Convexity in triangular norm of fuzzy sets

被引:3
|
作者
Nourouzi, Kourosh [1 ]
Aghajani, Asadollah [2 ]
机构
[1] KN Toosi Univ Technol, Dept Math, Tehran, Iran
[2] Damghan Univ Sci, Dept Math, Damghan, Iran
关键词
D O I
10.1016/j.chaos.2006.07.006
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we investigate some *-convexity properties of fuzzy sets, where * is a triangular norm on [0, 1]. Our main results extend some known results for convex fuzzy sets. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:883 / 889
页数:7
相关论文
共 50 条
  • [21] Triangular norm based predicate fuzzy logics
    Cintula, Petr
    Hajek, Petr
    FUZZY SETS AND SYSTEMS, 2010, 161 (03) : 311 - 346
  • [22] Compactness and convexity on the space of fuzzy sets II
    Kim, YK
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 57 (5-6) : 639 - 653
  • [23] Continuous triangular norm based fuzzy topology
    Dexue Zhang
    Gao Zhang
    Archive for Mathematical Logic, 2019, 58 : 915 - 942
  • [24] A novel similarity degree of intuitionistic fuzzy sets induced by triangular norm and its application in pattern recognition
    Shi, Zhan-Hong
    Zhang, Ding-Hai
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 37 (02) : 3041 - 3051
  • [25] Triangular norms and measures of fuzzy sets
    Navara, M
    LOGICAL, ALGEBRAIC, ANALYTIC, AND PROBABILISTIC ASPECTS OF TRIANGULAR NORMS, 2005, : 345 - 390
  • [26] Triangular dense fuzzy lock sets
    De, Sujit Kumar
    SOFT COMPUTING, 2018, 22 (21) : 7243 - 7254
  • [27] Triangular dense fuzzy lock sets
    Sujit Kumar De
    Soft Computing, 2018, 22 : 7243 - 7254
  • [28] A Characterisation of Bases of Triangular Fuzzy Sets
    Codara, Pietro
    D'Antona, Ottavio M.
    Marra, Vincenzo
    2009 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-3, 2009, : 604 - 609
  • [29] Convexity Invariance of Fuzzy Sets under the Extension Principles
    Qiu, Dong
    Zhang, Weiquan
    JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2012,
  • [30] ON TRIANGULAR NORM-BASED PROPOSITIONAL FUZZY LOGICS
    BUTNARIU, D
    KLEMENT, EP
    ZAFRANY, S
    FUZZY SETS AND SYSTEMS, 1995, 69 (03) : 241 - 255