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Fuzzy linear programming problems with fuzzy numbers
Fuzzy Sets and Systems, 1984zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tanaka, H., Asai, K.
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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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2002
Most frequent mathematical programming problems are linear programming problems. In this chapter we are concerned with fuzzy linear programming problem related to linear programming problems in the following form.
Jaroslav RamĂk, Milan Vlach
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Most frequent mathematical programming problems are linear programming problems. In this chapter we are concerned with fuzzy linear programming problem related to linear programming problems in the following form.
Jaroslav RamĂk, Milan Vlach
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Media Selection and Fuzzy Linear Programming
Journal of the Operational Research Society, 1978Mathematical Programming models have been suggested as a tool for optimal media selection. In order to accommodate several objective functions goal programming models have been put forward. It seems, however, that these models are not yet operational and efficient enough to be used in practice.
Wiedey, G., Zimmermann, H.-J.
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Using fuzzy numbers in linear programming
IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 1997Managers, decision makers, and experts dealing with optimization problems often have a lack of information on the exact values of some parameters used in their problems. To deal with this kind of imprecise data, fuzzy sets provide a powerful tool to model and solve these problems.
J M, Cadenas, J L, Verdegay
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2013
In 1976, Zimmermann first introduced fuzzy set theory into linear programming problems. He considered linear programming problems with a fuzzy goal and fuzzy constraints. Following the fuzzy decision proposed by Bellman and Zadeh (1970) together with linear membership functions, he proved that there exists an equivalent linear programming problem.
Masatoshi Sakawa +2 more
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In 1976, Zimmermann first introduced fuzzy set theory into linear programming problems. He considered linear programming problems with a fuzzy goal and fuzzy constraints. Following the fuzzy decision proposed by Bellman and Zadeh (1970) together with linear membership functions, he proved that there exists an equivalent linear programming problem.
Masatoshi Sakawa +2 more
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Fuzzy solution in fuzzy linear programming problems
IEEE Transactions on Systems, Man, and Cybernetics, 1984Conventional mathematical programming problems are to maximize an objective function subject to constraints. In the real decision problems, however, a satisfaction criterion might be more useful than a criterion of maximizing an objective function in making the decision under fuzzy constraints.
Tanaka, Hideo, Asai, Kiyoji
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Fuzzy relation linear programming
2009 IEEE International Conference on Granular Computing, 2009In this paper, firstly, we present fuzzy relation linear programming with fuzzy objective coefficients, it is expanded to conventional fuzzy relation linear programming with crisp objective coefficients. Secondly, a solution procedure is given based on a norm of trapezoid fuzzy number. And finally, A numerical example is given for illustration purpose.
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Fuzzy linear programs with trapezoidal fuzzy numbers
Annals of Operations Research, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ganesan, K., Veeramani, P.
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Multiobjective fuzzy linear programming problems with fuzzy decision variables
European Journal of Operational Research, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stanciulescu, C. +3 more
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