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Properties of the possibility distribution parameters of the expected value of a weighted sum of fuzzy random variables
Yu. E. Egorova Tver State University, Tver
Abstract:
The paper studies properties of the parameters of the possibility distribution of the expected value of a linear function of fuzzy random variables in the case when fuzzy parameters are related by the weakset (drastic) $t$-norm. Criteria of existence and continuity of coefficients of fuzzines are presented.
Keywords:
fuzzy random variable, the expected value of fuzzy random variable, the weakest $t$-norm, weighted sum of fuzzy random variables, possibilistic-probabilistic optimization.
Received: 15.05.2018 Revised: 20.06.2018
Citation:
Yu. E. Egorova, “Properties of the possibility distribution parameters of the expected value of a weighted sum of fuzzy random variables”, Nechetkie Sistemy i Myagkie Vychisleniya, 13:1 (2018), 81–93
Linking options:
https://www.mathnet.ru/eng/fssc42 https://www.mathnet.ru/eng/fssc/v13/i1/p81
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