Acceptably consistent incomplete interval-valued intuitionistic multiplicative preference relations

被引:5
作者
Sahu, Mamata [1 ]
Gupta, Anjana [1 ]
Mehra, Aparna [2 ]
机构
[1] Delhi Technol Univ, Dept Appl Math, Delhi 110042, India
[2] Indian Inst Technol Delhi, Dept Math, Hauz Khas, Delhi 110016, India
关键词
Multiplicative preference relation; Interval-valued intuitionistic fuzzy number; Acceptably consistent preference relation; Multi-criteria group decision-making problems; GROUP DECISION-MAKING; ANALYTIC HIERARCHY PROCESS; COMPARISON MATRICES; FUZZY-SETS; MODELS;
D O I
10.1007/s00500-018-3358-8
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
We study the consistency property, and especially the acceptably consistent property, for incomplete interval-valued intuitionistic multiplicative preference relations. We propose a technique which first estimates the initial values for all missing entries in an incomplete interval-valued intuitionistic multiplicative preference relation and then improves them by a local optimization method. Two examples are presented in order to illustrate applications of the proposed method in group decision-making problems.
引用
收藏
页码:7463 / 7477
页数:15
相关论文
共 50 条
[41]   An intuitionistic fuzzy programming method for group decision making with interval-valued fuzzy preference relations [J].
Wan, Shu-Ping ;
Wang, Feng ;
Xu, Gai-li ;
Dong, Jiu-ying ;
Tang, Jing .
FUZZY OPTIMIZATION AND DECISION MAKING, 2017, 16 (03) :269-295
[42]   An Atanassov intuitionistic fuzzy programming method for group decision making with interval-valued Atanassov intuitionistic fuzzy preference relations [J].
Wan, Shu-ping ;
Xu, Gai-li ;
Dong, Jiu-ying .
APPLIED SOFT COMPUTING, 2020, 95
[43]   Analysis of the consistency and consensus for group decision-making with interval-valued intuitionistic fuzzy preference relations [J].
Zhang, Shaolin ;
Meng, Fanyong .
COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 39 (03)
[44]   Analysis of the consistency and consensus for group decision-making with interval-valued intuitionistic fuzzy preference relations [J].
Shaolin Zhang ;
Fanyong Meng .
Computational and Applied Mathematics, 2020, 39
[45]   Intuitionistic and interval-valued intutionistic fuzzy preference relations and their measures of similarity for the evaluation of agreement within a group [J].
Xu, Zeshui ;
Yager, Ronald R. .
FUZZY OPTIMIZATION AND DECISION MAKING, 2009, 8 (02) :123-139
[46]   Intuitionistic and interval-valued intutionistic fuzzy preference relations and their measures of similarity for the evaluation of agreement within a group [J].
Zeshui Xu ;
Ronald R. Yager .
Fuzzy Optimization and Decision Making, 2009, 8 :123-139
[47]   Simplified interval-valued intuitionistic multiplicative numbers in uncertain group decision making [J].
Liu, Ming ;
Zhao, Hua ;
Xu, Zeshui ;
Ma, Rufei .
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 37 (03) :3879-3895
[48]   Additive consistent interval-valued Atanassov intuitionistic fuzzy preference relation and likelihood comparison algorithm based group decision making [J].
Wan, Shuping ;
Wang, Feng ;
Dong, Jiuying .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2017, 263 (02) :571-582
[49]   Interactively iterative group decision-making method with interval-valued intuitionistic fuzzy preference relations based on a new additively consistent concept [J].
Lu, Xiao-Yun ;
Dong, Jiu-Ying ;
Wan, Shu-Ping ;
Li, He-Cheng .
APPLIED SOFT COMPUTING, 2024, 152
[50]   A method for estimating criteria weights from interval-valued intuitionistic fuzzy preference relation [J].
Wang, Weize ;
Qin, Jindong ;
Liu, Xinwang .
2014 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE), 2014, :285-292