Abstract
The purpose of this article is to present a type of extended optimistic value and pessimistic value (λ-optimistic value and λ-pessimistic value) to fuzzy variable. Firstly, we introduce the concept of the extended optimistic value and pessimistic value to fuzzy variable. Then, the extended optimistic value and pessimistic value to equipossible fuzzy variable, triangular variable and trapezoidal fuzzy variable is showed, respectively. Finally, some properties of this type of extended optimistic value and pessimistic value have been discussed.
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