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Fuzzy Multi-Criteria Assignment Problems Using Two-Dimensional Fuzzy Soft Set Theory
Abstract
In this chapter, author has introduced a new concept of two-dimensional fuzzy soft sets together with various operations, properties and theorems on them. Then, an algorithm named 2-DFS has been developed for solving fuzzy multi-criteria assignment problems with multiple decision makers. The performance of this newly proposed method is verified by the popular Hungarian Method in case of solving fuzzy assignment problems with single criterion and single decision maker. By Hungarian Method, one may only solve fuzzy assignment problems with single criterion and single decision maker, in the contrary the advantage of our 2-DFS Algorithm is that by it, any fuzzy assignment problem with any number of criteria and any number of decision makers can be solved effectively. At last,2- DFS Algorithm is applied for solving fuzzy multi-criteria assignment problems in medical science to evaluate the effectiveness of different modalities of treatment of a disease.
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