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1

Kaino, Toshihiro, and Kaoru Hirota. "Differentiation of the Choquet Integral and Its Application to Long-term Debt Ratings." Journal of Advanced Computational Intelligence and Intelligent Informatics 4, no. 1 (2000): 66–75. http://dx.doi.org/10.20965/jaciii.2000.p0066.

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Differentiation of the Choquet integral of a nonnegative measurable function with respect to a fuzzy measure on fuzzy measure space is proposed and it is applied to the capital investment decision making problem by Kaino and Hirota. In this paper, differentiation of the Choquet integral of a nonnegative measurable function is extended to differentiation of the Sipos Choquet integral of a measurable function and its properties will be discussed. First, the real interval limited Schmeidler Choquet integral and Sipos Choquet integral are defined for preparation, then the upper differential coeffi
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2

Gurbuz, Tuncay. "Multiple Criteria Human Performance Evaluation Using Choquet Integral." International Journal of Computational Intelligence Systems 3, no. 3 (2010): 290. http://dx.doi.org/10.2991/ijcis.2010.3.3.5.

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Pasrija, Vatesh, and Praveen Ranjan Srivastava. "Evaluation of Software Quality using Choquet Integral Approach." International Journal of Fuzzy System Applications 3, no. 1 (2013): 51–81. http://dx.doi.org/10.4018/ijfsa.2013010104.

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Software development comprises of processes which can be controlled, managed and improved by software measurement. The efficiency of software measurement is determined by software quality, which assesses the position of any software company in the international economic scenario. This calls for a need to develop quality models which would quantify the various quality parameters. However, these quality parameters are highly vague, by nature, and cannot be easily quantized nor measured. The Boehm’s Model, McCall’s Model, and ISO/IEC 9126 Model are existing quality models made by software quality
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4

M. Alashqar, Abdelkareem, Ahmad Abo Elfetouh, and Hazem M. El-Bakry. "ISO9126 Based Software Quality Evaluation Using Choquet Integral." International Journal of Software Engineering & Applications 6, no. 1 (2015): 111–21. http://dx.doi.org/10.5121/ijsea.2015.6110.

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5

Gürbüz, Tuncay. "Multiple Criteria Human Performance Evaluation Using Choquet Integral." International Journal of Computational Intelligence Systems 3, no. 3 (2010): 290–300. http://dx.doi.org/10.1080/18756891.2010.9727700.

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6

DEVEDŽIĆ, G. "LINGUISTIC AND CHOQUET INTEGRAL BASED EVALUATION IN PROCESS PLANNING." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 09, supp01 (2001): 115–29. http://dx.doi.org/10.1142/s0218488501001034.

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This paper addresses fuzzy evaluation issues as applied in a decision–making procedure of process planning. General framework of fuzzy partitioning of system variables, evaluation procedure, and system variables, evaluation procedure, and system parameters aggregation have been described in detail for two classes and three distinguishing types of evaluation. Classes of evaluation include (a) linguistic, and (b) fuzzy (Choquet) integral based evaluation. Within these classes we distinguish between: (1) single criterion evaluation, (2) global multicriteria evaluation, and (3) global integral eva
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7

Kulkarni, S. H., and S. Arundhathi. "Choquet Boundary for Real Function Algebras." Canadian Journal of Mathematics 40, no. 5 (1988): 1084–104. http://dx.doi.org/10.4153/cjm-1988-045-x.

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The concepts of Choquet boundary and Shilov boundary are well-established in the context of a complex function algebra (see [2] for example). There have been a few attempts to develop the concept of a Shilov boundary for real algebras, [4], [6] and [7]. But there seems to be none to develop the concept of Choquet boundary for real algebras.The aim of this paper is to develop the theory of Choquet boundary of a real function algebra (see Definition (1.8)) along the lines of the corresponding theory for a complex function algebra.In the first section we define a real-part representing measure fo
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8

Dumnić, Slaviša, Katarina Mostarac, Milena Ninović, Bojan Jovanović, and Sandra Buhmiler. "Application of the Choquet Integral: A Case Study on a Personnel Selection Problem." Sustainability 14, no. 9 (2022): 5120. http://dx.doi.org/10.3390/su14095120.

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Personnel selection plays a decisive role in human resource management since it determines the input quality of personnel. One approach, fuzzy decision-making methods, has become popular in decision making for personnel selection, considering those methods provide a wide range of tools for dealing with uncertainty. Choquet integral is an aggregation operator, frequently used to unite interrelated information. Choquet integral, with respect to fuzzy, allows consideration of the phenomenon of dependence between criteria. In this paper, personnel selection was performed using the Choquet integral
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9

Dumnić, Slaviša, Katarina Mostarac, Milena Ninović, Bojan Jovanović, and Sandra Buhmiler. "Application of the Choquet Integral: A Case Study on a Personnel Selection Problem." Sustainability 14, no. 9 (2022): 5120. http://dx.doi.org/10.3390/su14095120.

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Personnel selection plays a decisive role in human resource management since it determines the input quality of personnel. One approach, fuzzy decision-making methods, has become popular in decision making for personnel selection, considering those methods provide a wide range of tools for dealing with uncertainty. Choquet integral is an aggregation operator, frequently used to unite interrelated information. Choquet integral, with respect to fuzzy, allows consideration of the phenomenon of dependence between criteria. In this paper, personnel selection was performed using the Choquet integral
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10

Xiuqiong Yang, Xiuqiong Yang. "Financial Risk Assessment Model Based on Fuzzy Logic." Journal of Electrical Systems 20, no. 1 (2024): 192–205. http://dx.doi.org/10.52783/jes.676.

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In the rapidly evolving landscape of business operations, establishing a robust security domain prevention system in the Middle Office is of utmost importance. To achieve this, the integration of Choquet expectation-based methodologies offers a powerful approach. The Middle Office acts as a critical hub for various business processes, including risk management, compliance, and data protection. With the implementation of Choquet expectation theory, which encompasses the combination of multiple criteria and preferences, businesses can effectively assess and optimize their security domain prevent
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11

Tajani, Francesco, Maria Guarini, Francesco Sica, Rossana Ranieri, and Debora Anelli. "Multi-Criteria Analysis and Sustainable Accounting. Defining Indices of Sustainability under Choquet’s Integral." Sustainability 14, no. 5 (2022): 2782. http://dx.doi.org/10.3390/su14052782.

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The assessment of sustainability—in its three meanings: economic, social, and environmental ones—needs to be supported by specific econometric and statistical methodologies in order to be properly considered in policymaking processes. In the current literature the use of specific indices, capable of summarizing the three fields of sustainability, is a proven operational practice to express judgments on the convenience and the feasibility of investment in cities. It is necessary to specify that most sustainability indices are ordinarily calculated as arithmetic and geometric means of sub-dimens
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12

Tsai, Hui-Hua, and Iuan-Yuan Lu. "The evaluation of service quality using generalized Choquet integral." Information Sciences 176, no. 6 (2006): 640–63. http://dx.doi.org/10.1016/j.ins.2005.01.015.

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13

Zhang, Biao, Zu-Wei Yu, and Ji-Shu Shao. "Research on the Comprehensive Evaluation in Enterprise Operation Environment with Normal Distribution Interval Number." Journal of Computational and Theoretical Nanoscience 13, no. 10 (2016): 7342–46. http://dx.doi.org/10.1166/jctn.2016.5723.

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In this paper, we use the Choquet integral to propose the normal distribution interval number Choquet ordered averaging operator. The operator not only considers the importance of the elements, but also can reflect the correlations among the elements. It is worth pointing out that most of the existing normal distribution interval numbers averaging operators are special cases of our operator. Finally an illustrative example for comprehensive evaluation in enterprise operation environment with normal distribution interval number is given to use the operator in the range of uncertain multi-attrib
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14

Ozdemir, Yavuz, and Sahika Ozdemir. "Extended prioritizing of store plan alternatives produced with shape grammar using the generalized Choquet integral method." Environment and Planning B: Urban Analytics and City Science 46, no. 5 (2017): 931–47. http://dx.doi.org/10.1177/2399808317739892.

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In the previous paper, the store plan alternatives produced with shape grammar were evaluated using two of multi-criteria decision making techniques with triangular fuzzy numbers, namely fuzzy Analytic Hierarchy Process and fuzzy ANP. In addition to fuzzy Analytic Hierarchy Process and fuzzy ANP results, another multi-criteria decision making technique, the generalized Choquet integral method with trapezoidal fuzzy numbers, is used for evaluation and the result of this method is compared with fuzzy Analytic Hierarchy Process and fuzzy ANP results. The main contribution of this paper is to dete
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15

TAKAHAGI, Eiichiro. "Choquet-integral-based Comprehensive Evaluation Methods by Fuzzy Rule Tables." Journal of Japan Society for Fuzzy Theory and Intelligent Informatics 21, no. 4 (2009): 480–90. http://dx.doi.org/10.3156/jsoft.21.480.

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16

V. C., Moulianitis, and Aspragathos N. A. "DESIGN EVALUATION WITH MECHATRONICS INDEX USING THE DISCRETE CHOQUET INTEGRAL." IFAC Proceedings Volumes 39, no. 16 (2006): 348–53. http://dx.doi.org/10.3182/20060912-3-de-2911.00062.

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17

Grabisch, M., H. Prade, EA Raufaste, and P. Terrier. "APPLICATION OF THE CHOQUET INTEGRAL TO SUBJECTIVE MENTAL WORKLOAD EVALUATION." IFAC Proceedings Volumes 39, no. 4 (2006): 135–40. http://dx.doi.org/10.3182/20060522-3-fr-2904.00022.

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18

Ji, Haixia, Zaiwu Gong, Qiong Wu, and Zhecheng Wang. "Evaluating the Marine Environmental Concealment Risk Levels Using a Fuzzy Choquet Integral Model." International Journal of Fuzzy System Applications 14, no. 1 (2025): 1–26. https://doi.org/10.4018/ijfsa.369723.

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The evaluation of marine environmental concealment is crucial for underwater activities. Traditional assessment methods do not fully leverage risk indicators and expert experience. To address this, this paper proposes a marine environmental concealment assessment model based on a 2-additive piecewise linear Choquet integral. This model combines the fuzzy measure to aggregate the utility values of various environmental indicators, integrating both expert opinions and objective data, while also considering the nonlinear interactions between indicators. Verification using real ocean data and expe
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19

Jiao, Yangyang, Lu Wang, Jianxia Liu, and Gang Ma. "Multi-criteria decision making based on induced generalized interval neutrosophic Choquet integral." PLOS ONE 15, no. 12 (2020): e0242449. http://dx.doi.org/10.1371/journal.pone.0242449.

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In this paper, two new aggregation operators based on Choquet integral, namely the induced generalized interval neutrosophic Choquet integral average operator(IGINCIA) and the induced generalized interval neutrosophic Choquet integral geometric operator(IG-INCIG), are proposed for multi-criteria decision making problems (MCDM). Firstly, the criteria are dependent to each other and the evaluation information of the criteria are expressed by interval neutrosophic numbers. Moreover, two indices which are inspired by the geometrical structure are established to compare the interval neutrosophic nu
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20

Sirbiladze, Gia. "Associated Probabilities in Interactive MADM under Discrimination q-Rung Picture Linguistic Environment." Mathematics 9, no. 18 (2021): 2337. http://dx.doi.org/10.3390/math9182337.

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In some multi-attribute decision-making (MADM) models studying attributes’ interactive phenomena is very important for the minimizing decision risks. Usually, the Choquet integral type aggregations are considered in such problems. However, the Choquet integral aggregations do not consider all attributes’ interactions; therefore, in many cases, when these interactions are revealed in less degree, they do not perceive these interactions and their utility in MADM problems is less useful. For the decision of this problem, we create the Choquet integral-based new aggregation operators’ family which
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21

Zhu, Nuojin, Huaiqiang Zhang, Yang Yang, Boyuan Shi, and Kun Gao. "Equipment Development Scheme Decision Based on IFS-Choquet Integral Improved Matter Element Model." Mathematical Problems in Engineering 2023 (April 24, 2023): 1–14. http://dx.doi.org/10.1155/2023/9588802.

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An optimized matter element decision method is proposed based on intuitionistic fuzzy set (IFS) and Choquet integral to solve the problems of equipment development scheme decision (e.g., the correlation of scheme attributes and the low decision reliability of evaluation results). First, the nonlinear programming problem of expert intuition fuzzy subjective and objective decision information difference is constructed using the Choquet integral method, and the measure values and related factors of decision attributes are solved using the optimization algorithm. Second, given the comprehensive co
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22

Liu, Yong Sheng, and Zan Zhang. "An Evaluation Model Based on Rough Sets." Applied Mechanics and Materials 602-605 (August 2014): 3379–83. http://dx.doi.org/10.4028/www.scientific.net/amm.602-605.3379.

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In multiattribute decision making, it is critical to indentify the importance degree of attributes before the overall assessment of the alternatives. In this paper, we give a measurement of importance degree of attributes based on knowledge discovery in the decision information system, which satisfies the conditions of fuzzy measure. Further, we construct an evaluation model combined Choquet integral with the importance degree measure. The case study illustrates the validity and the effectiveness of the method.
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23

Ludwig, Simone A. "Performance Analysis of Data Fusion Methods Applied to Epileptic Seizure Recognition." Journal of Artificial Intelligence and Soft Computing Research 12, no. 1 (2021): 5–17. http://dx.doi.org/10.2478/jaiscr-2022-0001.

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Abstract Epilepsy is a chronic neurological disorder that is caused by unprovoked recurrent seizures. The most commonly used tool for the diagnosis of epilepsy is the electroencephalogram (EEG) whereby the electrical activity of the brain is measured. In order to prevent potential risks, the patients have to be monitored as to detect an epileptic episode early on and to provide prevention measures. Many different research studies have used a combination of time and frequency features for the automatic recognition of epileptic seizures. In this paper, two fusion methods are compared. The first
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24

Ozdemir, Yavuz, and Sahika Ozdemir. "Residential heating system selection using the generalized Choquet integral method with the perspective of energy." Energy & Environment 30, no. 1 (2018): 121–40. http://dx.doi.org/10.1177/0958305x18787298.

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Using energy effectively is one of the most important issues and problems that countries should take up. As a parallel of increasing energy demands worldwide and still mostly using fossil fuels, energy saving issues have gained much importance in recent years for all areas of life. It is a fact that construction also plays an important role in the emergence of the energy and environmental problem that we see as the problem of our centenary. As buildings consume about 40% of the world's annual energy consumption globally, this study will focus on the evaluation of residential heating system alt
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25

CHAI, YUANYUAN, and LIMIN JIA. "CHOQUET INTEGRAL–OWA BASED ADAPTIVE NEURAL FUZZY INFERENCE SYSTEM WITH APPLICATION." International Journal of Computational Intelligence and Applications 10, no. 01 (2011): 15–34. http://dx.doi.org/10.1142/s1469026811002970.

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In order to solve the defects of consequent part expression in ANFIS model and several shortcomings in FIS, this paper presents a Choquet Integral–OWA based Fuzzy Inference System, known as AggFIS. This model has advantages in consequent part of fuzzy rule, universal expression of fuzzy inference operator and importance factor of each criteria and each rule, which is trying to establish fuzzy inference system that can fully reflect the essence of fuzzy logic and human thinking pattern. If we combine AggFIS with a feed forward-type neural network according to the basic principles of fuzzy neura
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YANG, WEI. "INDUCED CHOQUET INTEGRALS OF 2-TUPLE LINGUISTIC INFORMATION." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 21, no. 02 (2013): 175–200. http://dx.doi.org/10.1142/s0218488513500104.

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The group decision making problem with inter-dependent or interactive attributes is studied. By using the Choquet integral and the inducing variables, we develop the induced 2-tuple correlated averaging (ITCA) operator, the generalized induced 2-tuple correlated averaging (GITCA) operator and the quasi-arithmetic induced 2-tuple correlated averaging (QITCA) operator. The characteristics of the proposed operators are that the evaluation values of decision makers are in linguistic arguments, the correlations among the elements can be reflected and the ordering of the arguments is based on other
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27

Zhu, Lei, Kaixin Cheng, Lei Wang, and Wei Tong. "QOE Based Heterogeneous Network Selection Using Pythagorean Fuzzy Methods." Mathematical Problems in Engineering 2018 (October 28, 2018): 1–11. http://dx.doi.org/10.1155/2018/1619623.

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Considering the diversity of demands in heterogeneous network selection problem, we combine Choquet integral with traditional aggregation operators in Pythagorean fuzzy environment, inventing kinds of new operators based on Choquet integral, including PFCOWA (as well as RP-PFOWA) operator, PFCWA operator, PFCOWG (as well as RP-PFOWG) operator, and PFCWG operator, which are capable of solving different attributes relationship prioritized situations. Then, transferring relationship and properties of the operators are further discussed. Additionally, to overcome the weakness of traditional method
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28

Zhong, Fangyuan, and Yuqian Deng. "Audit Risk Evaluation Method Based on TOPSIS and Choquet Fuzzy Integral." American Journal of Industrial and Business Management 10, no. 04 (2020): 815–23. http://dx.doi.org/10.4236/ajibm.2020.104055.

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29

Yin, Zhen, and Qi Gao. "A new decision method for service supplier selection based on Choquet integral and generalized evidence theory." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 234, no. 8 (2019): 1569–80. http://dx.doi.org/10.1177/0954406219894013.

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Service supplier selection is the most important problem in the process of service outsourcing. Aiming at the fuzziness of supplier evaluation index and subjectivity of decision-making process, a decision method for service supplier selection based on Choquet integral and generalized evidence theory is proposed. First, the fuzziness and uncertainty of information in decision-making process are solved by using interval rough number. The importance degree acquisition method of attribute index is corrected, and the relative weight and absolute weight of attribute index are obtained. Second, consi
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30

Kaino, Toshihiro, Ken Urata, Shinichi Yoshida, and Kaoru Hirota. "Improved Debt Rating Model Using Choquet Integral." Journal of Advanced Computational Intelligence and Intelligent Informatics 9, no. 6 (2005): 615–21. http://dx.doi.org/10.20965/jaciii.2005.p0615.

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Improved long-term debt rating model using Choquet integral is proposed, where the input is qualitative and quantitative data of the corporations, and the output is the Moody's long-term debt ratings. The fuzzy measure, which is given as the importance of each qualitative and quantitative data, is derived from a neural net method. Moreover, differentiation of the Choquet integral is applied to the long-term debt ratings, where this differentiation indicates how much evaluation of each specification influence to the rating of the corporation. A long-term debt rating model using Choquet integral
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31

Abdullah, Lazim, Noor Azzah Awang, and Mahmod Othman. "Application of Choquet Integral-Fuzzy Measures for Aggregating Customers’ Satisfaction." Advances in Fuzzy Systems 2021 (September 21, 2021): 1–8. http://dx.doi.org/10.1155/2021/2319004.

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Choquet integral is a type of aggregation operator that is commonly used to aggregate the interrelated information. Nowadays, this operator has been successfully embedded with fuzzy measures in solving various evaluation problems. Inspired from this new development, this paper aims to introduce a combined Choquet integral-fuzzy measures (CI-FM) operator that uses the Shapley value standard and interaction index to deal with the interactions between elements of information. The proposed operator takes into account not only the importance of elements or their ordered positions but also the inter
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32

Imaoka, Haruki. "On a Subjective Evaluation Model by a Generalized Fuzzy Integral." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 05, no. 05 (1997): 517–29. http://dx.doi.org/10.1142/s0218488597000403.

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First, a generalized fuzzy integral which encompasses Sugeno integral, Choquet integral and opposite-Sugeno integral is proposed. A more restricted fuzzy integral can be expressed by using only one parameter of Frank's t-norm. It also encompasses the three integrals. Next, the performance when the integral is adopted as a subjective evaluation model is theoretically investigated. Finally, an example of subjective evaluation test is shown and is discussed.
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33

Yasin, Yasir, Muhammad Riaz, and Kholood Alsager. "Synergy of machine learning and the Einstein Choquet integral with LOPCOW and fuzzy measures for sustainable solid waste management." AIMS Mathematics 10, no. 1 (2025): 460–98. https://doi.org/10.3934/math.2025022.

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<p>Solid waste management (SWM) protects public health, the environment, and limited resources in densely populated and urbanized countries such as Singapore. This work presents an advanced framework for optimizing SWM using advanced mathematical models and decision-making techniques, including the circular $ q $-rung orthopair fuzzy set (C$ q $-ROFS) for data, combined with the Choquet integral (CI) and logarithmic percentage change-driven objective weighting (LOPCOW) methods, enhanced by the aggregation operators (AOs) circular $ q $-rung orthopair fuzzy Einstein Choquet integral weigh
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Ji, Xiang Jun, Zan Zhang, and Fa Chao Li. "Comprehensive Evaluation Model Based on Synthetic Importance Measure." Applied Mechanics and Materials 380-384 (August 2013): 987–90. http://dx.doi.org/10.4028/www.scientific.net/amm.380-384.987.

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To solve the problem of attributes interdependence and correlation in comprehensive evaluation, the paper proposes to identify the relationships among the attributes from the decision information system based on the covering rough sets. It first shows a metric with the characteristics of fuzzy measure to measure the hidden importance of attributes, which can be seen as a reflection of the attributes correlation. Then the synthetic importance measure is given by incorporating it into the basic importance. Furthermore, the comprehensive valuation model is constructed by taking Choquet integral a
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Brosig, J., I. Traulsen, and J. Krieter. "Multicriteria Evaluation of Classical Swine Fever Control Strategies Using the Choquet Integral." Transboundary and Emerging Diseases 63, no. 1 (2014): 68–78. http://dx.doi.org/10.1111/tbed.12220.

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Cheng, Hao, and Jing Zhang. "Evaluation of the government urban and rural information based on Choquet integral." International Journal of Computer Applications in Technology 53, no. 3 (2016): 261. http://dx.doi.org/10.1504/ijcat.2016.075524.

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Hu, Yi-Chung. "Classification performance evaluation of single-layer perceptron with Choquet integral-based TOPSIS." Applied Intelligence 29, no. 3 (2007): 204–15. http://dx.doi.org/10.1007/s10489-007-0086-7.

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Cho, Sung-Bae. "Application of Choquet Integral to Efficient Aggregation of Neural Networks." Journal of Advanced Computational Intelligence and Intelligent Informatics 4, no. 1 (2000): 52–56. http://dx.doi.org/10.20965/jaciii.2000.p0052.

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This paper presents a novel application of fuzzy integral to combine multiple neural networks subjectively. The concept of combining multiple neural networks or classifiers has been largely exploited in the fields of artificial neural networks and pattern recognition. The proposed method based on Choquet integral nonlinearly combines the outputs of the networks with subjective evaluation of the reliability of the individual neural networks. Experimental results with the recognition problem of totally unconstrained handwritten numerals show that the performance of the proposed method outperform
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39

Sirbiladze, Gia, Janusz Kacprzyk, Tinatin Davitashvili, and Bidzina Midodashvili. "Associated Probabilities in Insufficient Expert Data Analysis." Mathematics 12, no. 4 (2024): 518. http://dx.doi.org/10.3390/math12040518.

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Problems of modeling uncertainty and imprecision for the analysis of insufficient expert data (IED) are considered in the environment of interactive multi-group decision-making (MGDM). Based on the Choquet finite integral, a moments’ method for the IED is developed for the evaluation of the associated probabilities class (APC) of Choquet’s second-order capacity based on the informational entropy maximum principle. Based on the IED new approach of the lower and upper Choquet’s second-order capacities, identification is developed. The second pole of insufficient expert data, the data imprecision
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MESIAR, RADKO. "k–ORDER ADDITIVE FUZZY MEASURES." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 07, no. 06 (1999): 561–68. http://dx.doi.org/10.1142/s0218488599000489.

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A generalization of k-order additive discrete fuzzy measures recently introduced by Grabisch is shown. k-order additive fuzzy measures on general spaces are introduced. Connection of the proposed generalization with the general Möbius transform of Shafer is shown. General evaluation formula for the Choquet integral is given. Further generalizations concerning the type of applied arithmetics are proposed.
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Liu, Xiaoma, Jishuai Yao, Xingju Lu, Hongwu Guo та Wenqi Wu. "Threat Evaluation of Air Targets Based on the Generalized λ-Shapley Choquet Integral of GIFSS". Aerospace 8, № 5 (2021): 144. http://dx.doi.org/10.3390/aerospace8050144.

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Fast and accurate threat evaluation (TE) of incoming air targets has a great influence on air defense. In this paper, two new generalized intuitionistic fuzzy soft set (GIFSS) methods are proposed for threat evaluation of air targets. Firstly, the threat evaluation index system is reasonably constructed by analyzing the relative kinematics between the targets and assets, apart from that between the targets and interceptors, which is more reasonable and practical. Secondly, after the threat indexes (TI) are properly obtained, two new aggregation operators for GIFSS are put forward based on the
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Nadi, S., M. Samiei, H. R. Salari та N. Karami. "A NEW MULTI-CRITERIA EVALUATION MODEL BASED ON THE COMBINATION OF NON-ADDITIVE FUZZY AHP, CHOQUET INTEGRAL AND SUGENO λ-MEASURE". ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences XLII-4/W4 (27 вересня 2017): 423–28. http://dx.doi.org/10.5194/isprs-archives-xlii-4-w4-423-2017.

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This paper proposes a new model for multi-criteria evaluation under uncertain condition. In this model we consider the interaction between criteria as one of the most challenging issues especially in the presence of uncertainty. In this case usual pairwise comparisons and weighted sum cannot be used to calculate the importance of criteria and to aggregate them. Our model is based on the combination of non-additive fuzzy linguistic preference relation AHP (FLPRAHP), Choquet integral and Sugeno λ-measure. The proposed model capture fuzzy preferences of users and fuzzy values of criteria and uses
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Et al., Sabri. "An Application of Non-additive Measures and Corresponding Integrals in Tourism Management." Baghdad Science Journal 17, no. 1 (2020): 0172. http://dx.doi.org/10.21123/bsj.2020.17.1.0172.

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Non-additive measures and corresponding integrals originally have been introduced by Choquet in 1953 (1) and independently defined by Sugeno in 1974 (2) in order to extend the classical measure by replacing the additivity property to non-additive property. An important feature of non –additive measures and fuzzy integrals is that they can represent the importance of individual information sources and interactions among them. There are many applications of non-additive measures and fuzzy integrals such as image processing, multi-criteria decision making, information fusion, classification, and
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Zhang, Fan, Yanbing Ju, Peiwu Dong, and Ernesto DR Santibanez Gonzalez. "A fuzzy evaluation and selection of construction and demolition waste utilization modes in Xi’an, China." Waste Management & Research: The Journal for a Sustainable Circular Economy 38, no. 7 (2020): 792–801. http://dx.doi.org/10.1177/0734242x20908925.

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The inadequate reuse and recycle of construction and demolition waste (C&DW) has been identified as a major issue, as it implies the depletion of natural aggregates, massive occupation of landfill and inefficiency of construction industry. However, a holistic view involving economic, technical and comprehensive dimensions has rarely been adopted for C&DW utilization evaluation against both qualitative and quantitative criteria. In this study, we propose a framework in a heterogeneous group decision-making environment to solve the C&DW utilization mode selection problem by integrati
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Liu, Kaisheng. "A New Fuzzy Joint Choquet Integral Method Under Interval-Valued Function." International Journal of Fuzzy System Applications 13, no. 1 (2023): 1–21. http://dx.doi.org/10.4018/ijfsa.334699.

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A new fuzzy group decision-making method considering multi-attributes correlation under interval-valued function is presented, which mainly includes (1) acquiring the group fuzzy preference matrix and (2) handling the interactions between multiple evaluation attributes. To do that, firstly, the fuzzy joint Choquet integral based on an interval-valued function is proposed, which not only reflects the interaction between multiple attributes in a complex and uncertain environment, but also retains the initial preference of the decision maker. Secondly, a Shapley value with fuzzy measure is applie
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GRABISCH, MICHEL, and CHRISTOPHE LABREUCHE. "HOW TO IMPROVE ACTS: AN ALTERNATIVE REPRESENTATION OF THE IMPORTANCE OF CRITERIA IN MCDM." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 09, no. 02 (2001): 145–57. http://dx.doi.org/10.1142/s0218488501000697.

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The intepretation of aggregation functions in multicriteria decision making is often based on indices such as importance indices that measure the importance of one criterion. For instance, for the Choquet integral, the importance index is the so-called Shapley value. The use of an index must always be limited to the specific context it has been designed for. Here, we are interested in determining on which criteria acts should be improved if we want their global evaluation to increase as much as possible. The Shapley value is not suited for describing this. So, we introduce a new index of impor
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Sabolovič, Mojmír. "An alternative methodological approach to value analysis of regions, municipal corporations and clusters." Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis 59, no. 4 (2011): 295–300. http://dx.doi.org/10.11118/actaun201159040295.

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The paper deals with theoretical conception of value analysis of regions, municipal corporations and clusters. The subject of this paper is heterodox approach to sensitivity analysis of finite set of variables based on non-additive measure. For dynamic analysis of trajectory of general value are sufficient robust models based on maximum entropy principle. Findings concern explanation of proper fuzzy integral – Choquet integral. The fuzzy measure is represented by theory of capacities (Choquet, 1953) on powerset. In fine, the conception of the New integral for capacities (Lehler, 2005) is discu
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Wang, Lei, Lili Rong, Fei Teng, and Peide Liu. "Teaching Performance Evaluation Based on the Proportional Hesitant Fuzzy Linguistic Prioritized Choquet Aggregation Operator." International Journal of Computational Intelligence Systems 14, no. 1 (2021): 635. http://dx.doi.org/10.2991/ijcis.d.210112.001.

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Wang, Weizhong, Xinwang Liu, Yong Qin, and Yong Fu. "A risk evaluation and prioritization method for FMEA with prospect theory and Choquet integral." Safety Science 110 (December 2018): 152–63. http://dx.doi.org/10.1016/j.ssci.2018.08.009.

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Xu, Ke, and Hua Gong. "Emergency logistics support capability evaluation model based on triangular fuzzy entropy and Choquet integral." Journal of Industrial and Production Engineering 33, no. 7 (2016): 435–42. http://dx.doi.org/10.1080/21681015.2016.1155182.

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