Relationship between subsethood measure and entropy of interval-valued intuitionistic fuzzy sets

被引：0
|
作者：
Park, Jin Han [1 ]
Lim, Ki Moon [1 ]
Lee, Bu Young [2 ]
机构：
[1] Pukyong Natl Univ, Dept Appl Math, Pusan 608737, South Korea
[2] Dong A Univ, Dept Math, Pusan 604714, South Korea
来源：
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2015年 / 18卷 / 02期
关键词：
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
The main purpose of this paper is to establish a unified formulation of subsethood, entropy and cardinality of interval-valued intuitionistic fuzzy sets. The notion of average possible cardinality is presented and its connection to least and biggest cardinalities is established. Moreover, the entropy-subsethood theorem of interval-valued intuitionistic fuzzy sets, which generalizes the works of Kosko [Inform. Sci. 40 (1986) 165] of fuzzy sets and Vlachos and Sergiadis [Fuzzy Sets Syst. 158 (2007) 1384] of interval-valued fuzzy sets, is algebraically proved.
引用
收藏
页码：357 / 370
页数：14
相关论文
共 50 条
  • [1] Entropy and subsethood for general interval-valued intuitionistic fuzzy sets
    Liu, XD
    Zheng, SH
    Xiong, FL
    FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY, PT 1, PROCEEDINGS, 2005, 3613 : 42 - 52
  • [2] Relationships Between Entropy and Similarity Measure of Interval-Valued Intuitionistic Fuzzy Sets
    Zhang, Qiansheng
    Jiang, Shengyi
    INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2010, 25 (11) : 1121 - 1140
  • [3] Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets
    Burillo, P
    Bustince, H
    FUZZY SETS AND SYSTEMS, 1996, 78 (03) : 305 - 316
  • [4] Entropy, similarity measure of interval-valued intuitionistic fuzzy sets and their applications
    Wei, Cui-Ping
    Wang, Pei
    Zhang, Yu-Zhong
    INFORMATION SCIENCES, 2011, 181 (19) : 4273 - 4286
  • [5] The Entropy and Similarity Measure of Interval Valued Intuitionistic Fuzzy Sets and Their Relationship
    Hu, Kai
    Li, Jinquan
    INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2013, 15 (03) : 279 - 288
  • [6] Subsethood, entropy, and cardinality for interval-valued fuzzy sets - An algebraic derivation
    Vlachos, Ioannis K.
    Sergiadis, George D.
    FUZZY SETS AND SYSTEMS, 2007, 158 (12) : 1384 - 1396
  • [7] An approach to construct entropy and similarity measure for interval-valued intuitionistic fuzzy sets
    Hu Lunbin
    PROCEEDINGS OF THE 2012 24TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2012, : 1777 - 1782
  • [8] INTERVAL-VALUED INTUITIONISTIC FUZZY SETS AND SIMILARITY MEASURE
    Pekala, B.
    Balicki, K.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2017, 14 (04): : 87 - 98
  • [9] A new similarity measure between interval-valued intuitionistic fuzzy sets
    Singh, Pushpinder
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2014, 27 (01) : 555 - 566
  • [10] Entropy on intuitionistic fuzzy soft sets and on interval-valued fuzzy soft sets
    Jiang, Yuncheng
    Tang, Yong
    Liu, Hai
    Chen, Zhenzhou
    INFORMATION SCIENCES, 2013, 240 : 95 - 114
12345