A NEW APPROACH FOR ORDERING FUZZY NUMBERS AND ITS APPLICATION TO FUZZY MATRIX GAMES

被引:0
|
作者
Akyar, Handan [1 ]
机构
[1] Eskisehir Tech Univ, Fac Sci, Dept Math, TR-26470 Eskisehir, Turkey
来源
关键词
Generalized fuzzy numbers; Gergonne point; ranking fuzzy numbers; ordering fuzzy numbers; fuzzy matrix games;
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
In this paper, a new geometric method for ordering generalized trapezoidal fuzzy numbers with different left and right heights, based on the Gergonne point of a triangle is presented. The suggested method can order not only generalized trapezoidal fuzzy numbers but also crisp numbers and generalized triangular fuzzy numbers with the same centroid point. We also give an application of the proposed ordering method to the fuzzy matrix games, whose payoffs are represented by generalized trapezoidal fuzzy numbers with different left and right heights.
引用
收藏
页码:547 / 564
页数:18
相关论文
共 50 条
  • [1] A fast approach to compute fuzzy values of matrix games with payoffs of triangular fuzzy numbers
    Li, Deng-Feng
    [J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2012, 223 (02) : 421 - 429
  • [2] Fuzzy ordering of fuzzy numbers
    Canfora, G
    Troiano, L
    [J]. 2004 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-3, PROCEEDINGS, 2004, : 669 - 674
  • [3] Fuzzy multiobjective programming methods for fuzzy constrained matrix games with fuzzy numbers
    Li, DF
    Cheng, CT
    [J]. INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2002, 10 (04) : 385 - 400
  • [4] Fuzzy ordering of fuzzy numbers
    Buckley, JJ
    Eslami, E
    [J]. INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2004, 12 (01) : 105 - 114
  • [5] A Fast Approach to Solve Matrix Games with Payoffs of Trapezoidal Fuzzy Numbers
    Kumar, Sanjiv
    Chopra, Ritika
    Saxena, Ratnesh R.
    [J]. ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH, 2016, 33 (06)
  • [6] A new approach for solving constrained matrix games with fuzzy constraints and fuzzy payoffs
    Djebara, Sabiha
    Achemine, Farida
    Zerdani, Ouiza
    [J]. JOURNAL OF MATHEMATICAL MODELING, 2023, 11 (03): : 425 - 439
  • [7] Fuzzy matrix games via a fuzzy relation approach
    V. Vijay
    A. Mehra
    S. Chandra
    C. R. Bector
    [J]. Fuzzy Optimization and Decision Making, 2007, 6 : 299 - 314
  • [8] Fuzzy matrix games via a fuzzy relation approach
    Vijay, V.
    Mehra, A.
    Chandra, S.
    Bector, C. R.
    [J]. FUZZY OPTIMIZATION AND DECISION MAKING, 2007, 6 (04) : 299 - 314
  • [9] VSOP fuzzy numbers and their fuzzy ordering
    Horiuchi, K
    Tamura, N
    [J]. FUZZY SETS AND SYSTEMS, 1998, 93 (02) : 197 - 210
  • [10] Fuzzy Multi-objective Programming Approach for Constrained Matrix Games with Payoffs of Fuzzy Rough Numbers
    Brikaa, M. G.
    Zheng, Zhoushun
    Ammar, El-Saeed
    [J]. SYMMETRY-BASEL, 2019, 11 (05):