An Efficient Algorithm to Obtain the Optimal Solution for Fuzzy Transportation Problems

  IJCOT-book-cover
 
International Journal of Computer & Organization Trends (IJCOT)          
 
© 2014 by IJCOT Journal
Volume - 4 Issue - 1
Year of Publication : 2014
Authors : S.Krishna Prabha , S.Devi , S.Deepa
  10.14445/22492593/IJCOT-V4P309

MLA

S.Krishna Prabha , S.Devi , S.Deepa, "An Efficient Algorithm to Obtain the Optimal Solution for Fuzzy Transportation Problems", International Journal of Computer & organization Trends  (IJCOT), V4(1):17-21 Jan - Feb 2014, ISSN:2249-2593, www.ijcotjournal.org. Published by Seventh Sense Research Group.

Abstract—In this paper we solve the Fuzzy Transportation problems by using a new algorithm namely EAVAM . We introduce an approach for solving a wide range of such problems by using a method which applies it for ranking of the fuzzy numbers. Some of the quantities in a fuzzy transportation problem may be fuzzy or crisp quantities. In many fuzzy decision problems, the quantities are represented in terms of fuzzy numbers. Fuzzy numbers may be normal or abnormal, triangular or trapezoidal or any LR fuzzy number. Thus, some fuzzy numbers are not directly comparable. First, we transform the fuzzy quantities as the cost, coefficients, supply and demands, into crisp quantities by using our method and then by using the EAVAM, we solve and obtain the solution of the problem. The new method is systematic procedure, easy to apply and can be utilized for all types of transportation problem whether maximize or minimize objective function. Finally we explain this method with a numerical example.

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Keywords
Optimization, Transportation problem, ranking of fuzzy numbers, Fuzzy sets, Fuzzy transportation problem.