Studies on consistency measure of hesitant fuzzy preference relations

被引:31
作者
Zhu, Bin [1 ]
机构
[1] Southeast Univ, Nanjing 211189, Jiangsu, Peoples R China
来源
FIRST INTERNATIONAL CONFERENCE ON INFORMATION TECHNOLOGY AND QUANTITATIVE MANAGEMENT | 2013年 / 17卷
关键词
Hesitant fuzzy set (HFS); heisntat fuzzy preference relation (HFPR); fuzzy preference relations (FPR); consistency measre; regression; GROUP DECISION-MAKING; MODEL;
D O I
10.1016/j.procs.2013.05.059
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Hesitant fuzzy sets (HFSs), as an extension of fuzzy sets, consider the degrees of membership by a set of possible values rather than a single one. For further applications of HFSs to decision making, we develop a concept of hesitant fuzzy preference relations (HFPRs) as a tool to collect and present decision makers' (DMs) preferences. Due to the importance of consistency measure for HFPRs to ensure that DMs are being neither random nor illogical, we develop a regression method to transform HFPRs to fuzzy preference relations (FPRs) with the highest consistency level. Sonic examples are given for illustration. (C) 2013 The Authors. Published by Elsevier B.V.
引用
收藏
页码:457 / 464
页数:8
相关论文
共 15 条
[1]   A consistency-based procedure to estimate missing pairwise preference values [J].
Alonso, S. ;
Chiclana, F. ;
Herrera, F. ;
Herrera-Viedma, E. ;
Alcala-Fdez, J. ;
Porcel, C. .
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2008, 23 (02) :155-175
[2]   Some induced ordered weighted averaging operators and their use for solving group decision-making problems based on fuzzy preference relations [J].
Chiclana, F. ;
Herrera-Viedma, E. ;
Herrera, F. ;
Alonso, S. .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2007, 182 (01) :383-399
[3]   Integrating multiplicative preference relations in a multipurpose decision-making model based on fuzzy preference relations [J].
Chiclana, F ;
Herrera, F ;
Herrera-Viedma, E .
FUZZY SETS AND SYSTEMS, 2001, 122 (02) :277-291
[4]   Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations [J].
Chiclana, F ;
Herrera, F ;
Herrera-Viedma, E .
FUZZY SETS AND SYSTEMS, 1998, 97 (01) :33-48
[5]   Cardinal Consistency of Reciprocal Preference Relations: A Characterization of Multiplicative Transitivity [J].
Chiclana, Francisco ;
Herrera-Viedma, Enrique ;
Alonso, Sergio ;
Herrera, Francisco .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2009, 17 (01) :14-23
[6]   A consensus support system model for group decision-making problems with multigranular linguistic preference relations [J].
Herrera-Viedma, E ;
Martínez, L ;
Mata, F ;
Chiclana, F .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2005, 13 (05) :644-658
[7]   Some issues on consistency of fuzzy preference relations [J].
Herrera-Viedma, E ;
Herrera, F ;
Chiclana, F ;
Luque, M .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2004, 154 (01) :98-109
[8]   A consensus model for group decision making with incomplete fuzzy preference relations [J].
Herrera-Viedma, Enrique ;
Alonso, Sergio ;
Chiclana, Francisco ;
Herrera, Francisco .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2007, 15 (05) :863-877
[9]  
Orlovsky S. A., 1978, Fuzzy Sets and Systems, V1, P155, DOI 10.1016/0165-0114(78)90001-5
[10]  
Saaty TL., 1980, ANAL HIERARCHY PROCE