Preinvexity and Φ1-convexity of fuzzy mappings through a linear ordering

被引：8
|
作者：
Syau, YR [1 ]
Lee, ES
机构：
[1] Natl Formosa Univ, Dept Informat Management, Huwei 63201, Yunlin, Taiwan
[2] Kansas State Univ, Dept Ind & Mfg Syst Engn, Manhattan, KS 66506 USA
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2006年 / 51卷 / 3-4期
关键词：
fuzzy numbers; convexity; preinvexity; generalized convexity; fuzzy mappings;
D O I：
10.1016/j.camwa.2005.10.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The preinvexity, prequasiinvexity, Phi(1)-convexity, and Phi(1)-quasiconvexity of fuzzy mappings are defined based on a linear ordering on the set of fuzzy numbers. Characterizations for these fuzzy mappings are obtained. The local-global minimum properties of real-valued preinvex functions and Phi(1)-convex functions are extended to preinvex fuzzy mappings and Phi(1)-convex fuzzy mappings, respectively. It is also proved that every strict local minimizer of a prequasiinvex fuzzy mapping is a strict global minimizer, and that every strict local minimizer of a Phi(1)-quasiconvex fuzzy mapping is a strict global minimizer. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：405 / 418
页数：14
相关论文
共 50 条
  • [31] VARIATIONAL-INEQUALITIES FOR FUZZY MAPPINGS .1.
    NOOR, MA
    [J]. FUZZY SETS AND SYSTEMS, 1993, 55 (03) : 309 - 312
  • [32] Vector quasivariational inequalities for fuzzy mappings .1.
    Chang, SS
    Lee, GM
    Lee, BS
    [J]. FUZZY SETS AND SYSTEMS, 1997, 87 (03) : 307 - 315
  • [33] TOWARDS FUZZY DIFFERENTIAL-CALCULUS .1. INTEGRATION OF FUZZY MAPPINGS
    DUBOIS, D
    PRADE, H
    [J]. FUZZY SETS AND SYSTEMS, 1982, 8 (01) : 1 - 17
  • [34] Augmentation of linear facial anthropometrics through modern morphometrics: a facial convexity example
    Wei, R.
    Claes, P.
    Walters, M.
    Wholley, C.
    Clement, J. G.
    [J]. AUSTRALIAN DENTAL JOURNAL, 2011, 56 (02) : 141 - 147
  • [35] CHARACTERIZATIONS OF LINEAR MAPPINGS THROUGH ZERO PRODUCTS OR ZERO JORDAN PRODUCTS
    An, Guanyu
    Li, Jiankui
    [J]. ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2016, 31 : 408 - 424
  • [36] Characterization of linear similarities through functional equation and mappings preserving orthogonalities
    Wojcik, Pawel
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2019, 579 : 206 - 216
  • [37] Characterizing linear mappings through zero products or zero Jordan products
    An, Guangyu
    He, Jun
    Li, Jiankui
    [J]. PERIODICA MATHEMATICA HUNGARICA, 2022, 84 (02) : 270 - 286
  • [38] Characterizing linear mappings through zero products or zero Jordan products
    Guangyu An
    Jun He
    Jiankui Li
    [J]. Periodica Mathematica Hungarica, 2022, 84 : 270 - 286
  • [39] Fixed Point Theorems for Generalized Contraction Mappings in Fuzzy Cone Normed Linear Space
    Tamang, Phurba
    Bag, Tarapada
    [J]. THAI JOURNAL OF MATHEMATICS, 2023, 21 (01): : 1 - 17
  • [40] LOCATION OF RESONANCES IN NON-LINEAR MAPPINGS .1.
    VECHESLAVOV, VV
    [J]. PHYSICA D, 1982, 5 (2-3): : 387 - 396
12345