𝕋-Relative Fuzzy Linear Programming

Kelly Osawaru; Owin Olowu

doi:https://doi.org/10.14445/22315373/IJMTT-V69I9P503

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 69 | Issue 9 | Year 2023 | Article Id. IJMTT-V69I9P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V69I9P503

𝕋-Relative Fuzzy Linear Programming

Kelly Osawaru, Owin Olowu

Received	Revised	Accepted	Published
13 Jul 2023	19 Aug 2023	04 Sep 2023	27 Sep 2023

Abstract

We introduce and develop in this article linear programming in the context of the 𝕋-Relative fuzzy sets that were introduced by Osawaru, Olaleru and Olaoluwa [3]. Here, the objective function and (or) its set of constraints expressed as a function of a parameter (or variable), say time, is considered. By relaxing the pretenses of optimization using a subjective gradation relative to the parameter, we model and obtain optimal solutions by employing the tools of the relative fuzzy membership functions. Thus, fuzzy optimal values obtained are expressed relative to the parameter of control defining the dynamics of the fuzziness. The results of this study generalize the results obtained for fuzzy linear programming in literature.

Keywords

𝕋-Relative fuzzy sets, 𝕋-Relative fuzzy mapping, 𝕋-Relative fuzzy linear programming, Fuzzy sets.

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Citation :

Kelly Osawaru, Owin Olowu, "𝕋-Relative Fuzzy Linear Programming," International Journal of Mathematics Trends and Technology (IJMTT), vol. 69, no. 9, pp. 13-22, 2023. Crossref, https://doi.org/10.14445/22315373/IJMTT-V69I9P503