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
收藏
页码：453 / 456
页数：4
相关论文
共 50 条
  • [31] New Entropy and Distance Measures of Intuitionistic Fuzzy Sets
    Huang, Jinfang
    Jin, Xin
    Fang, Dianwu
    Lee, Shin-Jye
    Jiang, Qian
    Yao, Shaowen
    2020 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE), 2020,
  • [32] DISTANCE MEASURES FOR HESITANT INTUITIONISTIC FUZZY LINGUISTIC SETS
    Meng Fanyong
    Tan Chunqiao
    ECONOMIC COMPUTATION AND ECONOMIC CYBERNETICS STUDIES AND RESEARCH, 2017, 51 (04): : 207 - 224
  • [33] Distance and Similarity Measures for Intuitionistic Hesitant Fuzzy Sets
    Chen, Xiuming
    Li, Jingming
    Qian, Li
    Hu, Xiande
    PROCEEDINGS OF THE 2016 INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE: TECHNOLOGIES AND APPLICATIONS, 2016, 127
  • [34] Cosine similarity measures for intuitionistic fuzzy sets and their applications
    Ye, Jun
    MATHEMATICAL AND COMPUTER MODELLING, 2011, 53 (1-2) : 91 - 97
  • [35] Divergence measures for circular intuitionistic fuzzy sets and their applications
    Khan, Muhammad Jabir
    Kumam, Wiyada
    Alreshidi, Nasser Aedh
    ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2022, 116
  • [36] Similarity measures for intuitionistic fuzzy sets: State of the art
    Baccour, Leila
    Alimi, Adel M.
    John, Robert I.
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2013, 24 (01) : 37 - 49
  • [37] Similarity and entropy measures for circular intuitionistic fuzzy sets
    Alreshidi, Nasser Aedh
    Shah, Zahir
    Khan, Muhammad Jabir
    ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2024, 131
  • [38] Discussion on Definitions for Similarity Measures of Intuitionistic Fuzzy Sets
    Chuang, Pi-Chang
    Chao, Chung-Jen
    Hung, Kuo-Chen
    JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, 2014, 17 (02): : 149 - 156
  • [39] 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
  • [40] 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
12345