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.

UDC: 510.676, 519.7

Received: 15.05.2018
Revised: 20.06.2018

DOI: 10.26456/fssc42

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