Generalized ranking function for all symmetric fuzzy linear programming problems

Article type: Research Article

Authors: Muralidaran, C.^{; *} | Venkateswarlu, B.

Affiliations: Department of Mathematics, School of Advanced sciences, Vellore Institute of Technology, Vellore, India

Correspondence: [*] Corresponding author. C. Muralidaran, Department of Mathematics, School of Advanced sciences, Vellore Institute of Technology, Vellore-632 014, India. E-mail: [email protected].

Abstract: In this paper the generalized symmetric fuzzy numbers are brought into the knowledge and a new ranking function was proposed for it. Using this ranking function, any kind of fuzzy linear programming problem can be solved. The proposed ranking function is illustrated by the numerical example. Moreover, Comparison of optimal solution of proposed and existing methods are discussed. The proposed method is posing no difficulty to understand and execute the fuzzy optimal solution of a symmetric fuzzy linear programming problem in real world situations.

Keywords: Symmetric fuzzy valued linear programming problems, Generalized fuzzy numbers, Generalized membership function, Generalized ranking function.

DOI: 10.3233/JIFS-17917

Journal: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 1, pp. 1127-1131, 2018