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
  • [21] Some Methods Considering Multiplicative Consistency and Consensus in Group Decision Making with Interval-Valued Intuitionistic Fuzzy Preference Relations
    Kim, Yun-Gil
    Yang, Won-Chol
    Choe, Thae-Ryong
    INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2021, 29 (03) : 353 - 383
  • [22] Non-dominance and attitudinal prioritisation methods for intuitionistic and interval-valued intuitionistic fuzzy preference relations
    Wu, Jian
    Chiclana, Francisco
    EXPERT SYSTEMS WITH APPLICATIONS, 2012, 39 (18) : 13409 - 13416
  • [23] Isomorphic Multiplicative Transitivity for Intuitionistic and Interval-Valued Fuzzy Preference Relations and Its Application in Deriving Their Priority Vectors
    Wu, Jian
    Chiclana, Francisco
    Liao, Huchang
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2018, 26 (01) : 193 - 202
  • [24] Stochastic group preference acceptability analysis for interval-valued multiplicative preference relations based on TODIM method
    Zhang, Ke
    Zhou, Ligang
    Dai, Xianchao
    Li, Hao
    APPLIED SOFT COMPUTING, 2024, 151
  • [25] A Group Decision Making Approach Based on Newly Defined Additively Consistent Interval-Valued Intuitionistic Preference Relations
    Junfeng Chu
    Xinwang Liu
    Liang Wang
    Yingming Wang
    International Journal of Fuzzy Systems, 2018, 20 : 1027 - 1046
  • [26] Group decision making with incomplete intuitionistic multiplicative preference relations
    Zhang, Zhiming
    Chen, Shyi-Ming
    Wang, Chao
    INFORMATION SCIENCES, 2020, 516 : 560 - 571
  • [27] Consistency and consensus enhancing in group decision making with interval-valued intuitionistic multiplicative preference relations based on bounded confidence
    Dong, Jiu-Ying
    Lu, Xiao-Yun
    Li, He-Cheng
    Wan, Shu-Ping
    Yang, Shu-Qun
    INFORMATION SCIENCES, 2024, 652
  • [28] A comprehensive group decision-making method with interval-valued intuitionistic fuzzy preference relations
    Wang, Feng
    Wan, Shuping
    SOFT COMPUTING, 2021, 25 (01) : 343 - 362
  • [29] The consistency and consensus analysis for group decision-making with incomplete linguistic interval-valued intuitionistic fuzzy preference relations
    Li, Tao
    Zhang, Liyuan
    Zhang, Zhenglong
    APPLIED INTELLIGENCE, 2023, 53 (20) : 23500 - 23521
  • [30] The consistency and consensus analysis for group decision-making with incomplete linguistic interval-valued intuitionistic fuzzy preference relations
    Tao Li
    Liyuan Zhang
    Zhenglong Zhang
    Applied Intelligence, 2023, 53 : 23500 - 23521