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Fuzzy Coefficients and Fuzzy Preference Relations in Models of Decision Making [chapter]

Petr Ekel, Efim Galperin, Reinaldo Palhares, Claudio Campos, Marina Silva
2003 Lecture Notes in Computer Science  
Three techniques for processing of fuzzy preference relations reflecting criteria of quantitative as well as qualitative character are discussed.  ...  Analysis of X, R models is considered as part of a general approach to solving optimization problems with fuzzy coefficients.  ...  Among them, the construction of fuzzy preference relations for pairwise comparisons is considered in [5] as the most practical and justified way.  ... 
doi:10.1007/978-3-540-45224-9_33 fatcat:egopbgrdpzebjjy4j45h3fflwe

Grey Relational Analysis Method for Intuitionistic Fuzzy Multiple Attribute Decision Making with Preference Information on Alternatives

Guiwu Wei, H.J. Wang, Rin Lin, Xiaofei Zhao
2011 International Journal of Computational Intelligence Systems  
The aim of this paper is to investigate intuitionistic fuzzy multiple attribute decision making problems with preference information on alternatives, in which the information on attribute weights is completely  ...  Furthermore, we shall extend the developed models and procedures to solve the interval-valued intuitionistic fuzzy multiple attribute decision making problems with preference information on alternatives  ...  Acknowledgment The author is very grateful to the editor and the anonymous referees for their insightful and constructive comments and suggestions, which have been very helpful in improving the paper.  ... 
doi:10.1080/18756891.2011.9727773 fatcat:7hui7jr4g5c33otuqfyoxbpwdi

Grey Relational Analysis Method for Intuitionistic Fuzzy Multiple Attribute Decision Making with Preference Information on Alternatives

Guiwu Wei, Hongjun Wang, Rin Lin, Xiaofei Zhao
2011 International Journal of Computational Intelligence Systems  
The aim of this paper is to investigate intuitionistic fuzzy multiple attribute decision making problems with preference information on alternatives, in which the information on attribute weights is completely  ...  Furthermore, we shall extend the developed models and procedures to solve the interval-valued intuitionistic fuzzy multiple attribute decision making problems with preference information on alternatives  ...  Acknowledgment The author is very grateful to the editor and the anonymous referees for their insightful and constructive comments and suggestions, which have been very helpful in improving the paper.  ... 
doi:10.2991/ijcis.2011.4.2.5 fatcat:df7vkbqr4nharajreu4fsnrqxy

Supporting Consumer Decision by Fuzzy Revealed Preference in Online Sales

Irina Georgescu, Xuemei Qiu, Ranran Lin
2007 European Society for Fuzzy Logic and Technology  
The mathematical basis of the model is the revealed preference theory for fuzzy choice functions.  ...  By interpreting the vectors that contain certain information as criteria for the customer in decision-making and by combining it with the certain information existing in the model, an optimal suggestion  ...  The purpose of this work is to model a decision-making problem by concepts and results of revealed preference theory for fuzzy choice functions.  ... 
dblp:conf/eusflat/GeorgescuQL07 fatcat:eio2mauouzgjjeifzkvumcd2rm

A Distance Model of Intuitionistic Fuzzy Cross Entropy to Solve Preference Problem on Alternatives

Mei Li, Chong Wu
2016 Mathematical Problems in Engineering  
This paper constructs a mathematical optimization model of maximizing the synthesis grey correlation coefficient between decision-making evaluation values and decision-makers' subjective preference values  ...  In the field of decision-making, for the multiple attribute decision-making problem with the partially unknown attribute weights, the evaluation information in the form of the intuitionistic fuzzy numbers  ...  Xu and Chen [17, 18] studied the decisionmaking methods of the interval fuzzy preference relation, the interval utility value, and the interval multiplicative preference relation.  ... 
doi:10.1155/2016/8324124 fatcat:wfxyfw2jofgdnoufephufwea6u

Extensions of the multicriteria analysis with pairwise comparison under a fuzzy environment

Ming-Shin Kuo, Gin-Shuh Liang, Wen-Chih Huang
2006 International Journal of Approximate Reasoning  
Multicriteria decision-making (MCDM) problems often involve a complex decision process in which multiple requirements and fuzzy conditions have to be taken into consideration simultaneously.  ...  The existing approaches for solving this problem in a fuzzy environment are complex. Combining the concepts of grey relation and pairwise comparison, a new fuzzy MCDM method is proposed.  ...  Acknowledgement The authors would like to thank anonymous reviewers for their comments on an earlier version of this paper.  ... 
doi:10.1016/j.ijar.2006.04.006 fatcat:fr34uihzffdqdhdbwb52rtlrtm

Study on the Development of Decision Making Using Intuitionistic Fuzzy Set (IFS) and Interval Valued Intuitionistic Fuzzy Set (IVIFS)

Yasir Ahmad
2013 IOSR Journal of Engineering  
One the promising role of IFS has been emerged in Decision making problems specially group decision making and multi-attribute decision making.  ...  In this paper we reviewed the development of different approaches for solving decision making problem using IFS theory and a brief introduction on the role of Interval Valued IF sets (IVIFS) [5] in multiattribute  ...  Zeshui Xu [28] also worked on Intuitionistic preference relations and their application in group decision making.  ... 
doi:10.9790/3021-03443442 fatcat:mw3h4mxe2nfflfk2kub6424cxy

Fuzzy preference modeling and its application to multiobjective decision making

P.Ya. Ekel, M.R. Silva, F. Schuffner Neto, R.M. Palhares
2006 Computers and Mathematics with Applications  
Three techniques for fuzzy preference modeling are discussed in the paper.  ...  The subsequent contraction of the decision uncertainty region is based on reducing the problem to models of multiobjective choosing alternatives in a fuzzy environment with the use of fdzzy preference  ...  In (18) , Rp (also called a nonstrict fuzzy preference relation, fuzzy binary preference relation, fuzzy weak preference relation, and fuzzy binary relation in literature) is defined as a fuzzy set of  ... 
doi:10.1016/j.camwa.2006.08.012 fatcat:ptof53dcfzftfdvxejbwsygc44

Overview on the Developments and Applications of Hesitant Fuzzy Sets: An Uncertain Decision Making Tool

Bin Zhu, Zeshui Xu
2016 Journal of Risk Analysis and Crisis Response (JRACR)  
This paper reviews the main relevant papers, which are published in international academic journals from 2010 to 2016, relating to the interpretations, modellings, and applications of hesitant fuzzy sets  ...  Recently, hesitant fuzzy sets perform as an emerging tool in decision making under uncertainty.  ...  linguistic preference relation (HFLPR) as a basic decision making tool under hesitant fuzzy linguistic environment.  ... 
doi:10.2991/jrarc.2016.6.2.2 fatcat:35ql55mkdffszoj3bk2aj7ghpe

Optimistic Stackelberg solutions to bilevel linear programming with fuzzy random variable coefficients

Aihong Ren, Yuping Wang
2014 Knowledge-Based Systems  
In this paper, we consider a kind of bilevel linear programming problem where the coefficients of both objective functions are fuzzy random variables.  ...  To minimize the interval objective functions, the order relations which represent the decision maker's preference are defined by the right limit and the center of random interval simultaneously.  ...  The order relations which represent the decision maker's preference are introduced by the right limit and the center of random interval simultaneously.  ... 
doi:10.1016/j.knosys.2014.05.010 fatcat:uvbh7rg4mrfmhnyp5wy6lo4jtm

An exponential-related function for decision-making in engineering and management

Daniel O. Aikhuele, Faiz Mohd Turan
2017 Open Engineering  
AbstractAn intuitionistic fuzzy TOPSIS model, which is based on an exponential-related function (IF-TOPSIS) and a fuzzy entropy method, has been proposed in this study.  ...  Serves, as a computational tool for measuring the separation distance of decision alternatives from the intuitionistic fuzzy positive and negative ideal solution to determine the relative closeness coefficient  ...  Table 5 shows that the result is totally in agreement with the result in [21] . This proves the effectiveness and feasibility of the proposed model at handling uncertainty and for decision-making.  ... 
doi:10.1515/eng-2017-0022 fatcat:ixpgrrtq3rdelnf4z27lktayui

MULTI-ATTRIBUTE GROUP DECISION MAKING BASED ON HESITANT FUZZY SETS, TOPSIS METHOD AND FUZZY PREFERENCE RELATIONS

Jibin Lan, Mian Yang, Mingming Hu, Fang Liu
2018 Technological and Economic Development of Economy  
Hesitant fuzzy sets (HFSs) are widely applied in pattern recognition, classification, clustering, and multiple attribute decision making.  ...  In order to solve these problems, by employing a distance measure and the TOPSIS method, we propose a new order relation extraction method based on a new additive consistency fuzzy preference relation  ...  Acknowledgements This work is supported by the National Natural Science Foundation of China (Grant No. 71761001, 71761002, 71261001) and Guangxi high school innovation team and outstanding scholars plan  ... 
doi:10.3846/tede.2018.6768 fatcat:w4vcdyrwcregdczylay4manit4

A New Model for Deriving the Priority Weights from Hesitant Triangular Fuzzy Preference Relations

Yuan Liu, Gongtian Shen, Zhangyan Zhao, Zhanwen Wu
2019 Mathematical Problems in Engineering  
Fuzzy preference relation is a common tool to express the uncertain preference information of decision maker in the process of decision making.  ...  relation, and hesitant fuzzy preference relation.  ...  Conflicts of Interest The authors declare that there are no conflicts of interest regarding the publication of this paper. Acknowledgments  ... 
doi:10.1155/2019/8586592 fatcat:d2b7fthgrraxdp3iuocf2mrksy

A study on the Role of Intuitionistic Fuzzy Set in Decision making problems

Sadia Husain, Yasir Ahmad, M. Afshar Alam
2012 International Journal of Computer Applications  
One the promising role of IFS has been emerged in Decision making Problems.  ...  In this paper we reviewed the development of different approaches for solving decision making problem using IFS theory. Keywords Intuitionistic fuzzy sets (IFS), Multicriteria Decision Making (MCDM).  ...  Zeshui Xu [35] also worked on Intuitionistic preference relations and their application in group decision making.  ... 
doi:10.5120/7458-0501 fatcat:eekjqe6oxngc5puczyqz5pkwry

Grey Relational Bidirectional Projection Method for Multicriteria Decision Making with Hesitant Intuitionistic Fuzzy Linguistic Information

Yuqi Zang, Xiaodong Zhao, Shiyong Li, Adnan Nazir
2018 Mathematical Problems in Engineering  
We investigate a novel approach for multicriteria decision making (MCDM) with hesitant intuitionistic fuzzy linguistic information.  ...  After that, we propose the grey relational bidirectional projection method based on the proposed comparison method and distance measures of IVHFLNs for dealing with MCDM problems.  ...  Acknowledgments The authors would like to acknowledge the support from the National Natural Science Foundation of China (nos. 71671159 and 71301139), the Natural Science Foundation of Hebei Province (nos  ... 
doi:10.1155/2018/5691905 fatcat:nntqhwm55vhn5nmffrnq3up7jy
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