FUZZY IMPLICATION OPERATORS AND GENERALIZED FUZZY METHOD OF CASES

被引:78
|
作者
RUAN, D [1 ]
KERRE, EE [1 ]
机构
[1] STATE UNIV GHENT,B-9000 GHENT,BELGIUM
关键词
GENERALIZED COMPOSITIONAL RULE OF INFERENCE; TRIANGULAR NORM; METHOD-OF-CASES; FUZZY IMPLICATION OPERATOR;
D O I
10.1016/0165-0114(93)90357-N
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
This paper is an extension of our previous work [4] on the influence of the fuzzy implication operator on the method-of-cases inference rule. Firstly, we test some widely used fuzzy implication operators with respect to the recently introduced Smets-Magrez axioms [8]. Secondly, using an extension of a triangular norm to n arguments, a unified generalization of Zadeh's compositional rule of inference is presented. Finally, this extension is applied to a generalization of the method-of-cases under the above fuzzy implication operators.
引用
下载
收藏
页码:23 / 37
页数:15
相关论文
共 50 条
  • [1] A Generalized Method for Fuzzy Implication Selection
    Pagouropoulos, Panagiotis
    Tzimopoulos, Christos D.
    Papadopoulos, Basil K.
    INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017), 2018, 1978
  • [2] ON FUZZY IMPLICATION OPERATORS
    FODOR, JC
    FUZZY SETS AND SYSTEMS, 1991, 42 (03) : 293 - 300
  • [3] FUZZY POWER SETS AND FUZZY IMPLICATION OPERATORS
    BANDLER, W
    KOHOUT, L
    FUZZY SETS AND SYSTEMS, 1980, 4 (01) : 13 - 30
  • [4] GENERALIZED FUZZY METHOD-OF-CASES
    YUAN, B
    PAN, Y
    INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 1993, 9 (02) : 129 - 138
  • [5] Implication operators in fuzzy logic
    Ying, MS
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2002, 10 (01) : 88 - 91
  • [6] Fuzzy Rough Sets Determined by Fuzzy Implication Operators
    Wu, Wei-Zhi
    2009 IEEE INTERNATIONAL CONFERENCE ON GRANULAR COMPUTING ( GRC 2009), 2009, : 596 - 601
  • [7] GENERALIZED ATANASSOV'S INTUITIONISTIC FUZZY INDEX. CONSTRUCTION OF ATANASSOV'S FUZZY ENTROPY FROM FUZZY IMPLICATION OPERATORS
    Bustince, Humberto
    Barrenechea, Edurne
    Pagola, Miguel
    Fernandez, Javier
    Guerra, Carlos
    Couto, Pedro
    Melo-Pinto, Pedro
    INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2011, 19 (01) : 51 - 69
  • [8] Inclusion grade and fuzzy implication operators
    Burillo, P
    Frago, N
    Fuentes, R
    FUZZY SETS AND SYSTEMS, 2000, 114 (03) : 417 - 429
  • [9] Learning fuzzy rules with their implication operators
    Serrurier, Mathieu
    Dubois, Didier
    Prade, Henri
    Sudkamp, Thomas
    DATA & KNOWLEDGE ENGINEERING, 2007, 60 (01) : 71 - 89
  • [10] About intuitionistic fuzzy implication operators
    Bustince, H
    Burillo, P
    Mohedano, V
    PROCEEDINGS OF THE 6TH JOINT CONFERENCE ON INFORMATION SCIENCES, 2002, : 109 - 112