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Linear programming with fuzzy objectives
Fuzzy Sets and Systems, 1989Some approaches, in terms of fuzzy sets theory, to linear optimization problems with interval valued coefficients are reviewed and one of the authors' proper variant is presented. Advices for the use of the models, but not theorems, proofs or numerical results, are given.
Rommelfanger, Heinrich +2 more
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Interactive fuzzy linear programming
Fuzzy Sets and Systems, 1992The authors present an interesting synthesis of different linear programming techniques, all including fuzziness features of some kind. First, five typical problems are sketched, referring to different authors, illustrating a variety of approaches to fuzziness.
Lai, Young-Jou, Hwang, Ching-Lai
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Fuzzy programming in multiobjective linear programming — a parametric approach
Fuzzy Sets and Systems, 1989Multiobjective linear programming is considered in the frame of a fuzzy approach to the compromise solution concept, in a wider class of membership functions of fuzzy goals than that proposed primarily by Zimmermann. The solution to a problem is obtained as a certain fuzzy subset of the set of weakly efficient solutions of the problem by using a ...
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Fuzzy Linear Programming and Duality
2015The chapter is concerned with linear programming problems whose input data may be fuzzy while the values of variables are always real numbers. We propose a rather general approach to these types of problems, and present recent results for problems in which the notions of feasibility and optimality are based on the fuzzy relations of possibility and ...
Jaroslav Ramík, Milan Vlach
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Duality in Fuzzy Linear Programming
1980In classical duality theory of linear programming the saddlepoint of the Lagrangian is the solution of the max-min problem as well as of the min-max problem. In using the theory of fuzzy sets these problems are interpreted in a new sense — leading to a pair of “fuzzy dual” optimization problems. An economic interpretation is given and properties of the
Wilhelm Rödder, Hans-Jürgen Zimmermann
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Application of Fuzzy Linear Programming in Production Planning
Fuzzy Optimization and Decision Making, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fuzzy Multi-objective Linear Programming
Summary: The paper presents an overview of methods for solving three classes of fuzzy multiobjective linear programming problems: flexible programming, multi-objective linear programming with fuzzy coefficients and flexible multi-objective linear programming with fuzzy coefficients.openaire +2 more sources
Duality Theory in Fuzzy Linear Programming Problems with Fuzzy Coefficients
Fuzzy Optimization and Decision Making, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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