A Hybrid Algorithm used in Fuzzy Assignment problem

Abstract

An assignment problem is an effective linear programming problem that is used to solve realistic problems in the present market economy to find the best alternative solutions.  The obtained data is imprecise, ambiguous, and vague problems in real-life situations. Thus, the crisp or conventional logic theory is not sufficient for dealing with the complexity, imprecision, and uncertainty of practical day-to-day problems. Thus, the research study explores the fuzzy theory concept. Assignment problem plays a significant role in science, management, and engineering domains. It deals with the assignment of different tasks of various sources and jobs to service facilities for minimization of cost and time and to maximize profit. The role of the Assignment problem is pivotal in the decision-making process of managers, as it is closely connected to challenges involving production planning, scheduling, and engineering design.