Non-monotonic fuzzy measures and intuitionistic fuzzy sets

被引:0
|
作者
Narukawa, Yasuo
Torra, Vicenc
机构
[1] Toho Gakuen, Kunitachi, Tokyo 1860004, Japan
[2] Inst Invest Intelligencia Artificial, Bellaterra 08193, Catalonia, Spain
来源
MODELING DECISIONS FOR ARTIFICIAL INTELLIGENCE | 2006年 / 3885卷
关键词
fuzzy measure; non-monotonic fuzzy measure; choquet integral; intuitionistic fuzzy sets; Hamming distance;
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
Non-monotonic fuzzy measures induced by an intuitinistic fuzzy set are introduced. Then, using the Choquet integral with respect to the non-monotonic fuzzy measure, the weighted distance between two intuitionistic fuzzy sets is defined. As it will be shown here, under some conditions, the weighted distance coincides with the Hamming distance.
引用
收藏
页码:150 / 160
页数:11
相关论文
共 50 条
  • [1] On Intuitionistic FUZZY Measures and The Count of Intuitionistic FUZZY Sets
    Tripathy, B. K.
    Saraf, Prateek
    Satapathy, M. K.
    2013 IEEE INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE AND COMPUTING RESEARCH (ICCIC), 2013, : 453 - 456
  • [2] Non-monotonic fuzzy reasoning
    Castro, JL
    Trillas, E
    Zurita, JM
    FUZZY SETS AND SYSTEMS, 1998, 94 (02) : 217 - 225
  • [3] Intuitionistic fuzzy value similarity measures for intuitionistic fuzzy sets
    Chen, Zichun
    Liu, Penghui
    COMPUTATIONAL & APPLIED MATHEMATICS, 2022, 41 (01):
  • [4] Rough sets in the neuro-fuzzy architectures based on non-monotonic fuzzy implications
    Nowicki, R
    ARTIFICIAL INTELLIGENCE AND SOFT COMPUTING - ICAISC 2004, 2004, 3070 : 518 - 525
  • [5] Intuitionistic fuzzy value similarity measures for intuitionistic fuzzy sets
    Zichun Chen
    Penghui Liu
    Computational and Applied Mathematics, 2022, 41
  • [6] On non-monotonic fuzzy measures of Phi-bounded variation
    Jang, LC
    Kwon, JS
    FUZZY SETS AND SYSTEMS, 1997, 86 (01) : 101 - 106
  • [7] Non-fuzzy sets for intuitionistic fuzzy sets
    Tuan, Han-Wen
    Chao, Henry Chung-Jen
    JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, 2018, 21 (7-8): : 1509 - 1514
  • [8] Systems on intuitionistic fuzzy special sets and intuitionistic fuzzy special measures
    Coskun, E
    INFORMATION SCIENCES, 2000, 128 (1-2) : 105 - 118
  • [9] Characterizing non-monotonic fuzzy relations
    S. Cubillo
    E. Trillas
    Soft Computing, 1997, 1 (4) : 162 - 165
  • [10] Roughness measures of intuitionistic fuzzy sets
    Zhou, Lei
    Zhang, Wen-Xiu
    Wu, Wei-Zhi
    ROUGH SETS AND KNOWLEDGE TECHNOLOGY, 2008, 5009 : 308 - +