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Expected Value of Fuzzy Random Variables

Indarsih, Widodo, Rini Indrati

Abstract


In this paper, we present some characteristics of the fuzzy random variables (FRV). We start define the discrete FRV and the continuous FRV. Then,we define the expected values of discrete and continuous FRV. We let all fuzzy variables that have piecewise continuous membership functions. In the continuous FRV case, we give two assumptions and we use similar fuzzy variables. The expected value on FRV is defined based on the expected value
on the alpha level. We have three theorems about the expected value of FRV.

Keywords


fuzzy number, fuzzy random variables, expected value.

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