Convex fuzzy random variables |
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| Authors: | William E. Stein Kirit Talati |
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| Affiliation: | Department of Mathematics, Texas Christian University, Forth Worth, TX 76129, U.S.A. |
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| Abstract: | A theory of fuzzy random variables is developed that applies to situations involving both randomness and fuzziness. The use of membership functions that are quasi-concave play an important role in the theory. The expectation of a fuzzy random variable is a fuzzy variable (fuzzy set). The usual linearity properties of probabilistic expectation carry over to fuzzy random variables. A special case of a fuzzy Law of Large Number is proven. |
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| Keywords: | Fuzzy variables Fuzzy numbers Decision-making Quasi-concave functions Generalized random variables |
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