Generalized fuzzy cardinalities of IF sets

被引:0
|
作者
Kral, Pavel [1 ]
机构
[1] Matej Bel Univ, Fac Econ, Bystrica 97590, Slovakia
关键词
fuzzy cardinality; interval-valued fuzzy sets;
D O I
10.1007/3-540-34783-6_26
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The paper by Casasnovas and Torrens (Fuzzy sets and systems 133:193209, 2003) presents the axiomatic theory of fuzzy cardinalities of finite fuzzy sets. The aim of our contribution is to extend this axiomatic theory to the finite intuitionistic fuzzy sets using t-norms on a lattice L-I, the underlying lattice of interval-valued fuzzy sets.
引用
收藏
页码:251 / 261
页数:11
相关论文
共 50 条
  • [31] Fuzzy generalized closed sets via fuzzy grills
    Das, Sumita
    Mukherjee, M. N.
    [J]. FILOMAT, 2012, 26 (03) : 563 - 571
  • [32] Uniqueness in the generalized representation by fuzzy sets
    Saidi, Fathi B.
    Jaballah, Ali
    [J]. FUZZY SETS AND SYSTEMS, 2008, 159 (16) : 2176 - 2184
  • [33] On Regular Generalized Fuzzy Compact Sets
    Chen, Bin
    [J]. PROCEEDINGS OF 2009 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-6, 2009, : 749 - 754
  • [34] Generalized fuzzy Mandelbrot and Mandelbar sets
    Ince, Ibrahim
    Ersoy, Soley
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2023, 118
  • [35] Category of Generalized Intuitionistic Fuzzy Sets
    YANG Wan-cai
    [J]. Chinese Quarterly Journal of Mathematics, 2005, (02) : 192 - 199
  • [36] Generalized Entropy for Intuitionistic Fuzzy Sets
    Gupta, Priti
    Arora, H. D.
    Tiwari, Pratiksha
    [J]. MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 2016, 10 (02): : 209 - 220
  • [37] R - Generalized Fuzzy Convex Sets
    Liao, Zu-hua
    Hao, Cui-yun
    Yao, Shi-yan
    [J]. 2012 INTERNATIONAL WORKSHOP ON INFORMATION AND ELECTRONICS ENGINEERING, 2012, 29 : 2230 - 2234
  • [38] Definable Sets in Generic Structures and their Cardinalities
    Kiouvrekis Y.
    Stefaneas P.
    Sudoplatov S.V.
    [J]. Siberian Advances in Mathematics, 2018, 28 (1) : 39 - 52
  • [39] Scalar and Fuzzy Cardinalities of Crisp and Fuzzy Multisets
    Casasnovas, Jaume
    Rossello, Francesc
    [J]. INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2009, 24 (06) : 587 - 623
  • [40] On fuzzy association rules based on fuzzy cardinalities
    Bosc, P
    Pivert, O
    Dubois, D
    Prade, H
    [J]. 10TH IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-3: MEETING THE GRAND CHALLENGE: MACHINES THAT SERVE PEOPLE, 2001, : 461 - 464