Type-2 Duality Triangular Fuzzy Fractional Transportation Problem using Goal Programming Technique
P. Priyadharshini1, A. Anju2

1P. Priyadharshini*, Department of Mathematics(UA), PSG College of Arts and Science, Coimbatore, India.
2A. Anju, Department of Mathematics, PSG College of Arts and Science, Coimbatore, India.
Manuscript received on February 10, 2020. | Revised Manuscript received on February 20, 2020. | Manuscript published on March 30, 2020. | PP: 1295-1303 | Volume-8 Issue-6, March 2020. | Retrieval Number: E7035018520/2020©BEIESP | DOI: 10.35940/ijrte.E7035.038620

Open Access | Ethics and Policies | Cite | Mendeley
© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)

Abstract: The authors focused goal programming technique for solving type-2 duality fuzzy fractional transportation problem by using interval-valued triangular intuitionistic fuzzy numbers. The proposed method solves three types of models in which variables are taken as type-2 fuzzy variables which have spring up to the fuzzy fractional transportation problem. In these models, duality is applied and a particular type of non-linear membership functions are used to resolve duality fractional transportation problem including fuzzy parameters. A numerical example for examining the performance of the proposed model is envisaged here.
Keywords: Duality, Fractional Transportation problem, Goal Programming, Type-2 Fuzzy set.
Scope of the Article: Computational Techniques in Civil Engineering.