Title: Optimal solution of fractional programming problem based on solid fuzzy transportation problem

Authors: S. Narayanamoorthy; P. Anukokila

Addresses: Department of Applied Mathematics, Bharathiar University, Coimbatore 641046, India ' Department of Applied Mathematics, Bharathiar University, Coimbatore 641046, India

Abstract: In this paper, we mainly investigate the fractional solid transportation problem, in which the supplies, the demands and the conveyance capacities are supposed to be fuzzy variables. Moreover, the crisp equivalences are also discussed for different models. The optimality for a transportation problem using duality and fuzzy fractional programming approach is studied. Numerical example is provided to illustrate the problem.

Keywords: fractional solid transport problem; fuzzy fractional programming; duality theory; supplies; demand; conveyance capacities; fuzzy variables; fuzzy logic; optimisation.

DOI: 10.1504/IJOR.2015.065936

International Journal of Operational Research, 2015 Vol.22 No.1, pp.91 - 105

Received: 08 Oct 2012
Accepted: 09 Mar 2013

Published online: 09 May 2015 *

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