DEFINITION 1.1. A fuzzy variable is characterized by a triple (X, U, R (X;u)). in which X is the name of the variable; U is a universe of discourse (finite or infinite set); u is a generic name for the elements of U; and R(X;u) is a fuzzy subset of U which represents a fuzzy restriction on the values of u imposed by X. [As in the case of nonfuzzy variables, R(X;u) will usually be abbreviated to...

This paper studies three notions of fuzzy dominance based on credibility measure, namely, the fuzzy mean-risk dominance, the first credibilistic dominance and the second credibilistic dominance. More precisely, we introduce and examine some properties of the Fuzzy Lower Partial Moments (FLPM) of a fuzzy variable and, we deduce the Fuzzy Kappa index (FK) of a fuzzy variable, that is, a riskadjus...

Lawrence O. Hall Dept. of Computer Science and Engineering, ENB 118 University of South Florida Tampa, Fl. 33620 [email protected] Abstract A fuzzy expert system must do rule chaining differently than a non-fuzzy expert system. In particular, any rule that can fire with a particular linguistic variable in its consequent must fire before any rule whose antecedent conditions depend upon the resul...

A random variable is a whose components are values. To characterise variable, the arithmetic mean widely used as an estimate of location parameter, and variation scale parameter. The disadvantage that it sensitive to extreme values, outliers in data. Due that, variables, robust estimates parameters used: median absolute deviation from median. In real situations, cannot always be estimated deter...