Computer Science ›› 2021, Vol. 48 ›› Issue (11A): 57-62.doi: 10.11896/jsjkx.201200140

• Intelligent Computing • Previous Articles     Next Articles

Fuzzy Reasoning Method Based on Axiomatic Fuzzy Sets

KANG Bo, PAN Xiao-dong, WANG Hu   

  1. School of Mathematics,Southwest Jiaotong University,Chengdu 611756,China
  • Online:2021-11-10 Published:2021-11-12
  • About author:KANG Bo,born in 1995,postgraduate.His main research interests include fuzzy reasoning and so on.
    PAN Xiao-dong,born in 1979,associate professor.His main research interests include mathematical basic theory of fuzzy information processing and so on.
  • Supported by:
    National Natural Science Foundation of China(61673320).

Abstract: Based on the axiomatic fuzzy set theory,this paper regards fuzzy reasoning as the mapping between two fuzzy membership spaces,and gives three basic forms of fuzzy reasoning output results by using the composition of input fuzzy sets in fuzzy membership spaces.For strongly negative operators,t-modulus operators and t-comodule operators,the perturbation of these operators in fuzzy membership space is discussed by using Minkowski integral distance,and the continuity of fuzzy reasoning method proposed in this paper is analyzed on this basis.

Key words: Axiomatic fuzzy sets, Continuity, Fuzzy membership space, Fuzzy reasoning, Perturbation

CLC Number: 

  • TP273
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