Journal Article

·2019

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

Beyza Ahlatcıoğlu Özkök YTU

Journal of Intelligent & Fuzzy Systems

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

Fuzzy transportation Fuzzy number Fuzzy set operations Mathematics Fuzzy logic Mathematical optimization Linear programming Defuzzification Fuzzy classification Fuzzy mathematics Linear-fractional programming Fuzzy set Neuro-fuzzy Type-2 fuzzy sets and systems Fuzzy control system Computer science Artificial intelligence

Subject Areas

Optimization and Mathematical Programming ·Control and Systems Engineering ·Physical Sciences
Multi-Criteria Decision Making ·Management Science and Operations Research ·Social Sciences
Fuzzy Systems and Optimization ·Statistics and Probability ·Physical Sciences

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