Title: A random fuzzy multi-objective linear programming approach through possibility theory

Authors: Javad Nematian

Addresses: Department of Industrial Engineering, Faculty of Mechanical Engineering, University of Tabriz, P.O. Box 51666-14766, Tabriz, Iran

Abstract: This paper presents new methods for a multi-objective linear programming (MOLP) problem with random fuzzy variables (RFVs). First, a robust MOLP problem is introduced in which the coefficients of objective functions and constraints are RFVs. Then, the proposed problem is transformed into deterministic linear programming problems by new methods based on the idea of possibility theory and the random fuzzy chance-constrained programming. These methods can satisfy optimistic and pessimistic decision makers separately and simultaneously. Finally, an example is also solved to clarify the discussed methods. [Received 13 June 2013; Revised 24 November 2013; Revised 5 April 2014; Accepted 20 April 2014]

Keywords: multi-objective linear programming; MOLP; random fuzzy variables; RFVs; random fuzzy CCP; chance-constrained programming; RFCCP; possibility theory.

DOI: 10.1504/EJIE.2015.070323

European Journal of Industrial Engineering, 2015 Vol.9 No.4, pp.512 - 537

Published online: 02 Jul 2015 *

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