A new approach to solve fully fuzzy transportation problem using triangular fuzzy number. (2016)

• Record Type: Journal Article
• Authors: Chakraborty, Dipankar; Jana, Dipak Kumar; Roy, Tapan Kumar
• Is Part Of: International journal of operational research. Volume 26:Number 2(2016)
• Page Start: 153
• Page End: 179
• Publication Date: 2016
• Subjects: fully fuzzy transportation problem -- FFTP -- triangular fuzzy numbers -- generalised Hukuhara difference: fuzzy variables; Operations research -- Periodicals; 003.05
• Languages: English
• ISSNs: 1745-7645

Abstract

In the literature, there are several methods for finding a fuzzy optimal solution to fully fuzzy transportation problems (FFTP). In this paper, a new approach is proposed for solving a fully fuzzy transportation problem. Assuming that the transportation cost, total supply, total demands and also the transportation amount are imprecise in nature. The proposed approach is an extension of popular approach of solving transportation problem (i.e., North West corner method, least cost method, Vogel's approximation method, modified distribution method). The proposed methods are easy to understand and to apply for finding a fuzzy optimal solution to fuzzy transportation problems happening in real-life situations. To illustrate the proposed methods, a fully fuzzy transportation problem is solved using the proposed methods and the obtained results are compared with the results of existing approaches like Kumar's method (Kumar and Singh, 2012) and Ezzati method (Ezzati et al., 2013).