International Journal of Advanced Research in Engineering and Applied Sciences
  • Year: 2018
  • Volume: 7
  • Issue: 5

A New Technique Applies for Solving Fuzzy Transportation Problem Using Hexagon Number With Alpha Cut Ranking Technique

  • Author:
  • A. N. Mohamad1, Zebider Ayenew2, Tekalign Regasa3
  • Total Page Count: 9
  • Published Online: May 1, 2018
  • Page Number: 34 to 42

1Department of Mathematics and Modeling, College of Natural & Computational Sciences, Debre Berhan University, Ethiopia

2Department of Mathematics, College of Natural & Computational Sciences, Debre Berhan University, Ethiopia

3Department of mathematics, College of Natural & Computational Sciences, Debre Berhan University, Ethiopia

Abstract

Transportation Model (TP) is widely used to solve real life problems. Such as scheduling, production, investment, plant’ location, inventory control, personal assignment and many others, so that this model is really not confined to transportation or distribution only: There are many technique to solve TP classically. Under many conditions exact data are inadequate to model in real life situations. Human judgments including preference are often vague and they cannot estimate preferences with an exact numerical data. Ranking fuzzy numbers is an important tool in decision making. In fuzzy decision analysis fuzzy quantities are used to describe the performance of alternatives in modeling a real world problem. In this article using Robust's Technique, to find the least transportation cost of some commodities.We introduce a new approach (method) solving TP using hexagon Number with Alpha – cut for ranking technique and given suitable numerical example

Keywords

Hexagon Number, Robust ranking technique, Matrix – Minima, Optimum Utilization, Fuzzy Linear Programming Problem