Open Access

ARTICLE

Optimal Solution of Fuzzy Transportation Problem Using Octagonal Fuzzy Numbers

D. Gurukumaresan^1,*, C. Duraisamy¹, R. Srinivasan²

1 Department of Mathematics, Kongu Engineering College, Erode, 638060, India
2 Department of Ancient Science, Faculty of Science, Tamil University, Thanjavur, 613010, India

* Corresponding Author: D. Gurukumaresan. Email:

Computer Systems Science and Engineering 2021, 37(3), 415-421. https://doi.org/10.32604/csse.2021.014130

Received 01 September 2020; Accepted 13 January 2021; Issue published 08 March 2021

Abstract

In this paper a fuzzy transportation problem under a fuzzy environment is solved using octagonal fuzzy numbers. The transportation problem is significant and has been widely studied in the field of applied mathematics to solve a system of linear equations in many applications in science. Systems of concurrent linear equations play a vital major role in operational research. The main perspective of this research paper is to find out the minimum amount of transportation cost of some supplies through a capacitated network formerly the availability and the demand notes are octagonal fuzzy numbers. Octagonal fuzzy numbers are used and showed a membership function. To illustrate this method, a fuzzy transportation problem is solved by using octagonal fuzzy numbers using the ranking technique. It is shown that it is the best optimal solution and it is demonstrated with a numerical example.

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Keywords

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