The Scalar Mean Chance and Expected Value of Regular Bifuzzy Variables

As a natural extension of the fuzzy variable, bifuzzy variable is defined as mapping from credibility space to collection variables, which an appropriate tool model two-fold phenomena. In order enrich its theoretical foundation, this paper explores some important measures for regular most commonly used type variables. Firstly, we introduce variables’ mean chance measure and properties, including self-duality calculation formulas. Furthermore, also investigate distribution strictly monotone functions variables based on proposed operational law. Finally, present expected value operator well equivalent analytical formulas their functions.