A balanced solution of a fuzzy soft set based decision making problem in medical science |
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Authors: | Tanushree Mitra Basu Nirmal Kumar Mahapatra Shyamal Kumar Mondal |
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Affiliation: | 1. Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore 721102, WB, India;2. Department of Mathematics, Panskura Banamali College, Panskura RS 721152, WB, India |
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Abstract: | The purpose of this paper is two folded. Firstly, the concept of mean potentiality approach (MPA) has been developed and an algorithm based on this new approach has been proposed to get a balanced solution of a fuzzy soft set based decision making problem. Secondly, a parameter reduction procedure based on relational algebra with the help of the balanced algorithm of mean potentiality approach has been used to reduce the choice parameter set in the parlance of fuzzy soft set theory and it is justified to the problems of diagnosis of a disease from the myriad of symptoms from medical science. Moreover the feasibility of this proposed method is demonstrated by comparing with Analytical Hierarchy Process (AHP), Naive Bayes classification method and Feng's method. |
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Keywords: | Soft set Fuzzy soft set (FSS) Choice value Balanced solution Mean potentiality approach (MPA) Parameter reduction |
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