http://www.iaeme.com/IJMET/index.asp 1282 editor@iaeme.com International Journal of Mechanical Engineering and Technology (IJMET) Volume 10, Issue 2, February 2019, pp; 1282-1287 Article ID: IJMET_10_02_134 Available online at http://www.iaeme.com/ijmet/issues.asp?JType=IJMET&VType=10&IType=2 ISSN Print: 0976-6340 and ISSN Online: 0976-6359 © IAEME Publication Scopus Indexed A FUZZY VAM- DIAGONAL OPTIMAL ALGORITHM TO SOLVE FUZZY ASSIGNMENT PROBLEM S. Dhanasekar School of Advanced Sciences-Mathematics Division, VIT, Chennai Campus – 600 127 A. Manivannan School of Advanced Sciences-Mathematics Division, VIT, Chennai Campus – 600 127 V. Parthiban School of Advanced Sciences-Mathematics Division, VIT, Chennai Campus – 600 127 A.David Maxim Gururaj School of Advanced Sciences-Mathematics Division, VIT, Chennai Campus – 600 127 ABSTRACT In this article we proposed a new algorithm called fuzzy Vogel approximation (VAM) method - Diagonal optimal algorithm for solving Fuzzy Assignment problem. An example is given to illustrate the fuzzy Vogel approximation - diagonal optimal algorithm and result is validated with the existing methods. Keywords: Fuzzy number, triangular fuzzy number, trapezoidal fuzzy number, fuzzy arithmetic Cite this Article; S. Dhanasekar, A. Manivannan V. Parthiban And A.David Maxim Gururaj A Fuzzy Vam- Diagonal Optimal Algorithm To Solve Fuzzy Assignment Problem International Journal of Mechanical Engineering and Technology (IJMET) 10(2), pp;1282-1287 http://www.iaeme.com/ijmet/issues.asp?JType=IJMET&VType=10&IType=2 1. INTRODUCTION Zadeh [20] introduced the fuzzy set theory in the year 1965. Recently, researchers paid much attention in the field of fuzzy theory. It has wide applications fields, like, operations research, control theory, neural networks, management science, finance etc. To minimize the assignment