Computer Science ›› 2022, Vol. 49 ›› Issue (11A): 211100242-7.doi: 10.11896/jsjkx.211100242

• Big Data & Data Science • Previous Articles     Next Articles

Fuzzy Random Events and Its Probabilities Based on Axiomatic Fuzzy Sets

XIE Jian-xiang, PAN Xiao-dong, ZHANG Bo   

  1. School of Mathematics,Southwest Jiaotong University,Chengdu 611756,China
  • Online:2022-11-10 Published:2022-11-21
  • About author:XIE Jian-xiang,born in 1994,postgra-duate.His main research interests include fuzzy probability and so on.
    PAN Xiao-dong,born in 1979,associate professor.His main research interests include mathematical basic theory of fuzzy information processing.
  • Supported by:
    National Natural Science Foundation of China(61673320,61976130) and Sichuan Applied Basic Research Program(2020YJ0270).

Abstract: This paper studies the probability of fuzzy random events based on axiomatic fuzzy set,defines fuzzy random events and their corresponding probabilities,discusses some basic properties of probabilities of fuzzy random events,gives the product rule of fuzzy random events probability,and proves the law of total probability of fuzzy random events and Bayes’rule.

Key words: Axiomatic fuzzy sets, Fuzzy random events, Probability, Law of total probability, Bayes’rule

CLC Number: 

  • O236
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