Abstract: Mukherjee and Basu (Application of fuzzy ranking method for solving assignment
problems with fuzzy costs, International Journal of Computational and Applied Mathematics, 5,
2010, 359-368) proposed a new method for solving fuzzy assignment problems. In this paper,
some fuzzy assignment problems and fuzzy travelling salesman problems are chosen which
cannot be solved by using the fore-mentioned method. Two new methods are proposed for
solving such type of fuzzy assignment problems and fuzzy travelling salesman problems. The
fuzzy assignment problems and fuzzy travelling salesman problems which can be solved by
using the existing method, can also be solved by using the proposed methods. But, there exist
certain fuzzy assignment problems and fuzzy travelling salesman problems which can be solved
only by using the proposed methods. To illustrate the proposed methods, a fuzzy assignment
problem and a fuzzy travelling salesman problem is solved. The proposed methods are easy to
understand and apply to find optimal solution of fuzzy assignment problems and fuzzy travelling
salesman problems occurring in real life situations.