International Journal of Mathematics Trends and Technology
Volume 66 | Issue 6 | Year 2020 | Article Id. IJMTT-V66I6P522 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I6P522
The transportation problem is a special type of linear programming problem where the objective consists in minimizing transportation cost of a given commodity from a number of sources or origins to a number of destinations. We have various methods to optimize the transportation cost. In this paper we are going to take demands and supply as Intuitionistic Fuzzy Number (IFN) and find the initial basic feasible solution by applying Vogel’s approximation method in terms of Intuitionistic Fuzzy Number.
[1] Atanassova K.T(9186), Intuitionistic Fuzzy Set, Fuzzy sets and system, Vol.20, pp.87-96.
[2] Ismail Mohideen.S, Senthil kumar.P(2010), A Comparative study o Transformation problem in Fuzzy environment, International Journal of Mathematics Research; Vol.2 No.1, pp.151-451.
[3] Kaufmann. A, Gupta.M(1991), Introduction to fuzzy arithmetic Theory and applications, Van Nostrand Reinhold; Newyork.
[4] Nagoor Gani.A(2012), A New Operation on Triangular Fuzzy Number for solving Fuzzy Linear Programming Problem, Vol.6, No.11, 525-532.
[5] Nagoor Gani.A, Abbas., Intuitionistic Fuzzy Transportation Problem, proceedings of the heber international conference pp.445-451.
[6] H.J. Zimmermann, Fuzzy set theory and its applications, Kluwer – Nijhoff, Boston, 1996.
[7] P. Pandian and G. Natarajan., A new Algorithm for finding a fuzzy Optimal solution for Fuzzy Transportation problems, Applied mathematics sciences, Vol.4, 2010, no.2, 79 -90.
K.Ganesan, D.Dheebia, "A Study of Intuitionistic Fuzzy Transportation Problem Using Vogel‟s Approximation Method," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 6, pp. 224-232, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I6P522
PDF 
Abstract 
Keywords 
References 
Citation