Title: A reciprocated result using an approach of multiobjective stochastic linear programming models with partial uncertainty

Authors: Abdulqader Othman Hamadameen; Zaitul Marlizawati Zainuddin

Addresses: Faculty of Science, Department of Mathematical Sciences, UTM, Malaysia ' UTM Center for Industrial and Applied Mathematics, Faculty of Science, Department of Mathematical Sciences, UTM, Malaysia

Abstract: This study focuses on solving multiobjective stochastic linear programming (MSLP) problems with partial information on probability distribution. The method presented in this paper utilises the concept of ranking function and linguistic hedges in the fuzzy transformation stage to take into account the internal values of the probability distribution. An adaptive arithmetic average approach is then used to convert the multiobjective problems into a single objective problem. Comparison of results with existing methods in the literature is presented which shows that the method presented performs as good as the existing methods in terms of solution quality but better in terms of computational effort.

Keywords: multiobjective stochastic programming; stochastic transformation; linguistic hedges; adaptive arithmetic average; reciprocated results; multiobjective programming; stochastic modelling; linear programming; uncertainty; partial information; probability distribution; ranking function; fuzzy transformation.

DOI: 10.1504/IJMOR.2015.070200

International Journal of Mathematics in Operational Research, 2015 Vol.7 No.4, pp.395 - 414

Received: 19 Sep 2013
Accepted: 24 Feb 2014
Published online: 29 Jun 2015 *

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