ON CONVEXITY OF FUZZY MAPPINGS AND FUZZY OPTIMIZATIONS

被引：0
|
作者：
Qiu, Dong [1 ]
Li, Hua [1 ]
机构：
[1] Chongqing Univ Posts & Telecommun, Coll Math & Phys, Chongqing 400065, Peoples R China
来源：
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2015年 / 35期
基金：
中国国家自然科学基金;
关键词：
convexity; fuzzy mapping; fuzzy optimization;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, based on a new order and a new metric on the set of fuzzy numbers, we present the concepts of convexity of the fuzzy mappings and give characterization theorems for the convex fuzzy mappings and quasi-convex fuzzy mappings. Finally, we discuss the properties of convex fuzzy optimizations.
引用
收藏
页码：293 / 304
页数：12
相关论文
共 50 条
  • [1] Convexity and semicontinuity of fuzzy mappings
    Bao, Yu-E.
    Wu, Cong-Xin
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2006, 51 (12) : 1809 - 1816
  • [2] Fuzzy optimizations of convex fuzzy mappings in the quotient space of fuzzy numbers
    Qiu, Dong
    Li, Hua
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2016, 31 (03) : 1235 - 1244
  • [3] A note on convexity and semicontinuity of fuzzy mappings
    Syau, Yu-Ru
    Lee, E. Stanley
    [J]. APPLIED MATHEMATICS LETTERS, 2008, 21 (08) : 814 - 819
  • [4] ON FUZZY TOPOLOGY FUZZY CONVEXITY SPACES AND FUZZY LOCAL CONVEXITY
    ROSA, MV
    [J]. FUZZY SETS AND SYSTEMS, 1994, 62 (01) : 97 - 100
  • [5] A note on generalized convexity for fuzzy mappings through a linear ordering
    Chalco-Cano, Y.
    Rufian-Lizana, A.
    Roman-Flores, H.
    Osuna-Gomez, R.
    [J]. FUZZY SETS AND SYSTEMS, 2013, 231 : 70 - 83
  • [6] Convexity and local Lipschitz continuity of fuzzy-valued mappings
    Furukawa, N
    [J]. FUZZY SETS AND SYSTEMS, 1998, 93 (01) : 113 - 119
  • [7] Some Certain Fuzzy Aumann Integral Inequalities for Generalized Convexity via Fuzzy Number Valued Mappings
    Khan, Muhammad Bilal
    Othman, Hakeem A. A.
    Voskoglou, Michael Gr.
    Abdullah, Lazim
    Alzubaidi, Alia M. M.
    [J]. MATHEMATICS, 2023, 11 (03)
  • [8] Preinvexity and Φ1-convexity of fuzzy mappings through a linear ordering
    Syau, YR
    Lee, ES
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2006, 51 (3-4) : 405 - 418
  • [9] Fuzzy φ-convexity and fuzzy decision making
    Wang, LY
    Syau, YR
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 47 (10-11) : 1697 - 1705
  • [10] ON FUZZY CONVEXITY AND PARAMETRIC FUZZY OPTIMIZATION
    AMMAR, E
    METZ, J
    [J]. FUZZY SETS AND SYSTEMS, 1992, 49 (02) : 135 - 141
12345