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Assignment problems (AP) are well-known topics in engineering and management science and are used frequently to analyze problems. A linear programming problem form was used in transforming assignment problem for crisp problem and in solving as per Hungarian methodology. Assigning n objects over m objects is an exciting problem that arises in different situations. Here we explore the optimal ways for assigning in n objects over m other objects. Numerous numerical applications are needed in production planning, Sales proportions, airline operators, etc. The existing Hungarian methods and maximized (or minimized) assignment methods have been solved using these methods. Entry details in the cost matrix are not always clear. This parameter is uncertain in many applications, and these uncertain parameters are represented by intervals. To solve interval linear assignment problems, we present interval Hungarian method and interval analysis concept. [ABSTRACT FROM AUTHOR]

Now a days Assignment problems were widely applied in the field of manufacturing sectors, production planning, etc to earn more profit with minimum inventory. Generally Fuzzy Numbers plays a vital role in many decision making problems. Here an optimal solution of the assignment problem had been derived from Hungarian method. The parameters were being given by using Heptagonal fuzzy numbers which are further decomposed into pentagonal fuzzy numbers. The fuzzy numbers were defuzzfied into real numbers by using pascal's graded mean technique. Numerical example had been given to illustrate the solution procedure. [ABSTRACT FROM AUTHOR]

Assignment problems were widely applied in the field of production planning, telecommunication VLSI design, economic etc. Generally Fuzzy Numbers plays a vital role in many decision making problems. Here an optimal solution of the assignment problem had been derived from Hungarian method. The parameters were being given by using pentagonal fuzzy numbers which are further decomposed into triangular fuzzy numbers. The fuzzy numbers were defuzzfied into real numbers by using pascal's graded mean technique. Numerical example had been given to illustrate the solution procedure. [ABSTRACT FROM AUTHOR]