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
来源：
PROCEEDINGS OF THE 8TH INTERNATIONAL JOINT CONFERENCE ON COMPUTATIONAL INTELLIGENCE, VOL 2: FCTA | 2016年
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
收藏
页码：83 / 87
页数：5
相关论文
共 50 条
  • [21] Reasoning About Distance Based on Fuzzy Sets
    Hans W. Guesgen
    Applied Intelligence, 2002, 17 : 265 - 270
  • [22] Note on distance measure of hesitant fuzzy sets
    Li, Deqing
    Zeng, Wenyi
    Zhao, Yibin
    INFORMATION SCIENCES, 2015, 321 : 103 - 115
  • [23] Modified Distance Measure Between Fuzzy Sets
    Zhao, Ruirui
    Luo, Minxia
    2017 12TH INTERNATIONAL CONFERENCE ON INTELLIGENT SYSTEMS AND KNOWLEDGE ENGINEERING (IEEE ISKE), 2017,
  • [24] Distance and similarity measures for Pythagorean fuzzy sets
    Paul Augustine Ejegwa
    Granular Computing, 2020, 5 : 225 - 238
  • [25] Modified Hausdorff distance between fuzzy sets
    Chaudhuri, B.B.
    Rosenfeld, A.
    Information sciences, 1999, 118 (01): : 159 - 171
  • [26] ORDERING, DISTANCE AND CLOSENESS OF FUZZY-SETS
    KOCZY, LT
    HIROTA, K
    FUZZY SETS AND SYSTEMS, 1993, 59 (03) : 281 - 293
  • [27] Measuring the Directional Distance Between Fuzzy Sets
    McCulloch, Josie
    Wagner, Christian
    Aickelin, Uwe
    2013 13TH UK WORKSHOP ON COMPUTATIONAL INTELLIGENCE (UKCI), 2013, : 38 - 45
  • [28] A Hamming score distance of hesitant fuzzy sets
    Rodzi, Zahari Md
    Hassan, Nasruddin
    14TH INTERNATIONAL SYMPOSIUM ON GEOMETRIC FUNCTION THEORY AND APPLICATIONS, 2019, 1212
  • [29] Distance measure between intuitionistic fuzzy sets
    Wang, WQ
    Xin, XL
    PATTERN RECOGNITION LETTERS, 2005, 26 (13) : 2063 - 2069
  • [30] Distance and similarity measures for Pythagorean fuzzy sets
    Ejegwa, Paul Augustine
    GRANULAR COMPUTING, 2020, 5 (02) : 225 - 238
12345