Finding fuzzy optimal and approximate fuzzy optimal solution of fully fuzzy linear programming problems with trapezoidal fuzzy numbers

Article type: Research Article

Authors: Ozkok, Beyza Ahlatcioglu^{; *}

Affiliations: Department of Mathematics, Yildiz Technical University, Davutpasa, Istanbul, Turkey

Correspondence: [*] Corresponding author. B. A. Ozkok, Tel.: +90(212)3834372; Fax: +90(532)0552913; E-mail: bahlat@yildiz.edu.tr.

Abstract: Linear Programming (LP) is an optimization problem, which deals with finding optimal solutions under set of linear inequality or linear equality constraints. Fuzzy Linear Programming (FLP) and Fuzzy Linear Programming problems (FFLP) have gained great importance in recent years due to the uncertainties that may arise in the parameters and variables of the problems. In this paper we provided an extension to Ozkok et al. [Ozkok, B. A., Albayrak, I., Kocken, H. G., & Ahlatcioglu, M. (2016). An approach for finding fuzzy optimal and approximate fuzzy optimal solution of fully fuzzy linear programming problems with mixed constraints. Journal of Intelligent & Fuzzy Systems, 31(1), 623-632.] to find fuzzy optimal and approximate fuzzy optimal solution of FFLP with trapezoidal fuzzy numbers.

Keywords: Fully fuzzy linear programming problem (FFLP), trapezoidal fuzzy numbers, ranking function, infeasibility

DOI: 10.3233/JIFS-18016

Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 2, pp. 1389-1400, 2019