Authors: Stanojević, Bogdana 
Stanojević, Milan
Affiliations: Computer Science 
Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Analytic description of fuzzy set solutions to fuzzy "LP" problems
First page: 425
Last page: 429
Related Publication(s): SYM-OP-IS Proceedings
Conference: SYM-OP-IS 2022, Vrnjačka Banja, 19-22 sept. 2022
Issue Date: 2022
Rank: M63
We aim to solve fuzzy linear programming problems with coefficients expressed by non-negative
trapezoidal fuzzy numbers. Approaching the same class of problems, a recent work from the literature provided a methodology to derive numerical description of the membership function of the optimal fuzzy value of the objective function, and informed on its impossibility to disclose relevant characterization of the optimal fuzzy solutions. We expand that results by proposing analytic descriptions to the fuzzy sets representing the optimal values and solutions through a parametric analysis of the optimal solutions to crisp linear optimization problems. We illustrate our theoretic results through a numerical example recalled from the literature.
Keywords: Fuzzy Linear Programming | Fuzzy Numbers | Extension Principle | Analytic Approach
Publisher: Ekonomski fakultet Univerziteta u Beogradu

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