A Novel Approach to Find Optimum Solution of a Fuzzy TP using Type-2 IFS

Authors

  • Indira Singuluri, N. Ravi Shankar

Abstract

The transportation limitations are not always accurate due to lack of particulars, background conditions, ambiguity in taking decisions etc.  So, it is especially motivating to deal with TP’s namely mathematical programming problems under unreliability. The most excellent mechanism to represent unreliability is fuzzy number. There are some methods to find optimum solution TP using type-2 IFN’s  i.e., capacity and demand are considered as real numbers and the transportation cost from origin to destination is considered as IFS  as product cost per unit.  A new approach to find optimum solution of a fuzzy TP of type-2 make use of ranking function is proposed.  The same existing method is applied to proposed ranking function is relatively give the same result. This method directly provides optimum solution without finding IBFS of a IFTP of type-2. Finally, for the new ranking function illustrated Numerical example.

Published

2020-02-29

Issue

Section

Articles