Title: A novel approach for solving fully intuitionistic fuzzy transportation problem

Authors: Sujeet Kumar Singh; Shiv Prasad Yadav

Addresses: Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667, India ' Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667, India

Abstract: In general, fuzzy numbers are used to study the transportation problem. In this article, fully fuzzy transportation problem is extended to fully intuitionistic fuzzy transportation problem. We formulate the transportation problem in which costs, supplies and demands all are triangular intuitionistic fuzzy numbers. Intuitionistic fuzzy methods are proposed to find starting basic feasible solution in terms of triangular intuitionistic fuzzy numbers. Intuitionistic fuzzy modified distribution method is proposed to find optimal solution. Then the method is illustrated by a numerical example.

Keywords: triangular intuitionistic fuzzy numbers; TIFN; transport problem; score function; accuracy function; optimisation.

DOI: 10.1504/IJOR.2016.077684

International Journal of Operational Research, 2016 Vol.26 No.4, pp.460 - 472

Received: 02 Nov 2013
Accepted: 31 May 2014
Published online: 13 Jul 2016 *

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