Academic literature on the topic 'Ranking triangular fuzzy numbers'

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Journal articles on the topic "Ranking triangular fuzzy numbers"

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Facchinetti, Gisella, Roberto Ghiselli Ricci, and Silvia Muzzioli. "Note on ranking fuzzy triangular numbers." International Journal of Intelligent Systems 13, no. 7 (July 1998): 613–22. http://dx.doi.org/10.1002/(sici)1098-111x(199807)13:7<613::aid-int2>3.0.co;2-n.

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Tang, Hui-Chin, Tien-Lin Chao, and Kuang-Hang Hsieh. "A weighted ranking function for ranking triangular fuzzy numbers." Journal of Information and Optimization Sciences 33, no. 1 (January 2012): 149–58. http://dx.doi.org/10.1080/02522667.2012.10700140.

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AKYAR, EMRAH, HANDAN AKYAR, and SERKAN ALİ DÜZCE. "A NEW METHOD FOR RANKING TRIANGULAR FUZZY NUMBERS." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 20, no. 05 (October 2012): 729–40. http://dx.doi.org/10.1142/s021848851250033x.

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The ranking and comparing of fuzzy numbers have important practical uses, such as in risk analysis problems, decision-making, optimization, forecasting, socioeconomic systems, control and certain other fuzzy application systems. Several methods for ranking fuzzy numbers have been widely-discussed though most of them have shortcomings. In this paper, we present a new method for ranking triangular fuzzy numbers based on their incenter and inradius. The proposed method is much simpler and more efficient than other methods in the literature. Some comparative examples are also given to illustrate the advantages of the proposed method.
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Liang, Changyong, Shuping Zhao, and Junling Zhang. "Aggregation Operators on Triangular Intuitionistic Fuzzy Numbers and its Application to Multi-Criteria Decision Making Problems." Foundations of Computing and Decision Sciences 39, no. 3 (July 1, 2014): 189–208. http://dx.doi.org/10.2478/fcds-2014-0011.

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Abstract The aim of this work is to present some aggregation operators with triangular intuitionistic fuzzy numbers and study their desirable properties. Firstly, the score function and the accuracy function of triangular intuitionistic fuzzy number are given, the method for ranking triangular intuitionistic fuzzy numbers are developed. Then, some geometric aggregation operators for aggregating triangular intuitionistic fuzzy numbers are developed, such as triangular intuitionistic fuzzy weighted geometric (TIFWG) operator, the triangular intuitionistic fuzzy ordered weighted geometric (TIFOWG) operator and the triangular intuitionistic fuzzy hybrid geometric (TIFHG) operator. Moreover, an application of the new approach to multi-criteria decision making method was proposed based on the geometric average operator of TIFNs, and the new ranking method for TIFNs is used to rank the alternatives. Finally, an example analysis is given to verify and demonstrate the practicality and effectiveness of the proposed method.
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John Robinson P. "Multiple Attribute Group Decision Analysis for Intuitionistic Triangular and Trapezoidal Fuzzy Numbers." International Journal of Fuzzy System Applications 5, no. 3 (July 2016): 42–76. http://dx.doi.org/10.4018/ijfsa.2016070104.

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Solving Multiple Attribute Group Decision Making (MAGDM) problems has become one of the most important researches in recent days. In situations where the information or the data is of the form of an Intuitionistic Triangular Fuzzy Number (ITrFN) or Intuitionistic Trapezoidal Fuzzy Number (ITzFN), a new distance function is defined for ranking the alternatives in the decision making process. After processing the decision information through a sequence of arithmetic aggregation operators, namely, the Intuitionistic Triangular Fuzzy Weighted Arithmetic Averaging (ITrFWAA), Intuitionistic Triangular Fuzzy Ordered Weighted Averaging (ITrFOWA) operator and the Intuitionistic Triangular Fuzzy Hybrid Aggregation (ITrFHA) operator, the proposed distance function is utilized to rank the best alternative. A model is proposed to solve MAGDM problems using the developed distance formula defined for ITrFNs. Numerical illustration is provided and comparisons are made with some of the existing MAGDM models and ranking procedures.
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Atalik, Gultekin, and Sevil Senturk. "A noval ranking approach based on incircle of triangular intuitionistic fuzzy numbers." Journal of Intelligent & Fuzzy Systems 39, no. 5 (November 19, 2020): 6271–78. http://dx.doi.org/10.3233/jifs-189095.

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Since proposed by Zadeh in 1965, ordinary fuzzy sets help us to model uncertainty and developed many types such as type 2 fuzzy, intuitionistic fuzzy, hesitant fuzzy etc. Intuitionistic fuzzy sets include both membership and non-membership functions for their each element. Ranking of a number is to identify a relationship of scalar quantity between these numbers. Ranking of fuzzy numbers play an important role in modeling problems such as fuzzy decision making, fuzzy linear programming problems. In this study, a new ranking method for triangular intuitionistic fuzzy numbers is proposed. The method based on the incircle of the membership function and non-membership function of TIFN uses lexicographical order to rank intuitionistic fuzzy numbers. Two examples are provided to illustrate the applicability of the method. Also, a comparative study is performed to demonstrate the validity of the proposed method. The results indicate that proposed method is consistent with other methods in the literature. Also, the method overcomes the problems such as numbers being very small or close to each other.
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Mohammed Ramadan, Ayad. "Ranking of Fuzzy Numbers by using Scaling Method." passer 3, no. 2 (2019): 137–43. http://dx.doi.org/10.24271/psr.24.

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In this paper, we presented for the first time a multidimensional scaling approach to find the scaling as well as the ranking of triangular fuzzy numbers. Each fuzzy number was represented by a row in a matrix, and then found the configuration points (scale points) which represent the fuzzy numbers in . Since these points are not uniquely determined, then we presented different techniques to reconfigure the points to compare them with other methods. The results showed the ability of ranking fuzzy numbers
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Akyar, Handan. "Fuzzy Risk Analysis for a Production System Based on the Nagel Point of a Triangle." Mathematical Problems in Engineering 2016 (2016): 1–9. http://dx.doi.org/10.1155/2016/3080679.

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Ordering and ranking fuzzy numbers and their comparisons play a significant role in decision-making problems such as social and economic systems, forecasting, optimization, and risk analysis problems. In this paper, a new method for ordering triangular fuzzy numbers using the Nagel point of a triangle is presented. With the aid of the proposed method, reasonable properties of ordering fuzzy numbers are verified. Certain comparative examples are given to illustrate the advantages of the new method. Many papers have been devoted to studies on fuzzy ranking methods, but some of these studies have certain shortcomings. The proposed method overcomes the drawbacks of the existing methods in the literature. The suggested method can order triangular fuzzy numbers as well as crisp numbers and fuzzy numbers with the same centroid point. An application to the fuzzy risk analysis problem is given, based on the suggested ordering approach.
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Rao, P. Phani Bushan, and N. Ravi Shankar. "Ranking Fuzzy Numbers with a Distance Method using Circumcenter of Centroids and an Index of Modality." Advances in Fuzzy Systems 2011 (2011): 1–7. http://dx.doi.org/10.1155/2011/178308.

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Ranking fuzzy numbers are an important aspect of decision making in a fuzzy environment. Since their inception in 1965, many authors have proposed different methods for ranking fuzzy numbers. However, there is no method which gives a satisfactory result to all situations. Most of the methods proposed so far are nondiscriminating and counterintuitive. This paper proposes a new method for ranking fuzzy numbers based on the Circumcenter of Centroids and uses an index of optimism to reflect the decision maker's optimistic attitude and also an index of modality that represents the neutrality of the decision maker. This method ranks various types of fuzzy numbers which include normal, generalized trapezoidal, and triangular fuzzy numbers along with crisp numbers with the particularity that crisp numbers are to be considered particular cases of fuzzy numbers.
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Nguyen, Thanh-Lam. "Methods in Ranking Fuzzy Numbers: A Unified Index and Comparative Reviews." Complexity 2017 (2017): 1–13. http://dx.doi.org/10.1155/2017/3083745.

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Fuzzy set theory, extensively applied in abundant disciplines, has been recognized as a plausible tool in dealing with uncertain and vague information due to its prowess in mathematically manipulating the knowledge of imprecision. In fuzzy-data comparisons, exploring the general ranking measure that is capable of consistently differentiating the magnitude of fuzzy numbers has widely captivated academics’ attention. To date, numerous indices have been established; however, counterintuition, less discrimination, and/or inconsistency on their fuzzy-number rating outcomes have prohibited their comprehensive implementation. To ameliorate their manifested ranking weaknesses, this paper proposes a unified index that multiplies weighted-mean and weighted-area discriminatory components of a fuzzy number, respectively, called centroid value and attitude-incorporated left-and-right area. From theoretical proof of consistency property and comparative studies for triangular, triangular-and-trapezoidal mixed, and nonlinear fuzzy numbers, the unified index demonstrates conspicuous ranking gains in terms of intuition support, consistency, reliability, and computational simplicity capability. More importantly, the unified index possesses the consistency property for ranking fuzzy numbers and their images as well as for symmetric fuzzy numbers with an identical altitude which is a rather critical property for accurate matching and/or retrieval of information in the field of computer vision and image pattern recognition.
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Dissertations / Theses on the topic "Ranking triangular fuzzy numbers"

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Junior, Lucelindo Dias Ferreira. "Sistema de Engenharia Kansei para apoiar a descrição da visão do produto no contexto do Gerenciamento Ágil de Projetos de produtos manufaturados." Universidade de São Paulo, 2012. http://www.teses.usp.br/teses/disponiveis/18/18156/tde-09032012-141046/.

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O Gerenciamento Ágil de Projetos é uma abordagem útil para projetos com alto grau de complexidade e incerteza. Duas de suas características são: o envolvimento do consumidor nas tomadas de decisão sobre o projeto do produto; e, o uso de uma visão do produto, artefato que representa e comunica as características prioritárias e fundamentais do produto a ser desenvolvido. Há métodos para apoiar a criação da visão do produto, mas eles apresentam deficiências em operacionalizar o envolvimento do consumidor final. Por outro lado, existe a Engenharia Kansei, uma metodologia que permite capturar as necessidades de um grande número de consumidores e relacioná-las a características do produto. Este trabalho apresenta um estudo aprofundado da metodologia da Engenharia Kansei e analisa como essa pode ser útil para apoiar a descrição da visão do produto, no contexto do Gerenciamento Ágil de Projetos de produtos manufaturados. Em seguida, para verificar essa proposição, apresenta o desenvolvimento de um Sistema de Engenharia Kansei baseado na Teoria de Quantificação Tipo I, Aritmética Fuzzy, e Algoritmos Genéticos, testado para o projeto de uma caneta voltada a alunos de pós-graduação. Para execução do projeto foi utilizado um conjunto de métodos e procedimentos, tais como: revisão bibliográfica sistemática; desenvolvimento matemático; desenvolvimento computacional; e, estudo de caso. Analisa-se o Sistema de Engenharia Kansei proposto, e os resultados no caso aplicado, para averiguar seu potencial. Indica evidencias que o Sistema de Engenharia Kansei é capaz de gerar requisitos sobre configurações de produtos segundo a perspectiva do consumidor potencial, e que essas configurações são úteis para a formulação da visão do produto e na evolução desta visão no decorrer do projeto de produto.
The Agile Project Management is a useful approach for projects with high degree of complexity and uncertainty. Two of its singularities are: costumer involvement in decision making about the product design; and the use of a product vision, an artifact that represents and communicates the fundamental and high-priority features of the product to be developed. There are methods to support the creation of the product vision, but they have shortcomings in operationalizing the costumer involvement. On the other hand, there is the Kansei Engineering, a methodology to capture the needs of a large number of consumers and correlate them to product features. This paper presents a detailed study of the Kansei Engineering methodology and analyzes how this can be useful to support the description of the product vision, in the context of Agile Project Management of manufactured products. Then, to verify this proposition, it presents the development of a Kansei Engineering System based on Quantification Theory Type I, Fuzzy Arithmetic and Genetic Algorithms, tested for the design of a pen aimed at graduate students. To implement the project we used a set of methods and procedures, such as systematic literature review, mathematical development, computational development, and case study. It analyzes the proposed Kansei Engineering System and the results in the case study applied, to ascertain their potential. Evidence indicates that Kansei Engineering System is capable of generating requirements on product configurations from the perspective of the potential consumer, and that these configurations are useful for the description of the product vision and for the progression of this vision during the project of the product.
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Abu, Bakar Ahmad Syafadhli Bin. "Intuition based decision making methodology for ranking fuzzy numbers using centroid point and spread." Thesis, University of Portsmouth, 2015. https://researchportal.port.ac.uk/portal/en/theses/intuition-based-decision-making-methodology-for-ranking-fuzzy-numbers-using-centroid-point-and-spread(1d65a416-9804-4255-a597-2ebdf71d0fc4).html.

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The concept of ranking fuzzy numbers has received significant attention from the research community due to its successful applications for decision making. It complements the decision maker exercise their subjective judgments under situations that are vague, imprecise, ambiguous and uncertain in nature. The literature on ranking fuzzy numbers show that numerous ranking methods for fuzzy numbers are established where all of them aim to correctly rank all sets of fuzzy numbers that mimic real decision situations such that the ranking results are consistent with human intuition. Nevertheless, fuzzy numbers are not easy to rank as they are represented by possibility distribution, which indicates that they possibly overlap with each other, having different shapes and being distinctive in nature. Most established ranking methods are capable to rank fuzzy numbers with correct ranking order such that the results are consistent with human intuition but there are certain circumstances where the ranking methods are particularly limited in ranking non – normal fuzzy numbers, non – overlapping fuzzy numbers and fuzzy numbers of different spreads. As overcoming these limitations is important, this study develops an intuition based decision methodology for ranking fuzzy numbers using centroid point and spread approaches. The methodology consists of ranking method for type – I fuzzy numbers, type – II fuzzy numbers and Z – numbers where all of them are theoretically and empirically validated. Theoretical validation highlights the capability of the ranking methodology to satisfy all established theoretical properties of ranking fuzzy quantities. On contrary, the empirical validation examines consistency and efficiency of the ranking methodology on ranking fuzzy numbers correctly such that the results are consistent with human intuition and can rank more than two fuzzy numbers simultaneously. Results obtained in this study justify that the ranking methodology not only fulfills all established theoretical properties but also ranks consistently and efficiently the fuzzy numbers. The ranking methodology is implemented to three related established case studies found in the literature of fuzzy sets where the methodology produces consistent and efficient results on all case studies examined. Therefore, based on evidence illustrated in this study, the ranking methodology serves as a generic decision making procedure, especially when fuzzy numbers are involved in the decision process.
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Pla, Ferrando Mª Leonor. "Modelos flexibles para la valoración de la eficiencia." Doctoral thesis, Universitat Politècnica de València, 2013. http://hdl.handle.net/10251/31521.

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El objetivo en esta Memoría ha sido el análisis de eficiencia de un determinado sector empresarial, teniendo en cuenta dos problemas casi siempre presentes, y de naturaleza muy diferente, por una parte, que los datos que se manejan pueden ser imprecisos y, por tanto, afectar al resultado de cualquier estudio de eficiencia y, por otra parte, el deseo de ordenar las empresas (Unidades De Toma de Decisión) atendiendo a la medición de su eficiencia. Para la medición de la eficiencia se ha recurrido a la metodología no paramétrica del Análisis Envolvente de datos (DEA) aplicandola a empresas del sector textil muy cercanas a nosotros. Ahora bien, dado que consideramos que siempre existe alguna incertidumbre o un posible error en la medición de algunos datos (inputs y outputs), introducimos la limitación de la certeza con el tratamiento fuzzy de los datos, métodos que no requieren conocer ni aplicar hipótesis sobre distribuciones de probabilidad de esos datos, que dicho sea de paso, podría no ser fáctible bajo determinados supuestos de incertidumbre. Pero además de la medir la eficiencia pretendemos proporcionar más información que la mera separación dicotómica entre empresas eficientes o no eficientes. Para ello desarrollamos y aplicamos los modelos de super-efficiencyfuzzy y cross-efficiency-fuzzy, que nos permiten establecer una ordenación bajo incertidumbre. Con este trabajo hemos realizado un estudio amplio de la eficiencia bajo incertidumbre. Se observa que los resultados obtenidos aplicando los distintos métodos son similares. Además, estos métodos proporcionan más información sobre las unidades estudiadas que las que proporciona un solo índice de eficiencia. Estos métodos pueden ser aplicables a otros tipos de empresas, aportando nueva información que puede ayudar u orientar en la toma de decisiones de sus gestores
Pla Ferrando, ML. (2013). Modelos flexibles para la valoración de la eficiencia [Tesis doctoral no publicada]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/31521
TESIS
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Linares, Mustarós Salvador. "Incorporació de la lògica borrosa en l'estudi de la viabilitat dels nous projectes empresarials." Doctoral thesis, Universitat de Girona, 2015. http://hdl.handle.net/10803/290168.

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La predicció de despeses, vendes o cobraments en l’àmbit de l’emprenedoria planteja la dificultat afegida de treballar amb dades extremadament incertes. Aquest fet ocasiona que la previsió de tresoreria o la previsió de pèrdues i guanys tingui associada un alt grau d’indeterminació. La lògica borrosa propicia la creació de nous models de prognosi que afavoreixen que l’emprenedor obtingui una visió de futur més àmplia. El nucli del treball doctoral està format per tres articles que presenten una proposta completa de solució a problemes actuals i reals de la predicció emprenedora centrats en potenciar la utilització de la lògica borrosa a nivell pràctic. Tanmateix, cada article desenvolupa un recurs informàtic d’implementació de cadascuna de les tècniques per tal de facilitar, en el cas que sigui possible, la seva incorporació a la praxi emprenedora.
The prediction of costs, sales and payments in the field of entrepreneurship presents the added difficulty of working with extremely uncertain data. This means that the estimate of “cash flow forecasting” and the “income statement” contains a high degree of indetermination. The fuzzy logic promotes the creation of new prognostic models that allow the entrepreneur to gain a broader vision. The core of the doctoral thesis is formed by three papers in which everyone presents a full proposal for a solution to real and current problems of prediction focused on promoting the use of fuzzy logic in entrepreneurial practice. Additionally, each paper develops a computer resource implementation of each technique in order to facilitate, if possible, its joining of the entrepreneurial practice.
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黃聖芫. "The comparison of gaussian fuzzy numbers and triangular fuzzy analysis." Thesis, 2003. http://ndltd.ncl.edu.tw/handle/75157544660722738259.

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Chiu, Ching-Ju, and 邱靜如. "A new approach for ranking fuzzy numbers." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/76214517111849441879.

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碩士
國立臺南大學
應用數學系碩士班
102
In many fuzzy decision problems, ranking fuzzy numbers is an important procedure. Because of the imperfection and fuzziness of thinking, we need a method to compare fuzzy numbers. So far, a great deal of research has been obtained. Some of them use the centroid point of fuzzy numbers as an index to rank the fuzzy numbers. Having reviewed the previous researches, we found that almost each of them tried to use a formula to rank the fuzzy numbers. However, most of them hardly can rank with intuition consistently in all cases. Therefore, a new method of ranking fuzzy numbers is proposed and compensates for these shortcomings. The new method uses three indices , vi and Si to differentiate between fuzzy numbers. Each indicator has a different significance. Primary consideration is the index which is the x-coordinate of centroid of the fuzzy number. It means representative location of fuzzy number A. To distinguish between the two fuzzy numbers have the same centroid, we use the second index vi . The index vi which means the place that the largest membership function grade happened. When the two fuzzy numbers have the same , we let if . Finally, when the two have the same and vi, we use the third indicator Si which means the remainder area. We let if , otherwise, . In the end, we used a more effective and convenient way to demonstrate a few examples.
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Lu, Hai-Wen, and 陸海文. "A Study of Fuzzy Numbers Ranking Methods." Thesis, 2001. http://ndltd.ncl.edu.tw/handle/09294615240837080277.

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博士
國立成功大學
工業管理學系
89
Decision makers usually perform imprecise evaluations for a set of alternatives in an uncertain environment, because of the lack of precise information, such as unquantifiable information, incomplete information, nonobtainable information and partial ignorance. To resolve this problem, fuzzy set theory has been extensively used. Fuzzy numbers are applied to represent the imprecise measurements of different alternatives. This leads that the evaluations of a set of alternatives are actually the ranking of the aggregated fuzzy numbers. The ranking process leads to determine a decision-maker’s preference order of fuzzy numbers. Adopting the concept of alpha-cut, this research specifically develops three ranking methods, namely the total dominance index, the weighted belief measurement index and Integrated Signal/Noise (S/N) index. The total dominance index is defined as the function of the number of alpha-cuts, the index of optimism and the left and right spreads at some alpha — cuts of fuzzy numbers, while the weighted belief measurement index includes the elements in the total dominance index and the weighted average on the basis of alpha—cuts. In addition, the Integrated Signal/Noise index incorporates the signal/noise (S/N) ratio into the weighted belief measurement index. The proposed three ranking methods are simple and efficient in terms of the calculations and comparisons. Unlike the existing integral approaches and area measurements, in the proposed approaches membership functions are not necessary to be known in advance. Only several alpha-cuts are needed for obtaining the index value. In addition, the proposed methods also can be used for ranking nonlinear fuzzy numbers, discrete fuzzy numbers and a pure number.
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Chen, Chia-Wei, and 陳佳韋. "A Study on Symmetric Triangular Appoximations of Fuzzy Numbers." Thesis, 2015. http://ndltd.ncl.edu.tw/handle/45797773936317653100.

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碩士
國立臺南大學
應用數學系碩士班
103
Recently, many problems of finding the nearest triangular approximation of a fuzzy number had been solved. The symmetric triangular approximations preserving one condition were done, too. In this paper, we use the Karush-Kuhn-Tucker theorem to find the symmetric triangular approximations of fuzzy numbers preserving the width (the ambiguity) (the value). Finally, we illustrate our method by some examples.
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Lin, Chung-Yi, and 林忠毅. "Symmetric Triangular Approximations of Fuzzy Numbers Preserving One Linear Operator." Thesis, 2016. http://ndltd.ncl.edu.tw/handle/29566646698090995317.

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碩士
國立臺南大學
應用數學系碩士班
104
Recently, many scholars studied approximations of fuzzy numbers by specific fuzzy num- bers under preservation of some operators. In fact, these approximations may not exist for some linear operators. In order to study necessary and sufficient conditions of linear operators which are preserved by interval, triangular, symmetric triangular, trapezoidal, or symmetric trapezoidal approximations of fuzzy numbers, an effective method for solving such problems is proposed. In this paper, we will propose a formula for computing symmetric triangular approximation of any fuzzy number preserving a given linear operator.
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CHI, HA THI XUAN, and HA THI XUAN CHI. "IMPROVED APPROACHES FOR RANKING GENERALIZED FUZZY NUMBERS AND FUZZY MUTIL-CRITERIA DECISION MAKING." Thesis, 2014. http://ndltd.ncl.edu.tw/handle/5qfyy3.

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博士
國立臺灣科技大學
工業管理系
102
Ranking fuzzy numbers, a significant component in decision making process, supports a decision maker in selecting the optimal solution. Althoung there are many existing ranking methods for fuzzy numbers, most of them suffer from some shortcomings. To overcome these shortcomings, this study proposes a new ranking approach for both normal and generalized fuzzy numbers that ensures full consideration of all information of fuzzy numbers. The proposed approach integrates the concept of centroid point, the left and the right (LR) areas between fuzzy numbers, height of a fuzzy number and the degree of decision maker’s optimism. Several numerical examples are presented to illustrate the efficiency and superiority of the proposed. To reduce uncertainty in decision making and avoid loss of information, this study also proposed a new fuzzy multi-criteria decision making (MCDM) approach based on the proposed ranking method for generalized fuzzy numbers. The applicability of the proposed fuzzy MCMD model is illustrated through a case study.
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Books on the topic "Ranking triangular fuzzy numbers"

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Li, Deng-Feng. Linear Programming Models and Methods of Matrix Games with Payoffs of Triangular Fuzzy Numbers. Berlin, Heidelberg: Springer Berlin Heidelberg, 2016. http://dx.doi.org/10.1007/978-3-662-48476-0.

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Li, Deng-Feng. Linear Programming Models and Methods of Matrix Games with Payoffs of Triangular Fuzzy Numbers. Springer, 2015.

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Li, Deng-Feng. Linear Programming Models and Methods of Matrix Games with Payoffs of Triangular Fuzzy Numbers. Springer, 2016.

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Book chapters on the topic "Ranking triangular fuzzy numbers"

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Boulmakoul, Azedine, Mohamed Haitam Laarabi, Roberto Sacile, and Emmanuel Garbolino. "Ranking Triangular Fuzzy Numbers Using Fuzzy Set Inclusion Index." In Fuzzy Logic and Applications, 100–108. Cham: Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-03200-9_11.

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Bahri, Oumayma, Nahla Ben Amor, and Talbi El-Ghazali. "New Pareto Approach for Ranking Triangular Fuzzy Numbers." In Information Processing and Management of Uncertainty in Knowledge-Based Systems, 264–73. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-08855-6_27.

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Atalik, Gultekin, and Sevil Senturk. "A New Ranking Method for Triangular Intuitionistic Fuzzy Numbers." In Intelligent and Fuzzy Techniques in Big Data Analytics and Decision Making, 33–38. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-23756-1_6.

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Ban, Adrian I., and Lucian Coroianu. "Characterization of the Ranking Indices of Triangular Fuzzy Numbers." In Information Processing and Management of Uncertainty in Knowledge-Based Systems, 254–63. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-08855-6_26.

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Gong, Zaiwu, Yi Lin, and Tianxiang Yao. "Complementary Preference Relations of Triangular Fuzzy Numbers." In Uncertain Fuzzy Preference Relations and Their Applications, 45–74. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-28448-9_4.

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Abreu, Marieta Peña, Carlos R. Rodríguez Rodríguez, Roberto García Vacacela, and Pedro Y. Piñero Pérez. "Economic Feasibility of Projects Using Triangular Fuzzy Numbers." In Progress in Artificial Intelligence and Pattern Recognition, 288–98. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-01132-1_33.

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Li, Deng-Feng. "Matrix Games with Payoffs of Triangular Fuzzy Numbers." In Linear Programming Models and Methods of Matrix Games with Payoffs of Triangular Fuzzy Numbers, 65–120. Berlin, Heidelberg: Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-48476-0_2.

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Wang, Xuzhu, and Da Ruan. "On Transitivity of Fuzzy Preference Relations in Ranking Fuzzy Numbers." In International Series in Intelligent Technologies, 155–73. Boston, MA: Springer US, 1995. http://dx.doi.org/10.1007/978-1-4615-2357-4_6.

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Roubens, Marc, and Philippe Vincke. "Fuzzy Possibility Graphs and Their Application to Ranking Fuzzy Numbers." In Lecture Notes in Economics and Mathematical Systems, 119–28. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-642-51711-2_9.

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Dutta, Palash. "A Straightforward Advanced Ranking Approach of Fuzzy Numbers." In Smart Intelligent Computing and Applications, 475–83. Singapore: Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-9282-5_45.

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Conference papers on the topic "Ranking triangular fuzzy numbers"

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Javanmard, M., and H. Mishmast Nehi. "Interval type-2 triangular fuzzy numbers; new ranking method and evaluation of some reasonable properties on it." In 2017 5th Iranian Joint Congress on Fuzzy and Intelligent Systems (CFIS). IEEE, 2017. http://dx.doi.org/10.1109/cfis.2017.8003587.

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Rezvani, Salim, and Xizhao Wang. "A New Type-2 Intuitionistic Exponential Triangular Fuzzy Number and Its Ranking Method with Centroid Concept and Euclidean Distance." In 2018 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). IEEE, 2018. http://dx.doi.org/10.1109/fuzz-ieee.2018.8491685.

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He, Qiang, Cong-Xin Wu, and Eric C. C. Tsang. "Fuzzy SVM Based on Triangular Fuzzy Numbers." In 2007 International Conference on Machine Learning and Cybernetics. IEEE, 2007. http://dx.doi.org/10.1109/icmlc.2007.4370633.

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Gomathi Nayagam, V. Lakshmana, G. Venkateshwari, and Geetha Sivaraman. "Ranking of intuitionistic fuzzy numbers." In 2008 IEEE 16th International Conference on Fuzzy Systems (FUZZ-IEEE). IEEE, 2008. http://dx.doi.org/10.1109/fuzzy.2008.4630639.

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Xinyuan Liang. "Causality Diagram using Triangular Fuzzy Numbers." In 2006 6th World Congress on Intelligent Control and Automation. IEEE, 2006. http://dx.doi.org/10.1109/wcica.2006.1712812.

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Qiang, Zhang, Hu JunHua, Liu An, Chen GuoMing, and Yan QiMin. "New ranking methods of intuitionistic fuzzy numbers and Pythagorean fuzzy numbers." In 2020 Chinese Control And Decision Conference (CCDC). IEEE, 2020. http://dx.doi.org/10.1109/ccdc49329.2020.9164633.

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Hanif, Harliza Mohd, Daud Mohamad, and Nor Hashimah Sulaiman. "Spread factor in ranking fuzzy numbers." In 2011 Eighth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2011). IEEE, 2011. http://dx.doi.org/10.1109/fskd.2011.6019536.

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Ban, Adrian I., and Lucian Coroianu. "Ranking of L-R fuzzy numbers." In 2015 Annual Conference of the North American Fuzzy Information Processing Society (NAFIPS) held jointly with 2015 5th World Conference on Soft Computing (WConSC). IEEE, 2015. http://dx.doi.org/10.1109/nafips-wconsc.2015.7284130.

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De, P. K., and Debaroti Das. "Ranking of trapezoidal intuitionistic fuzzy numbers." In 2012 12th International Conference on Intelligent Systems Design and Applications (ISDA). IEEE, 2012. http://dx.doi.org/10.1109/isda.2012.6416534.

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Fan-Hui Zeng and Jun Cao. "New method for ranking fuzzy numbers." In 2010 2nd International Conference on Information Science and Engineering (ICISE). IEEE, 2010. http://dx.doi.org/10.1109/icise.2010.5690563.

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