• Dr Ashok Mhaske

The uncertainty plays a vital role in any branch of science and technology, engineering, medical and management. In proposed work new method ranking to order two fuzzy triangular numbers. This new ranking method is used to find the best approximate solution to the fuzzy transportation problem. The objective of the transportation problem is to control the amount to be transported from several origins to several destinations such that the total transportation cost is minimized. But in real-life situations, the available supply and forecast demand are often fuzzy because some information is incomplete or unavailable. In this article, the crisp transportation problem is transformed into a fuzzy transportation problem by using triangular fuzzy numbers. To order any two triangular fuzzy numbers the new and simple method is invented which are based on the area of a rectangle at prominent places using α-cut method at α= 0.5. A computer program was written in Mat-lab which is given in this article to make calculation easier and simple. This article is organized as follows. In section first we introduced new ranking method to compare any two trapezoidal fuzzy numbers. In third section we extend this method to solve fuzzy transportation problem using numerical example, while paper is concluded in the last section.

Ranking, Rectangle, Triangular, Fuzzy Number, Fuzzy Transportation

"Ranking Triangular Fuzzy Numbers Using Area of Rectangle At Different Level Of α-Cut for Fuzzy Transportation Problem ", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.8, Issue 3, page no.2202-2209, March-2021, Available :http://www.jetir.org/papers/JETIR2103273.pdf

"Ranking Triangular Fuzzy Numbers Using Area of Rectangle At Different Level Of α-Cut for Fuzzy Transportation Problem ", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.8, Issue 3, page no. pp2202-2209, March-2021, Available at : http://www.jetir.org/papers/JETIR2103273.pdf