An Interactive Approach for Solving Fuzzy Multi-objective Assignment Problems
H. A. Khalifa
Department of Operations Research, Institute of Statistical Studies and Research, Cairo University, Giza, Egypt and Department of Mathematics, College of Arts and Science, Al- Badayee, Qassim University, Saudi Arabia.
M. Al-Shabi *
Department of Management Information System, College of Business Administration, Taibah University, Saudi Arabia.
*Author to whom correspondence should be addressed.
Abstract
This paper aims to study fuzzy multi-objective assignment (F-MOAS) problem. The problem is considered by incorporating trapezoidal fuzzy numbers. Through the α- level sets, the problem under consideration is converted into the corresponding ( α- MOAS). An interactive approach to improve the weights in the Weighted Tchebysheff program is suggested. Then the stability set of the first kind without differentiability corresponding to the resulted solution is determined. A numerical example is given for illustration.
Keywords: Multi-objective assignment problem, fuzzy numbers, interactive decision making, α -efficient solution, parametric study