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In this study, based on the random fuzzy theory, the random fuzzy multiobjective programming (RFMOP) problems are presented. We first consider its expected value model, and investigated its convexity. Then the expected-value efficient solution and the expected-value wake efficient solution are defined. To solve the RFMOP problem, the method of main objective function are proposed, whose theoretical...
In this paper, based on bifuzzy theory, a new class of two-stage bifuzzy programming model is presented. Since the convex analysis plays an important role in the studies of optimization, this paper discuss some fundamental properties of two-stage bifuzzy programming, including the convexity of feasible set as well as convexity of objective function, which facilitated us to design algorithms to solve...
Based on fuzzy random theory, a new class of two-stage fuzzy random model is studied in this paper. In case of general recourse matrix, some fundamental properties of two-stage fuzzy random programming are discussed, including the convexity of feasible set as well as convexity of objective function.
In this paper, we discuss the properties of the fuzzy number functions that are the Zadeh extension of usual real-valued power functions on fuzzy number space. The continuity, monotonicity, convexity (or concavity), G-differentiability and the integral over directed line segment of the fuzzy number functions are characterized with the corresponding analytical properties of usual real-valued power...
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