Multiplicative Consistency for Interval Additive Reciprocal Preference Relations

被引:0
作者
Wu, Jian [1 ]
Chiclana, Francisco [2 ,3 ]
机构
[1] Zhejiang Normal Univ, Sch Econ & Management, Jinhua, Zhejiang, Peoples R China
[2] De Montfort Univ, Fac Technol, DMU Interdisciplinary Grp Intelligent Transport S, Leicester LE1 9BH, Leics, England
[3] De Montfort Univ, Fac Technol, CCI, Leicester LE1 9BH, Leics, England
来源
2014 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE) | 2014年
关键词
GROUP DECISION-MAKING; WEIGHTED AVERAGING OPERATORS; PRIORITY WEIGHTS; FUZZY; TRANSITIVITY; ISSUES; MODELS;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The multiplicative consistency (MC) property of interval additive reciprocal preference relations (IARPRs) is explored, and then the consistency index is quantified by the multiplicative consistency estimated IARPR. The MC property is used to measure the level of consistency of the information provided by the experts and also to propose the consistency index induced ordered weighted averaging (CI-IOWA) operator. The novelty of this operator is that it aggregates individual IARPRs in such a way that more importance is put on the most consistent ones. Finally, an approach for group decision making problems with IARPRs is proposed.
引用
收藏
页码:33 / 38
页数:6
相关论文
共 30 条
[1]  
[Anonymous], 1985, INT J APPROXIMATE RE
[2]  
[Anonymous], 2005, APPL FUZZY ARITHMETI
[3]  
Bezdek J. C., 1978, Fuzzy Sets and Systems, V1, P255, DOI 10.1016/0165-0114(78)90017-9
[4]   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
[5]   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
[6]   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
[7]   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
[8]   Interval multiplicative transitivity for consistency, missing values and priority weights of interval fuzzy preference relations [J].
Genc, Serkan ;
Boran, Fatih Emre ;
Akay, Diyar ;
Xu, Zeshui .
INFORMATION SCIENCES, 2010, 180 (24) :4877-4891
[9]   Accuracy and complexity evaluation of defuzzification strategies for the discretised interval type-2 fuzzy set [J].
Greenfield, Sarah ;
Chiclana, Francisco .
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2013, 54 (08) :1013-1033
[10]   Defuzzification of the discretised generalised type-2 fuzzy set: Experimental evaluation [J].
Greenfield, Sarah ;
Chiclana, Francisco .
INFORMATION SCIENCES, 2013, 244 :1-25