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

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 ex...

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Main Authors: M. K. Sharma, Nitesh Dhiman, Lakshmi Narayan Mishra, Vishnu Narayan Mishra, Suresh Kumar Sahani
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2021/5530681
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spelling doaj-c3e1c8417fd54d3cbc2e1b985f3b8cf12021-05-10T00:26:14ZengHindawi LimitedMathematical Problems in Engineering1563-51472021-01-01202110.1155/2021/5530681Mediative Fuzzy Extension Technique and Its Consistent Measurement in the Decision Making of Medical ApplicationM. K. Sharma0Nitesh Dhiman1Lakshmi Narayan Mishra2Vishnu Narayan Mishra3Suresh Kumar Sahani4Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsThe 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.http://dx.doi.org/10.1155/2021/5530681
collection DOAJ
language English
format Article
sources DOAJ
author M. K. Sharma
Nitesh Dhiman
Lakshmi Narayan Mishra
Vishnu Narayan Mishra
Suresh Kumar Sahani
spellingShingle M. K. Sharma
Nitesh Dhiman
Lakshmi Narayan Mishra
Vishnu Narayan Mishra
Suresh Kumar Sahani
Mediative Fuzzy Extension Technique and Its Consistent Measurement in the Decision Making of Medical Application
Mathematical Problems in Engineering
author_facet M. K. Sharma
Nitesh Dhiman
Lakshmi Narayan Mishra
Vishnu Narayan Mishra
Suresh Kumar Sahani
author_sort M. K. Sharma
title Mediative Fuzzy Extension Technique and Its Consistent Measurement in the Decision Making of Medical Application
title_short Mediative Fuzzy Extension Technique and Its Consistent Measurement in the Decision Making of Medical Application
title_full Mediative Fuzzy Extension Technique and Its Consistent Measurement in the Decision Making of Medical Application
title_fullStr Mediative Fuzzy Extension Technique and Its Consistent Measurement in the Decision Making of Medical Application
title_full_unstemmed Mediative Fuzzy Extension Technique and Its Consistent Measurement in the Decision Making of Medical Application
title_sort mediative fuzzy extension technique and its consistent measurement in the decision making of medical application
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1563-5147
publishDate 2021-01-01
description 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.
url http://dx.doi.org/10.1155/2021/5530681
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