An Optimized Approach to Solve Assignment Problems Using the Fuzzy Hungarian Method

Fuzzy Set, Pentagonal Fuzzy Number, Fuzzy Assignment Problem (FAP), Pentagonal Ranking Function, Hungarian Method.

Authors

  • Amit Kumar Nandan Research Scholar, Department of Mathematics, B. R. A. Bihar University, Muzaffarpur, Bihar, India
  • J. P. Tripathi Department of Mathematics, R.N. College, Hajipur, B. R. A. Bihar University, Muzaffarpur, Bihar, India
  • V. K. Tiwari Department of Commerce, Government Degree College Sukrauli, Kushinagar, U.P., India
July 19, 2024

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The assignment method assigns a particular (employee) to a particular (work) "Assuming an equal number of jobs and workers." In this paper, we are introducing a pentagonal ranking method by which we can convert the cost values (Fuzzy numbers) of the Fuzzy Assignment Problem (FAP) into crisp values. By the Hungarian method, we can optimize the cost of the FAP. A numerical value illustrates the method.