Fuzzy Preference Relations in Group Decision Making

This paper surveys how fuzzy preference relations are utilized in group decision making. First, several fundamental properties of fuzzy preference relations are reviewed. Secondly, some procedures for deriving a solution (group choice) from individual fuzzy preference relations are discussed. They can be divided into two classes: direct approach and indirect approach. Finally, a systems analytic approach which aims to generate a practically meaningful group fuzzy preference relation which reflects differences or diversity of individual preferences is discussed.

[1]  J. Kacprzyk.  Group decision making with a fuzzy linguistic majority , 1986 .

[2]  H. Nurmi.  Approaches to collective decision making with fuzzy preference relations , 1981 .

[3]  J. Bezdek,et al.  A fuzzy relation space for group decision theory , 1978 .

[4]  K. S. Fu,et al.  AN AXIOMATIC APPROACH TO RATIONAL DECISION MAKING IN A FUZZY ENVIRONMENT , 1975 .

[5]  J. Kacprzyk.  Group decision-making with a fuzzy majority via linguistic quantifiers. part II: , 1985 .

[6]  J. Bezdek,et al.  Fuzzy relation spaces for group decision theory: An application , 1979 .

[7]  J. Blin.  Fuzzy Relations in Group Decision Theory , 1974 .

[8]  Hirotaka Nakayama,et al.  Methodology for Group Decision Support with an Application to Assessment of Residential Environment , 1979, IEEE Transactions on Systems, Man, and Cybernetics.

[9]  T. Pavlidis,et al.  Fuzzy sets and their applications to cognitive and decision processes , 1977 .

[10]  Eugene Galanter,et al.  Handbook of mathematical psychology: I. , 1963 .

[11]  Andrew Whinston,et al.  Fuzzy Sets and Social Choice , 1973 .

[12]  T. Tanino.  Fuzzy preference orderings in group decision making , 1984 .

[13]  Jin Bai Kim.  Fuzzy rational choice functions , 1983 .

[14]  Hans-Jürgen Zimmermann,et al.  Fuzzy Set Theory - and Its Applications , 1985 .

[15]  S. Ovchinnikov,et al.  Design of group decisions II. In spaces of partial order fuzzy relations , 1980 .

[16]  S. Ovchinnikov,et al.  Group decisions I. In arbitrary spaces of fuzzy binary relations , 1980 .

[17]  Vladimir Dimitrov,et al.  Group choice under fuzzy information , 1983 .

[18]  L. A. Goodman,et al.  Social Choice and Individual Values , 1951 .

[19]  Didier Dubois,et al.  Fuzzy sets and systems ' . Theory and applications , 2007 .