Fuzzy criteria importance depending on membership degrees of fuzzy relations

被引:0
|
作者
Peneva, Vania [1 ]
Popchev, Ivan [1 ]
机构
[1] Bulgarian Acad Sci, Inst Informat Technol, BU-1113 Sofia, Bulgaria
来源
关键词
fuzzy multicriteria decision making; fuzzy relations; aggregation operators; fuzzy relations' properties; weighting functions;
D O I
暂无
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
The problem is connected with the weighted aggregation of fuzzy relations given by criteria that evaluate a finite set of alternatives. The weights of these criteria are quadratic weighting functions depending on the membership degrees of the fuzzy relations. Transformed membership degrees computed by the help of these weighting functions are used in aggregation procedures. The properties of these relations required to decide the problems of choice, ranking or clustering of the alternatives' set are proved.
引用
收藏
页码:579 / 584
页数:6
相关论文
共 50 条
  • [21] Fuzzy group membership
    Friedman, R
    FUTURE DIRECTIONS IN DISTRIBUTED COMPUTING: RESEARCH AND POSITION PAPERS, 2003, 2584 : 114 - 118
  • [22] Fuzzy group membership
    Friedman, Roy
    Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2003, 2584 : 114 - 118
  • [23] Formalizing Object Membership in Fuzzy Ontology with Property Importance and Property Priority
    Cai, Yi
    Leung, Ho-fung
    IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ 2011), 2011, : 1719 - 1726
  • [24] Membership function sensitivity of descriptive statistics in fuzzy-set relations
    Thiem, Alrik
    INTERNATIONAL JOURNAL OF SOCIAL RESEARCH METHODOLOGY, 2014, 17 (06) : 625 - 642
  • [25] On fuzzy relations, adjunctions, and functional fuzzy relations
    Cabrera, Inma P.
    Cordero, Pablo
    Ojeda-Aciego, Manuel
    PROCEEDINGS OF 2016 IEEE SYMPOSIUM SERIES ON COMPUTATIONAL INTELLIGENCE (SSCI), 2016,
  • [26] Discrete choice models with Atanassov-type intuitionistic fuzzy membership degrees
    Deng, Xinyang
    Yang, Yang
    Jiang, Wen
    INFORMATION SCIENCES, 2023, 622 : 46 - 67
  • [27] On Admissible Total Orders for Interval-valued Intuitionistic Fuzzy Membership Degrees
    Da Silva, I. A.
    Bedregal, B.
    Santiago, R. H. N.
    FUZZY INFORMATION AND ENGINEERING, 2016, 8 (02) : 169 - 182
  • [28] FUZZY LATTICES AS FUZZY RELATIONS
    Chon, Inheung
    KOREAN JOURNAL OF MATHEMATICS, 2015, 23 (04): : 557 - 569
  • [29] A NOVEL INVENTORY CLASSIFICATION APPROACH BASED ON FUZZY MEMBERSHIP DEGREES OF EVALUATION INDEXES
    Sun, Hua-Li
    Xue, Yao-Feng
    PROCEEDINGS OF 2009 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-6, 2009, : 3722 - +
  • [30] FUZZY RELATIONS AND FUZZY GROUPS
    BHATTACHARYA, P
    MUKHERJEE, NP
    INFORMATION SCIENCES, 1985, 36 (03) : 267 - 282