Title: A new approach to solve fully fuzzy transportation problem using triangular fuzzy number

Authors: Dipankar Chakraborty; Dipak Kumar Jana; Tapan Kumar Roy

Addresses: Department of Applied Science, Haldia Institute of Technology, Haldia, Purba Midnapur – 721657, West Bengal, India ' Department of Applied Science, Haldia Institute of Technology, Haldia, Purba Midnapur – 721657, West Bengal, India ' Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah – 711103, West Bengal, India

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).

Keywords: fully fuzzy transportation problem; FFTP; triangular fuzzy numbers; generalised Hukuhara difference: fuzzy variables.

DOI: 10.1504/IJOR.2016.076299

International Journal of Operational Research, 2016 Vol.26 No.2, pp.153 - 179

Received: 17 Feb 2014
Accepted: 05 Apr 2014
Published online: 01 May 2016 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article