Title: A new approach for solving fully fuzzy linear programming problem

Authors: Sapan Kumar Das; T. Mandal; Diptiranjan Behera

Addresses: Department of Mathematics, National Institute of Technology Jamshedpur, Jharkhand 831014, India ' Department of Mathematics, National Institute of Technology Jamshedpur, Jharkhand 831014, India ' Institute of Reliability Engineering, University of Electronic Science and Technology of China, No. 2006, Xiyuan Avenue, West Hi-Tech Zone, Chengdu, Sichuan 611731, China

Abstract: This paper presents the limitations of citeku for solving a fully fuzzy linear programming (FFLP) problem. And accordingly to overcome these limitations a new method has been proposed by using the ranking function. We have considered a FFLP problem with mixed constraints where decision variables are represented by non-negative fuzzy numbers. Triangular convex normalised fuzzy sets are considered for the analysis. To illustrate the applicability and efficiency of the proposed method various numerical examples have been solved and obtained results are discussed.

Keywords: fully fuzzy linear programming; fuzzy optimal solution; triangular fuzzy numbers; ranking function.

DOI: 10.1504/IJMOR.2019.102074

International Journal of Mathematics in Operational Research, 2019 Vol.15 No.3, pp.296 - 309

Received: 15 Dec 2017
Accepted: 23 Mar 2018
Published online: 06 Sep 2019 *

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