Aproperty on convex fuzzy sets

被引:27
|
作者
Yang, Xin Min [1 ]
Yang, Feng Mei [2 ]
机构
[1] Chongqing Normal Univ, Dept Math, Chongqing 400047, Peoples R China
[2] Beijing Univ Chem Technol, Dept Appl Math, Beijing 100029, Peoples R China
基金
中国国家自然科学基金;
关键词
Convex fuzzy set; Lower semicontinuity; Characterization;
D O I
10.1016/S0165-0114(01)00075-6
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this note, a new result characterizing fuzzy set convexity is given under lower semicontinuous condition. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:269 / 271
页数:3
相关论文
共 50 条
  • [31] Aubin cores and bargaining sets for convex cooperative fuzzy games
    Wenbo Yang
    Jiuqiang Liu
    Xiaodong Liu
    International Journal of Game Theory, 2011, 40 : 467 - 479
  • [32] Construction of non-convex fuzzy sets and its application
    Hu, Dan
    Jiang, Tao
    Yu, Xianchuan
    NEUROCOMPUTING, 2020, 393 : 175 - 186
  • [33] Ordering of convex fuzzy sets - A brief survey and new results
    Kurano, M
    Yasuda, M
    Nakagami, J
    Yoshida, Y
    JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF JAPAN, 2000, 43 (01) : 138 - 148
  • [34] Characterizations of the Solution Sets of Generalized Convex Fuzzy Optimization Problem
    Chen, Wang
    Zhou, Zhiang
    OPEN MATHEMATICS, 2019, 17 : 52 - 70
  • [35] A Note About a Sufficient and Necessary Condition of the Convex Fuzzy Sets
    Zhao, Chunguang
    Hao, Ying
    Li, Xiaoqi
    INTERNATIONAL JOINT CONFERENCE ON APPLIED MATHEMATICS, STATISTICS AND PUBLIC ADMINISTRATION (AMSPA 2014), 2014, : 54 - 59
  • [36] Aubin cores and bargaining sets for convex cooperative fuzzy games
    Yang, Wenbo
    Liu, Jiuqiang
    Liu, Xiaodong
    INTERNATIONAL JOURNAL OF GAME THEORY, 2011, 40 (03) : 467 - 479
  • [37] THE RECESSION CONES AND CARATHEODORY THEOREM OF CONVEX FUZZY-SETS
    ZHOU, FY
    FUZZY SETS AND SYSTEMS, 1991, 44 (01) : 57 - 69
  • [38] A fuzzy ordering on multi-dimensional fuzzy sets induced from convex cones
    Yoshida, Y
    Kerre, EE
    FUZZY SETS AND SYSTEMS, 2002, 130 (03) : 343 - 355
  • [39] Convex-cone-based comparisons of and difference evaluations for fuzzy sets
    Ike, Koichiro
    Tanaka, Tamaki
    OPTIMIZATION, 2018, 67 (07) : 1051 - 1066
  • [40] TYPICAL CONVEX-SETS OF CONVEX-SETS
    SCHWARZ, T
    ZAMFIRESCU, T
    JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1987, 43 : 287 - 290