Online ISSN: 2515-8260

Keywords : ranking of fuzzy numbers

An Approach for Solving FuzzyTransportation Problemusing Ranking function

P.Sagaya Leeli; S.Jone Jayashree; J. Beny

European Journal of Molecular & Clinical Medicine, 2020, Volume 7, Issue 11, Pages 5863-5870

 In this paper we shall study fuzzy transportation problem, and we introduce an approach for solving a wide range of such problem by using a method which apply it for ranking of the fuzzy numbers. Some of the quantities in a fuzzy transportation problem may be fuzzy or crisp quantities In many fuzzy decision problems, the quantities are represented in terms of fuzzy numbers Fuzzy numbers may , triangular or trapezoidal or any LR fuzzy number. Thus,some fuzzy numbers are not directly comparable. First, we transform the fuzzy quantities as the cost, coefficients, supply and demands, in to crisp quantities by using our method and then by using the classical algorithms we solve and obtain the solution of the problem. The new method is a systematic procedure, easy to apply and can be utilized for all types of transportation problem whether maximize or minimize objective function.At the end, this method is illustrated with a numerical example