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Titlebook: Stochastic Versus Fuzzy Approaches to Multiobjective Mathematical Programming under Uncertainty; Roman Slowinski,Jacques Teghem Book 1990

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Multiobjective Stochastic Linear Programming with Incomplete Information: A General Methodologymany real situations, however, parameters of a stochastic nature arise and the analyst is, as a result, confronted with a stochastic multiobjective linear programming problem. Recently, some methods have been developed to deal with this kind of problems; in most of them, the decision maker is suppos
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Computation of Efficient Solutions of Stochastic Optimization Problems with Applications to Regressi (or loss) arising from the deviation between the output A(.)x of a stochastic linear system x→A(.)x and a desired stochastic target vector b(.) are minimal. Hence, one has the following stochastic linear optimization problem . where u is a convex loss function on IR., (A(.),b(.)) is a random (m,n+1
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Interactive Decision Making for Multiobjective Programming Problems with Fuzzy Parametersameters. On the basis of the .-level sets of the fuzzy numbers, the concept of .-multiobjective programming and (local) M-.-Pareto optimality is introduced. Through the interaction with the decision maker (DM), the fuzzy goals of the DM for each of the objective functions in .-multiobjective program
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A Possibilistic Approach for Multiobjective Programming Problems. Efficiency of Solutionsore particularly in Multiobjective Programming. Such methods appear without common relation as each of them arises from a particular and suitable set of hypotheses about factors such that the framework of the problem, its nature, decision-maker’s behavior, etc. In this paper we present a general for
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Multiple Objective Linear Programming Problems in the Presence of Fuzzy Coefficientslinear program. Concepts of satisfying solutions based on the bounded rationality principle are introduced, and necessary and sufficient conditions for a potential action to be a satisfying one are established. Efficient methods for singling out satisfying alternatives are also described together wi
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