A new approach to solve travelling salesman problem under fuzzy environment

In this paper a new approach is proposed to solve travelling salesman problem under fuzzy environment. The travelling distance from the city i to city j is considered to be not certain and is taken as triangular fuzzy numbers. In the proposed method a yager’s ranking technique is used to transform fuzzy travelling salesman problem into crisp travelling salesman problem and it is solved by using classical Hungarian method. Numerical examples are given to validate the proposed method.