Mediative Fuzzy Extension Technique and Its Consistent Measurement in the Decision Making of Medical Application

Author:

Sharma M. K.1ORCID,Dhiman Nitesh1,Mishra Lakshmi Narayan2ORCID,Mishra Vishnu Narayan3ORCID,Sahani Suresh Kumar45

Affiliation:

1. Department of Mathematics, C.C.S. University, Meerut-250004, India

2. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT) University, Vellore 632014, Tamil Nadu, India

3. Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, Madhya Pradesh 484 887, India

4. Department of Mathematics, MIT Campus, T.U, Janakpurdham, Nepal

5. Department of Mathematics, Rajarshi Janak Campus, T.U, Janakpurdham 45600, Nepal

Abstract

The notion of fuzzy set theory has not so far been districted over medical diagnosis. There are some added applications, for example, in image processing, pattern identification, and many medical devices. In this research article, we introduced a new mediative fuzzy ranking technique as the fuzzy extension in decision making. The proposed mediative fuzzy logic-based technique is more relevant and applicable to incomplete and doubtful situations or some contradictions present in the expert knowledge. The value of the contradictory degree for mediative fuzzy sets used in the extension principle is defined. The proposed mediative fuzzy ranking method is easily implemented in the medical field, and the proposed mediative fuzzy extension-based measured technique is useful to medical experts and doctors in many decision-making situations; the entire work is illustrated with numerical examples. We have also given some future aspects of mediative fuzzy extension in the interpretation of type-2 intuitionistic fuzzy sets.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Reference23 articles.

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4. The application of fuzzy set theory to medical diagnosis;W. A. Fordon,1979

5. Fuzzy sets and the modelling of physician decision processes, part I: The initial interview-information gathering session

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