On Intuitionistic FUZZY Measures and The Count of Intuitionistic FUZZY Sets

被引：0
|
作者：
Tripathy, B. K. [1 ]
Saraf, Prateek [1 ]
Satapathy, M. K. [2 ]
机构：
[1] VIT Univ, Sch Comp Sci & Engn, Vellore, Tamil Nadu, India
[2] RG Coll, Dept Math, Padmapur, Odisha, India
来源：
2013 IEEE INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE AND COMPUTING RESEARCH (ICCIC) | 2013年
关键词：
Fuzzy set; Intuitionistic fuzzy set; Fuzzy count; Intuitionistic fuzzy count; intuitionistic fuzzy measure;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
There have been three approaches to find the measures of fuzzy sets, which extend the count function for crisp sets. The first one is due to Deluca and Termini; second one a measure theoretic approach due to Zadeh and a bag theoretic approach due to Tripathy et al. Intuitionistic fuzzy sets are generalizations of fuzzy sets. So, efforts have been made recently to extend the above three approaches to find measures for cardinalities of intuitionistic fuzzy sets. The extension of the approach due to Deluca and Termini to the context of intuitionistic fuzzy sets by Tripathy et al [9]. In this paper, we define measures of intuitionistic fuzzy sets to define the count of an intuitionistic fuzzy set in the direction of Zadeh. Also, we establish several properties of these measures.
引用
下载
收藏
页码：453 / 456
页数：4
相关论文
共 50 条
  • [1] Intuitionistic fuzzy value similarity measures for intuitionistic fuzzy sets
    Chen, Zichun
    Liu, Penghui
    COMPUTATIONAL & APPLIED MATHEMATICS, 2022, 41 (01):
  • [2] Intuitionistic fuzzy value similarity measures for intuitionistic fuzzy sets
    Zichun Chen
    Penghui Liu
    Computational and Applied Mathematics, 2022, 41
  • [3] Systems on intuitionistic fuzzy special sets and intuitionistic fuzzy special measures
    Coskun, E
    INFORMATION SCIENCES, 2000, 128 (1-2) : 105 - 118
  • [4] Distance measures on intuitionistic fuzzy sets based on intuitionistic fuzzy dissimilarity functions
    Xingxing He
    Yingfang Li
    Keyun Qin
    Dan Meng
    Soft Computing, 2020, 24 : 523 - 541
  • [5] Distance measures on intuitionistic fuzzy sets based on intuitionistic fuzzy dissimilarity functions
    He, Xingxing
    Li, Yingfang
    Qin, Keyun
    Meng, Dan
    SOFT COMPUTING, 2020, 24 (01) : 523 - 541
  • [6] Roughness measures of intuitionistic fuzzy sets
    Zhou, Lei
    Zhang, Wen-Xiu
    Wu, Wei-Zhi
    ROUGH SETS AND KNOWLEDGE TECHNOLOGY, 2008, 5009 : 308 - +
  • [7] On correlation measures of intuitionistic fuzzy sets
    Xu, Zeshui
    INTELLIGENT DATA ENGINEERING AND AUTOMATED LEARNING - IDEAL 2006, PROCEEDINGS, 2006, 4224 : 16 - 24
  • [8] Similarity measures on intuitionistic fuzzy sets
    Zhen, Zhou
    Qi-zong, Wu
    FOURTH INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY, VOL 1, PROCEEDINGS, 2007, : 228 - +
  • [9] Similarity measures on intuitionistic fuzzy sets
    Liang, ZZ
    Shi, PF
    PATTERN RECOGNITION LETTERS, 2003, 24 (15) : 2687 - 2693
  • [10] On Invariant Measures on Intuitionistic Fuzzy Sets
    Michalikova, Alzbeta
    Riecan, Beloslav
    ADVANCES IN FUZZY LOGIC AND TECHNOLOGY 2017, VOL 2, 2018, 642 : 529 - 534
12345