Abstract

Feasibility of Fuzzy New Method in finding Initial Basic Feasible Solution for a Fuzzy Transportation Problem

Althada Ramesh Babu1 & 2* and B. Rama Bhupal Reddy3

1Research Scholar, Department of Mathematics, JNTUA, Ananthapuramu, Andhra Pradesh, INDIA. 2Associate Professor, Department of Mathematics, Sasi Institute of Technology & Engineering, Tadepalligudem, W.G.Dt, Andhra Pradesh, Pincode 534101- INDIA. 3Professor, Department of Mathematics, KSRM College of Engineering, Kadapa, Andhra Pradesh, INDIA.

DOI : http://dx.doi.org/10.29055/jcms/976

ABSTRACT

The fuzzy transportation problem can be transformed into crisp problem using Robust Ranking method. It is solved by using four methods; Fuzzy Vogel Approximation Method, Fuzzy New Method, Fuzzy Zero Suffix Method and Fuzzy Monalisha Approximation Method. The above methods are used to find the Initial Basic Feasible Solution in terms of fuzzy numbers. The solution procedure is illustrated with a numerical example.

Keywords :Trapezoidal fuzzy number; fuzzy transportation problem; Robust Ranking; Initial basic feasible solution.

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