R. N. Gordeev, A. V. Yazenin, “Possibility distribution of expected value of <nobr>$ T_W $</nobr>-sum of fuzzy random variables”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2012, Issue 1,Pages <nobr>85

Probabilistic Possibilistic Models

Possibility distribution of expected value of $ T_W $-sum of fuzzy random variables

R. N. Gordeev, A. V. Yazenin

Tver State University, Tver

Abstract: In the paper we develop the calculus of fuzzy random variables. An approach to identification of possibilistic distribution of expected value of $T_{W}$-sum of fuzzy random variables. Formulas for evaluating mean values of fuzzy random parameters of parameterized distributions, which are functions of random variables, were obtained.

Keywords: decision-making, fuzzy random variable, weak t-norm, expected value, T-sum of fuzzy random variables.

UDC: 519.6

Received: 12.01.2012
Revised: 20.01.2012