A New Distance on a Specific Subset of Fuzzy Sets

被引:0
|
作者
Amirfakhrian, Majid [1 ]
机构
[1] Islamic Azad Univ, Cent Tehran Branch, Dept Math, Tehran, Iran
关键词
Fuzzy Sets; Fuzzy Numbers; Fuzzy LR Sets; Generalized LR Fuzzy Number; Value; Ambiguity;
D O I
10.5220/0006047900830087
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In this paper, first we propose a definition for fuzzy LR sets and then we present a method to assigning distance between these form of fuzzy sets. We show that this distance is a metric on the set of all trapezoidal fuzzy sets with the same height and all trapezoidal fuzzy numbers and is a pseudo-metric on the set of all fuzzy sets.
引用
下载
收藏
页码:83 / 87
页数:5
相关论文
共 50 条
  • [41] An overview of distance and similarity measures of Intuitionistic Fuzzy Sets
    Xu, Z. S.
    Chen, J.
    INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2008, 16 (04) : 529 - 555
  • [42] Distance measurement on intuitionistic fuzzy granular structure sets
    Weiping Yang
    Kuangfeng Gong
    Shuzhen Tu
    Chong Zeng
    Microsystem Technologies, 2021, 27 : 1633 - 1639
  • [43] Defuzzification of spatial fuzzy sets by feature distance minimization
    Sladoje, Natasa
    Lindblad, Joakim
    Nystrom, Ingela
    IMAGE AND VISION COMPUTING, 2011, 29 (2-3) : 127 - 141
  • [44] Distance and entropy measures for dual hesitant fuzzy sets
    Zhang, Huimin
    COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 39 (02):
  • [45] New generalization of fuzzy soft sets: (a, b)-Fuzzy soft sets
    Al-shami, Tareq M.
    Alcantud, Jose Carlos R.
    Mhemdi, Abdelwaheb
    AIMS MATHEMATICS, 2022, 8 (02): : 2995 - 3025
  • [46] Regular distance measures between intuitionistic fuzzy sets
    He Jianlong
    Zheng Mucong
    Shi Zhongke
    PROCEEDINGS OF 2010 ASIA-PACIFIC INTERNATIONAL SYMPOSIUM ON AEROSPACE TECHNOLOGY, VOL 1 AND 2, 2010, : 1226 - 1229
  • [47] Distance measurement on intuitionistic fuzzy granular structure sets
    Yang, Weiping
    Gong, Kuangfeng
    Tu, Shuzhen
    Zeng, Chong
    Microsystem Technologies, 2021, 27 (04) : 1633 - 1639
  • [48] A MODIFIED HAUSDORFF DISTANCE BETWEEN INTUITIONISTIC FUZZY SETS
    Tcvetkov, Radoslav
    Szmidt, Eulalia
    Kacprzyk, Janusz
    Atanassov, Krassimir
    COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, 2012, 65 (08): : 1035 - 1042
  • [49] DISTANCE AND SIMILARITY MEASURES BETWEEN INTUITIONISTIC FUZZY SETS
    Zheng, Mucong
    Shi, Zhongke
    Liu, Yan
    Han, Guodong
    QUANTITATIVE LOGIC AND SOFT COMPUTING, 2012, 5 : 589 - 596
  • [50] Distance and entropy measures for dual hesitant fuzzy sets
    Huimin Zhang
    Computational and Applied Mathematics, 2020, 39