

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Background:Development of a standardized approach to assess key elements of disease activity in rheumatology clinical trials has been the goal of Outcome Measures in Rheumatology Clinical Trials (OMERACT), American College of Rheumatology (ACR), and European League Against Rheumatism (EULAR).1,2,3The core sets of measures developed include assessments and composite indices incorporating use of patient-reported outcomes (PROs) and clinical measures and clinicians’ assessments to quantify disease activity over time.2PROs are important indicators of disease activity and variability, and they are
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Jun, Hu, Wu Junmin, and Wang Mengzhe. "Interval Pythagorean Fuzzy Decision Based on GWOWA Operator ∗." Mathematical Problems in Engineering 2022 (August 26, 2022): 1–11. http://dx.doi.org/10.1155/2022/9308502.

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For the multiattribute group decision-making problem in an interval Pythagorean fuzzy environment, the existing experts and scholars have extended the weighted average (WA), ordered weighted average (OWA), generalized ordered weighted average (GOWA), weighted ordered weighted average (WOWA), and other operators to interval fuzzy environment, while the research on the application and promotion of interval Pythagorean fuzzy with generalized weighted ordered weighted average (GWOWA) operator has not been carried out, GWOWA operator not only retains the advantages of WOWA operator but also introdu
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Tesfamariam, Solomon, and Rehan Sadiq. "Probabilistic risk analysis using ordered weighted averaging (OWA) operators." Stochastic Environmental Research and Risk Assessment 22, no. 1 (2006): 1–15. http://dx.doi.org/10.1007/s00477-006-0090-1.

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McDavitt, Cara, Thuan Nguyen, and Trisha E. Wong. "Outcomes of Massive Whole Blood Transfusions in Non-Trauma Patients." Blood 134, Supplement_1 (2019): 1177. http://dx.doi.org/10.1182/blood-2019-127171.

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INTRODUCTION: A massive transfusion protocol (MTP) is defined as a transfusion which exceeds the patient's estimated blood volume within 24 hours. The use of cold-stored, low-titer Group O whole blood (LTOWB) is well established for massive transfusion in military and civilian trauma. However, we do not yet have data supporting the use of LTOWB for non-trauma patients requiring a massive transfusion. Herein lies the importance of this retrospective cohort study as it seeks to answer important questions about the use of LTOWB in non-trauma patients. The primary aim of the study is to establish
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Arcozzi, Nicola, Sorina Barza, J. L. Garcia-Domingo, and Javier Soria. "Hardy's inequalities for monotone functions on partly ordered measure spaces." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 136, no. 5 (2006): 909–19. http://dx.doi.org/10.1017/s0308210500004790.

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We characterize the weighted Hardy inequalities for monotone functions in In dimension n = 1, this recovers the standard theory of Bp weights. For n > 1, the result was previously only known for the case p = 1. In fact, our main theorem is proved in the more general setting of partly ordered measure spaces.
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Moradi, M., M. R. Delavar, and B. Moshiri. "SENSITIVITY ANALYSIS OF ORDERED WEIGHTED AVERAGING OPERATOR IN EARTHQUAKE VULNERABILITY ASSESSMENT." ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences XL-1/W3 (September 24, 2013): 277–82. http://dx.doi.org/10.5194/isprsarchives-xl-1-w3-277-2013.

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Hu, Huaizhong, Qingyu Yang, and Yuanli Cai. "An opposite direction searching algorithm for calculating the type-1 ordered weighted average." Knowledge-Based Systems 52 (November 2013): 176–80. http://dx.doi.org/10.1016/j.knosys.2013.07.021.

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León-Castro, Ernesto, Luis Fernando Espinoza-Audelo, Ezequiel Aviles-Ochoa, Jose M. Merigó, and Janusz Kacprzyk. "A NEW MEASURE OF VOLATILITY USING INDUCED HEAVY MOVING AVERAGES." Technological and Economic Development of Economy 25, no. 4 (2019): 576–99. http://dx.doi.org/10.3846/tede.2019.9374.

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The volatility is a dispersion technique widely used in statistics and economics. This paper presents a new way to calculate volatility by using different extensions of the ordered weighted average (OWA) operator. This approach is called the induced heavy ordered weighted moving average (IHOWMA) volatility. The main advantage of this operator is that the classical volatility formula only takes into account the standard deviation and the average, while with this formulation it is possible to aggregate information according to the decision maker knowledge, expectations and attitude about the fut
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Çanak, İbrahim. "A Tauberian Theorem for a Weighted Mean Method of Summability in Ordered Spaces." National Academy Science Letters 43, no. 6 (2020): 553–55. http://dx.doi.org/10.1007/s40009-020-00915-1.

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Whalen, Thomas, and Daniel Pollack. "Decision tools to benefit children needing adoption." Human Systems Management 26, no. 1 (2007): 35–45. http://dx.doi.org/10.3233/hsm-2007-26104.

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Millions of children worldwide need permanent families. But traditional paper based methods, disagreements between agencies, and excessive nationalistic restrictions keep many children apart from potential parents able and eager to nurture them. This paper focuses on the use of Weighted Ordered Weighted Averages and linear assignment programming for matching orphaned or abandoned children with adoptive families. Traditional paper based, one-child-at-a-time approaches are slow, and speed matters, because of the well documented harm done when children spend too much time waiting. Our focus is on
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Saker, Halima, Rainer Machné, Jörg Fallmann, Douglas B. Murray, Ahmad M. Shahin, and Peter F. Stadler. "Weighted Consensus Segmentations." Computation 9, no. 2 (2021): 17. http://dx.doi.org/10.3390/computation9020017.

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The problem of segmenting linearly ordered data is frequently encountered in time-series analysis, computational biology, and natural language processing. Segmentations obtained independently from replicate data sets or from the same data with different methods or parameter settings pose the problem of computing an aggregate or consensus segmentation. This Segmentation Aggregation problem amounts to finding a segmentation that minimizes the sum of distances to the input segmentations. It is again a segmentation problem and can be solved by dynamic programming. The aim of this contribution is (
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Albaity, Majed, Tahir Mahmood, and Zeeshan Ali. "Impact of Machine Learning and Artificial Intelligence in Business Based on Intuitionistic Fuzzy Soft WASPAS Method." Mathematics 11, no. 6 (2023): 1453. http://dx.doi.org/10.3390/math11061453.

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Artificial intelligence (AI) is a well-known and reliable technology that enables a machine to simulate human behavior. While the major theme of AI is to make a smart computer system that thinks like a human to solve awkward problems, machine learning allows a machine to automatically learn from past information without the need for explicit programming. In this analysis, we aim to derive the idea of Aczel–Alsina aggregation operators based on an intuitionistic fuzzy soft set. The initial stage was the discovery of the primary and critical Aczel–Alsina operational laws for intuitionistic fuzzy
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Ashraf, Shahzaib, Muhammad Sohail, Adan Fatima, and Sayed M. Eldin. "Evaluation of economic development policies using a spherical fuzzy extended TODIM model with Z̆-numbers." PLOS ONE 18, no. 6 (2023): e0284862. http://dx.doi.org/10.1371/journal.pone.0284862.

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Zadeh’s Z̆-numbers are able to more effectively characterize uncertain information. Combined with “constraint” and “reliability”. It is more powerful at expressing human knowledge. While the reliability of data can have a direct impact on the precision of decisions. The key challenge in solving a Z̆-number issue is reasoning about both fuzzy and probabilistic uncertainty. Existing research on the Z̆-number measure is only some, and most studies cannot adequately convey the benefits of Z̆-information and the properties of Z̆-number. Considering this study void, this work concurrently investigat
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Mendoza-Arango, Iván Manuel, Eneko Echaniz, Luigi dell’Olio, and Eduardo Gutiérrez-González. "Weighted Variables Using Best-Worst Scaling in Ordered Logit Models for Public Transit Satisfaction." Sustainability 12, no. 13 (2020): 5318. http://dx.doi.org/10.3390/su12135318.

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Customer overall satisfaction regarding a public transport system is dependent on the satisfaction of the users with the attributes that make up the service, as well as the contribution that each of these attributes makes to explain the overall satisfaction. A common way of analysing the contribution of service attributes to explain overall satisfaction is through the use of ordered logit or probit models. This article presents an ordered logit model that considers the weighting of independent variables through the explicit importance calculated on the basis of a best-worst case 1 choice task.
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Savarimuthu, Charles, and Arockiam L. "Pairwise Fuzzy Ordered Weighted Average Algorithm-Gaussian Mixture Model for Feature Reduction." INTERNATIONAL JOURNAL OF COMPUTERS & TECHNOLOGY 6, no. 1 (2013): 287–301. http://dx.doi.org/10.24297/ijct.v6i1.4457.

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Feature Reduction is a kind of dimensionality reduction of feature space. There are a number of approaches are used to identify the significant features but they are not using the weighing approach. The weighing approach is quite useful for obtaining the significant features and removing the insignificant and irrelevant features using OWA formulation. The aim of this approach is to obtain the significant features and removing insignificant features by using the pairwise approach. This approach is helpful to find the weights of pairwise features at the same time, which leads to remove the insig
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Khan, Muhammad Sajjad Ali, Saleem Abdullah, Asad Ali, and Khaista Rahman. "Pythagorean Hesitant Fuzzy Information Aggregation and Their Application to Multi-Attribute Group Decision-Making Problems." Journal of Intelligent Systems 29, no. 1 (2018): 154–71. http://dx.doi.org/10.1515/jisys-2017-0231.

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Abstract In this paper, we introduce the concept of the Pythagorean hesitant fuzzy set (PHFS), which is the generalization of the intuitionistic hesitant fuzzy set under the restriction that the square sum of its membership degrees is ≤1. In decision making with PHFSs, aggregation operators play a key role because they can be used to synthesize multidimensional evaluation values represented as Pythagorean hesitant fuzzy values into collective values. Under PHFS environments, Pythagorean hesitant fuzzy ordered weighted averaging and Pythagorean fuzzy ordered weighted geometric operators are use
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Wang, Weize, and Xinwang Liu. "SOME HESITANT FUZZY GEOMETRIC OPERATORS AND THEIR APPLICATION TO MULTIPLE ATTRIBUTE GROUP DECISION MAKING." Technological and Economic Development of Economy 20, no. 3 (2014): 371–90. http://dx.doi.org/10.3846/20294913.2013.877094.

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Hesitant fuzzy set (HFS), a generalization of fuzzy set (FS), permits the membership degree of an element of a set to be represented as several possible values between 0 and 1. In this paper, motivated by the extension principle of HFs, we export Einstein operations on FSs to HFs, and develop some new aggregation operators, such as the hesitant fuzzy Einstein weighted geometric operator, hesitant fuzzy Einstein ordered weighted geometric operator, and hesitant fuzzy Einstein hybrid weighted geometric operator, for aggregating hesitant fuzzy elements. In addition, we discuss the correlations be
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Dong, Jiu-Ying, Li-Lian Lin, Feng Wang, and Shu-Ping Wan. "Generalized Choquet Integral Operator of Triangular Atanassov’s Intuitionistic Fuzzy Numbers and Application to Multi-Attribute Group Decision Making." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 24, no. 05 (2016): 647–83. http://dx.doi.org/10.1142/s0218488516500306.

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The purpose of this paper is to propose a new approach to interactive multi-attribute group decision making with triangular Atanassov's intuitionistic fuzzy numbers (TAIFNs). The contribution of this study is fivefold: (1) Minkowski distance between TAIFNs is firstly defined; (2) We define the possibility attitudinal expected values of TAIFNs and thereby present a novel risk attitudinal ranking method of TAIFNs which can sufficiently consider the risk attitude of decision maker; (3) The weighted average operator (TAIFWA) and generalized ordered weighted average (TAIFGWA) operator of TAIFNs are
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CHOI, YEMON. "APPROXIMATELY MULTIPLICATIVE MAPS FROM WEIGHTED SEMILATTICE ALGEBRAS." Journal of the Australian Mathematical Society 95, no. 1 (2013): 36–67. http://dx.doi.org/10.1017/s1446788713000189.

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AbstractWe investigate which weighted convolution algebras ${ \ell }_{\omega }^{1} (S)$, where $S$ is a semilattice, are AMNM in the sense of Johnson [‘Approximately multiplicative functionals’, J. Lond. Math. Soc. (2) 34(3) (1986), 489–510]. We give an explicit example where this is not the case. We show that the unweighted examples are all AMNM, as are all ${ \ell }_{\omega }^{1} (S)$ where $S$ has either finite width or finite height. Some of these finite-width examples are isomorphic to function algebras studied by Feinstein [‘Strong Ditkin algebras without bounded relative units’, Int. J.
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Ali, Zeeshan, Tahir Mahmood, Muhammad Aslam, and Ronnason Chinram. "Another View of Complex Intuitionistic Fuzzy Soft Sets Based on Prioritized Aggregation Operators and Their Applications to Multiattribute Decision Making." Mathematics 9, no. 16 (2021): 1922. http://dx.doi.org/10.3390/math9161922.

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In a conventional interpretation of decision-making based on ambiguity, a decision-maker must prefer the best possible opportunity including various feasible possibilities. However, the dilemma of picking the best possible alternative has continued to be a substantial task to resolve. In this manuscript, we improve the existing complex intuitionistic fuzzy soft set (CIFSS), which includes the grade of truth and falsity with the rule that the sum of the real and imaginary parts of both grades is confined to [0, 1]. CIFS is a valuable procedure to determine the authenticity and consistency of th
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Tehreem, Amjad Hussain, and Ahmed Alsanad. "Novel Dombi Aggregation Operators in Spherical Cubic Fuzzy Information with Applications in Multiple Attribute Decision-Making." Mathematical Problems in Engineering 2021 (July 10, 2021): 1–25. http://dx.doi.org/10.1155/2021/9921553.

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The notion of spherical fuzzy sets (SFSs) is one of the most effective ways to model the fuzzy information in decision-making processes. The sum of squares of membership, neutral, and nonmembership degrees in SFSs lies in the interval [0, 1] and accommodates more uncertainties. Henceforth, in this article, the idea of spherical cubic fuzzy sets (SCFSs) is introduced, which is the generalization of SFSs. Spherical cubic fuzzy set is the combination of spherical fuzzy sets and interval-valued spherical fuzzy sets. The membership, neutral, and nonmembership degrees in an SCFS are cubic fuzzy numb
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MARCHANT, T. "MAXIMAL ORNESS WEIGHTS WITH A FIXED VARIABILITY FOR OWA OPERATORS." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 14, no. 03 (2006): 271–76. http://dx.doi.org/10.1142/s021848850600400x.

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When using the ordered weighted average operator, it can happen that one wants to optimize the variability (measured by the entropy (maximal) or by the variance (minimal)) of the weights while keeping the orness of this operator at a fixed level. This has been considered by several authors. Dually, there might be some contexts where one wishes to maximize the orness while guaranteeing some fixed variability. In this paper, we present two algorithms for finding such weights, when the variability is captured by the entropy and by the variance.
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Oh, Se-Woong, Gyei-Kark Park, Jong-Min Park, and Sang-Hyun Suh. "A Study on the Location Analysis Using Spatial Analysis and Ordered Weighted Averaging Operator Weighting Functions." Journal of Advanced Computational Intelligence and Intelligent Informatics 12, no. 6 (2008): 529–36. http://dx.doi.org/10.20965/jaciii.2008.p0529.

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In this thesis, we proposed the method combining spatial analysis, selection method of weighting values, aggregating decision strategy. To select a sites proposed for ship anchorage, we analyzed spatial data. Fuzzy AHP was used as selection method of weighting values to incorporate the fuzzy set theory and the basic nature of subjectivity due to ambiguity to achieve a flexible decision approach suitable for uncertain and fuzzy environments. To obtain the score that corresponds to the best alternative or the ranking of the alternatives, we need to use a total order for the fuzzy numbers involve
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Wright, Karen C., Patricia Harnden, Sue Moss, Dan M. Berney, and Jane Melia. "A practical application of analysing weighted kappa for panels of experts and EQA schemes in pathology." Journal of Clinical Pathology 64, no. 3 (2011): 257–60. http://dx.doi.org/10.1136/jcp.2010.086330.

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BackgroundKappa statistics are frequently used to analyse observer agreement for panels of experts and External Quality Assurance (EQA) schemes and generally treat all disagreements as total disagreement. However, the differences between ordered categories may not be of equal importance (eg, the difference between grades 1 vs 2 compared with 1 vs 3). Weighted kappa can be used to adjust for this when comparing a small number of readers, but this has not as yet been applied to the large number of readers typical of a national EQA scheme.AimTo develop and validate a method for applying weighted
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Tommy, Lukas, Dian Novianto, and Yohanes Setiawan Japriadi. "Sistem Rekomendasi Hybrid untuk Pemesanan Hidangan Berdasarkan Karakteristik dan Rating Hidangan." Journal of Applied Informatics and Computing 4, no. 2 (2020): 137–45. http://dx.doi.org/10.30871/jaic.v4i2.2687.

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The method that was often applied in recommender systems was content-based filtering or collaborative filtering which had several drawbacks if applied singly so that its accuracy was not too high. This study intended to solve the drawbacks of both by combining these two methods into a hybrid method. Apriori algorithm was used to provided recommendations based on dishes’s category and price range in customer order history or wishlist. The similarity between dishes was calculated using adjusted-cosine similarity algorithm while customer’s rating for dishes prediction was calculated using weighte
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Riaz, Muhammad, Aurang Zeb, Fawad Ali, Muhammad Naeem, and Sama Arjika. "Fermatean Cubic Fuzzy Aggregation Operators and Their Application in Multiattribute Decision-Making Problems." Journal of Function Spaces 2022 (November 30, 2022): 1–18. http://dx.doi.org/10.1155/2022/3664302.

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The purpose of aggregation methods is to convert a list of objects of a set into a single object of the same set usually by an n -arry function, so-called aggregation operator. The key features of this work are the aggregation operators, because they are based on a novel set called Fermatean cubic fuzzy set (F-CFS). F-CFS has greater spatial scope and can deal with more ambiguous situations where other fuzzy set extensions fail to support them. For this purpose, the notion of F-CFS is defined. F-CFS is the transformation of intuitionistic cubic fuzzy set (I-CFS), Pythagorean cubic fuzzy set (P
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Bain, Emily. "Local correlation functions of the two-periodic weighted Aztec diamond in mesoscopic limit." Journal of Mathematical Physics 64, no. 2 (2023): 023301. http://dx.doi.org/10.1063/5.0097256.

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Here, we study the two-periodic weighted dimer model on the Aztec diamond graph. In the thermodynamic limit when the size of the graph goes to infinity while weights are fixed, the model develops a limit shape with frozen regions near corners, a flat “diamond” in the center with a noncritical (ordered) phase, and a disordered phase separating this diamond and the frozen phase. We show that in the mesoscopic scaling limit, when weights scale in the thermodynamic limit such that the size of the “flat diamond” is of the same order as the correlation length inside the diamond, fluctuations of the
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Da, Cheng, Qian-Fan Chen, Peng-Fei Zhang, and Hong-Yi Fan. "Time evolution law of the Laguerre-polynomial-weighted chaotic photon field in an amplitude-damping channel." Canadian Journal of Physics 93, no. 3 (2015): 283–89. http://dx.doi.org/10.1139/cjp-2014-0278.

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We examine how a Laguerre-polynomial-weighted chaotic photon field (LPWCPF), whose density operator is [Formula: see text], evolves in an amplitude-damping channel. By using a newly derived generating function of two-variable Hermite polynomials we obtain the evolution law of LPWCPF, which turns out to be a new LPWCPF with a new parameter, depending on 1 − e−2κt, where κ represents decay rate. The technique of integration (summation) within an ordered product of operators is used in our discussions.
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Verma, Rajkumar. "A Decision-Making Approach Based on New Aggregation Operators under Fermatean Fuzzy Linguistic Information Environment." Axioms 10, no. 2 (2021): 113. http://dx.doi.org/10.3390/axioms10020113.

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Fermatean fuzzy linguistic (FFL) set theory provides an efficient tool for modeling a higher level of uncertain and imprecise information, which cannot be represented using intuitionistic fuzzy linguistic (IFL)/Pythagorean fuzzy linguistic (PFL) sets. On the other hand, the linguistic scale function (LSF) is the better way to consider the semantics of the linguistic terms during the evaluation process. It is worth noting that the existing operational laws and aggregation operators (AOs) for Fermatean fuzzy linguistic numbers (FFLNs) are not valid in many situations, which can generate errors i
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He, Rui, and Hong-Yi Fan. "Evolution of l-photon excited thermo vacuum state in a single-mode damping channel." International Journal of Modern Physics B 30, no. 05 (2016): 1650009. http://dx.doi.org/10.1142/s0217979216500090.

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In this paper, we investigate how a kind of non-Gaussian states (l-photon excited thermo vacuum state [Formula: see text]) evolves in a single-mode damping channel. We find that it evolves into a Laguerre-polynomial-weighted real–fictitious squeezed thermo vacuum state, which exhibits strong decoherence and its original nonclassicality fades. In particular, when l = 0, in this damping process the thermo squeezing effect decreases while the fictitious-mode vacuum becomes chaotic. In overcoming the difficulty of calculation, we employ the summation method within ordered product of operators, a n
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Saigusa, Yusuke, Tomomasa Takada, Aki Ishii, Tomoyuki Nakagawa, and Sadao Tomizawa. "Measure of departure from cumulative local symmetry for square contingency tables having ordered categories." Biometrical Letters 57, no. 1 (2020): 23–35. http://dx.doi.org/10.2478/bile-2020-0003.

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SummaryFor square contingency tables with nominal categories, a local symmetry model which indicates the symmetric structure of probabilities for only one pair of symmetric cells is proposed. For ordinal square tables, the present paper proposes (1) another local symmetry model for cumulative probabilities from the upper-right and lower-left corners of the table, and (2) a measure to represent the degree of departure from the proposed model. The measure has the form of a weighted harmonic mean of the diversity index, which includes the Shannon entropy as a special case. Examples are given in w
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38

Takáč, Zdenko. "Three Ways of Defining Owa Operator on the Set of All Normal Convex Fuzzy Sets." Tatra Mountains Mathematical Publications 69, no. 1 (2017): 101–18. http://dx.doi.org/10.1515/tmmp-2017-0017.

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Abstract We deal with an extension of ordered weighted averaging (OWA, for short) operators to the set of all normal convex fuzzy sets in [0, 1]. The main obstacle to achieve this goal is the non-existence of a linear order for fuzzy sets. Three ways of dealing with the lack of a linear order on some set and defining OWA operators on the set appeared in the recent literature. We adapt the three approaches for the set of all normal convex fuzzy sets in [0, 1] and study their properties. It is shown that each of the three approaches leads to operator with desired algebraic properties, and two of
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39

XU, SHI-MIN, XING-LEI XU, and HONG-QI LI. "COMMON EIGENVECTORS OF N PARTICLES' COMPATIBLE OBSERVABLES AND ITS SQUEEZING OPERATOR." Modern Physics Letters B 22, no. 17 (2008): 1673–82. http://dx.doi.org/10.1142/s0217984908016327.

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We construct 2N operators for a N-particle system, namely one center-of-mass coordinate operator, N-1 relative coordinate operators, one total momentum operator and N-1 mass-weighted relative momentum operators, and give common eigenvectors of N compatible observables [Formula: see text], which are composed of N particles' coordinate [Formula: see text] and momentum [Formula: see text]. By compatible, we mean such observables can be simultaneously determined. Using the technique of integration within an ordered product of operators (IWOP), we prove that the common eigenvectors are complete and
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40

P.K, Chidambaram, Chinnasami Sivaji, Ashwini Murugan, and M. Ramachandran. "Performance Analysis of Materials Selection Using Weighted Product Method (WPM)." Journal on Materials and its Characterization 1, no. 1 (2022): 38–45. http://dx.doi.org/10.46632/jmc/1/1/5.

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Materials selection. The choice of materials is a sorted one is the process by which engineers remove one or a small number of items that can be found most suitable. Successful engineering design material selection is critical to the process. As much as possible your preparation must be strong and durable that’s what you want. Security to consider there are also implications. You see, with poor material, there are many more dangerous failures arising from examination a very common occurrence in industries. The weighted product method is a multi-criteria decision-making process there are many a
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Bernardis, A. L., F. J. Martín-Reyes, and P. Ortega Salvador. "Weighted Inequalities for Hardy–Steklov Operators." Canadian Journal of Mathematics 59, no. 2 (2007): 276–95. http://dx.doi.org/10.4153/cjm-2007-011-x.

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AbstractWe characterize the pairs of weights (v, w) for which the operator with s and h increasing and continuous functions is of strong type (p, q) or weak type (p, q) with respect to the pair (v, w) in the case 0 < q < p and 1 < p < ∞. The result for the weak type is new while the characterizations for the strong type improve the ones given by H. P. Heinig and G. Sinnamon. In particular, we do not assume differentiability properties on s and h and we obtain that the strong type inequality (p, q), q < p, is characterized by the fact that the functionbelongs to Lr(gqw), where 1/
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42

PRUTSKIJ, TATIANA A., PEDRO DÍAZ ARENCIBIA, ALEXANDER MINTAIROV, JAMES MERZ, and THOMAS H. KOSEL. "ORDERED VERSUS DISORDERED InGaP LAYERS GROWN BY LIQUID PHASE EPITAXY." Modern Physics Letters B 15, no. 17n19 (2001): 651–54. http://dx.doi.org/10.1142/s021798490100221x.

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We make a comparative study of the optical and structural characteristics of two InxGa1-xP(x≈0.5 ) films nearly lattice matched to GaAs, (here referred to as disordered type 1 sample (S1) and ordered type 2 sample (S2)). The films were grown by liquid phase epitaxy (LPE). Photoluminescence (PL) measurements were performed in a wide temperature and exciting power density range for different polarization of the emitted radiation along the [110] and [1-10] directions. Observations suggest that the InxGa1-xP layer in sample 1 is disordered, as commonly obtained in LPE growth, while in sample 2 at
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43

Yan, Zhiyuan, Han Ren, Yuan Geng, et al. "Study of Fe-Doped Ordered Mesoporous Titanium Dioxide Synthesis." Journal of Physics: Conference Series 2539, no. 1 (2023): 012052. http://dx.doi.org/10.1088/1742-6596/2539/1/012052.

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Abstract Titanium dioxide is often designed as an excellent catalyst carrier and photocatalyst due to its tunable structure. In this paper, iron-doped ordered mesoporous titanium dioxide was prepared. These powders were characterized by X-ray diffraction (XRD), transmission electron microscopy (TEM) and nitrogen physisorption (BET). It was found that mesoporous titanium dioxide powders containing 1% Fe doping were roasted at 350 °C to favor the formation of ordered mesoporous titanium dioxide. This is due to the fact that Fe doping can enhance the pore structure and improve the orderliness of
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44

HAUCK, J., and K. MIKA. "INTERACTIONS IN ORDERED SURFACTANTS, POLYMERS AND COLLOIDS." International Journal of Modern Physics B 17, no. 10 (2003): 2053–60. http://dx.doi.org/10.1142/s021797920301803x.

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The surfactant structures are approximately given by the zero-potential surfaces of A + and B - atoms in circle or sphere packings. The Dirichlet domains of A atoms are connected by T1 channels to neighboring A domains in rod like structures with T1 = 2, or layered structures at increased T1 values. Micelles are usually isolated with T1 = 0 or 1 channels. Layered or rod like structures are formed at A–A attraction while isolated micelles are formed at repulsive A–A interactions. The rod like structures are similar to polymer chains of A = carbon atoms with T1 = 2 neighbors. The ordered micelle
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45

Trukhanov, S. V., I. O. Troyanchuk, A. V. Trukhanov, and H. Szymczak. "Effect of the A-Site Randomness on Magnetotransport Properties of PrBaMn2O6 Manganites." Solid State Phenomena 128 (October 2007): 187–92. http://dx.doi.org/10.4028/www.scientific.net/ssp.128.187.

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A-site ordered PrBaMn2O6 manganites were obtained by a two-step synthesis process. The chemical composition, crystal structure, magnetic and magnetotransport properties have been investigated with regard to the degree of ordering of the Pr3+ and Ba2+ cations. A-site disordered Pr0.50Ba0.50MnO3 has a cubic perovskite-like unit cell (SG = Pm3m , Z = 1), while the A-site ordered PrBaMn2O6 has a tetragonal unit cell (SG = P4/mmm, Z = 2). The A-site ordered state in PrBaMn2O6 remains stable on heating to 1300 0C in an oxidizing medium (P[O2] = 1 bar). The cation ordering leads to a significant incr
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Liang, Shiyuan, Hui Cao, and Henglong Shen. "Intelligent Evaluation Method of Marine Engine Simulator Based on Combination Weighting." Journal of Physics: Conference Series 2173, no. 1 (2022): 012003. http://dx.doi.org/10.1088/1742-6596/2173/1/012003.

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Abstract In order to solve the problems of objectivity and inaccuracy in the current evaluation of marine engine simulator, an evaluation model is established based on C-OWA (combination ordered weighted averaging)-the Coefficient of Variation method-minimum discriminant information principle combination weighting method and Vague set. Taking standby of marine generator project as an experiment example, the evaluation index system is established, and the evaluation model is applied to evaluate each evaluation team, and the final operation score of each team is obtained. The results show that (
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47

Repovš, Dušan D., and Calogero Vetro. "The behavior of solutions of a parametric weighted $ (p, q) $-Laplacian equation." AIMS Mathematics 7, no. 1 (2021): 499–517. http://dx.doi.org/10.3934/math.2022032.

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<abstract><p>We study the behavior of solutions for the parametric equation</p> <p><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ -\Delta_{p}^{a_1} u(z)-\Delta_{q}^{a_2} u(z) = \lambda |u(z)|^{q-2} u(z)+f(z,u(z)) \quad \mbox{in } \Omega,\, \lambda >0, $\end{document} </tex-math></disp-formula></p> <p>under Dirichlet condition, where $ \Omega \subseteq \mathbb{R}^N $ is a bounded domain with a $ C^2 $-boundary $ \partial \Omega $, $ a_1, a_2 \in L^\infty(\Omega) $ with $ a_1(z), a_2(z) > 0 $ for a.a.
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48

Yan, Y., Z. Xu, D. Viehland, and S. J. Pennycook. "Z-Contrast Imaging of Ordered Structures in Pb(Mg1/3Nb2/3)O3 and Ba(Mg1/3Nb2/3)O3." Microscopy and Microanalysis 4, S2 (1998): 554–55. http://dx.doi.org/10.1017/s1431927600022893.

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Lead-based cubic perovskites such as Pb(B2+1/3B5+2/3)O3 (B2+ = Mg, Co, Ni, Zn; B5+ = Nb, Ta) are relaxor ferroelectrics. Localized order and disorder often occur in materials of this type. In the Pb(Mg1/3Nb2/3)O3 (PMN) family, previous studies have proposed two models, space-charge and charge-balance models. In the first model, the ordered regions carry a net negative charge [Pb(Mg1/2Nb,/2)03], while in the second model it does not carry a net charge [Pb((Mg2/3Nb1/3)1/2Nb1/2)03]. However, no direct evidence for these two models has appeared in the literature yet. In this paper we report the fi
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49

Wu, Yunna, Lei Qin, Chuanbo Xu, and Shaoyu Ji. "Site Selection of Waste-to-Energy (WtE) Plant considering Public Satisfaction by an Extended VIKOR Method." Mathematical Problems in Engineering 2018 (November 8, 2018): 1–17. http://dx.doi.org/10.1155/2018/5213504.

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Site selection of waste-to-energy (WtE) plant is critically important in the whole life cycle. Some research has been launched in the WtE plant site selection, but there is still a serious problem called Not In My Back Yard (NIMBY) effect that needs to be solved. To solve the problem, an improved multigroup VIKOR method is proposed to choose the optimal site and compromised sites. In the proposed method, the public satisfaction is fully considered where the public is invited as an evaluation group far more than creating general indicators to represent the public acceptance. First of all, an el
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50

Schubert, R. J., and K. J. Range. "Tetra-n-butylammoniumdicyanoaurat(I), (n-C4H9)4NAu(CN)2 / Tetra-n-butylammonium Dicyanoaurate(I), (n-C4H9)4NAu(CN)2." Zeitschrift für Naturforschung B 45, no. 8 (1990): 1118–22. http://dx.doi.org/10.1515/znb-1990-0802.

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Single crystals of (n-C4H9)4NAu(CN)2 were obtained by crystallization using the temperature decreasing method in a newly developed computer-controlled apparatus. The colourless crystals are monoclinic, space group A2/n, with a = 20.216(2) Å, b = 13.130(1) Å, c = 9.328(1) Å, and β = 109.69(1)°. The measured density is 1.45 g/cm3, which agrees with the calculated density of 1.40 g/cm3 for Ζ = 4. The structure was solved by Direct Methods using 674 independent reflections and refined by least-squares procedures to conventional and weighted R factors of 0.068 and 0.058, respectively. The nearly li
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