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2010
Linear programming (LP) is a mathematical technique for the optimal allocation of scarce resources to several competing activities on the basis of given criteria of optimality. In conventional LP problems, it is assumed that the data have precise values.
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Linear programming (LP) is a mathematical technique for the optimal allocation of scarce resources to several competing activities on the basis of given criteria of optimality. In conventional LP problems, it is assumed that the data have precise values.
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Spherical Fuzzy Linear Programming Problem
2020The new extension of the uncertain set is presented by Kutlu Gundogdu and Kahraman (J Intell Fuzzy Syst (Preprint):1–16, 2019) and named as a spherical fuzzy set (SFS). The SFS is the superset of fuzzy, intuitionistic fuzzy, and Pythagorean fuzzy sets, respectively (Yager in Pythagorean fuzzy subsets, vol 2. IEEE, pp 57–61, 2013).
Firoz Ahmad, Ahmad Yusuf Adhami
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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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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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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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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
Fuzzy linear programming and applications
European Journal of Operational Research, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fuzzy Multiple Objective Linear Programming
2008In this chapter, first a literature review on the fuzzy multi-objective linear programming (FMOLP) and then its mathematical modeling with an application is given. FMOLP is one of the multi-objective modeling techniques most frequently used in the literature.
Cengiz Kahraman, İhsan Kaya
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Semi-fully Fuzzy Linear Programming
2019Since the fuzziness may appear in many ways for the parameters of linear programming models, hence the definition of fuzzy linear programming is not unique. One of these models is Semi-Fully Fuzzy Linear Programming (SFFLP) problem where the coefficients in the objective function, the right hand side vector and the decision variables are a kind of ...
Seyed Hadi Nasseri +2 more
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