Entropy Measures for Interval Neutrosophic Vague Sets and Their Application in Decision Making

Entropy measure is an important tool in measuring uncertain information and plays a vital role in solving Multi Criteria Decision Making (MCDM). At present, various entropy measures in literature are developed to measure the degree of fuzziness. However, they could not be used to deal with interval...

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Published in:Neutrosophic Sets and Systems
Main Author: Hashim H.; Abdullah L.; Al-Quran A.; Awang A.
Format: Article
Language:English
Published: University of New Mexico 2021
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85119485824&partnerID=40&md5=829e4f3c6c95886daf00e132bc1d6a1e
id 2-s2.0-85119485824
spelling 2-s2.0-85119485824
Hashim H.; Abdullah L.; Al-Quran A.; Awang A.
Entropy Measures for Interval Neutrosophic Vague Sets and Their Application in Decision Making
2021
Neutrosophic Sets and Systems
45


https://www.scopus.com/inward/record.uri?eid=2-s2.0-85119485824&partnerID=40&md5=829e4f3c6c95886daf00e132bc1d6a1e
Entropy measure is an important tool in measuring uncertain information and plays a vital role in solving Multi Criteria Decision Making (MCDM). At present, various entropy measures in literature are developed to measure the degree of fuzziness. However, they could not be used to deal with interval neutrosophic vague set (INVS) environment. In this study, two kinds of entropy measures are proposed as the extension of the entropy measure of single valued neutrosophic set (SVNS). First, we construct the axiomatic definition of INVS and propose a new formula for the entropy measure of INVS. Based on this measure, we develop two multi criteria decision making methods. Subsequently, an illustrative example of investment problems under INVS is given to demonstrate the proposed entropy measures. Finally, a comparative analysis is presented to illustrate the rationality and effectiveness of the proposed entropy measures. © 2021
University of New Mexico
23316055
English
Article

author Hashim H.; Abdullah L.; Al-Quran A.; Awang A.
spellingShingle Hashim H.; Abdullah L.; Al-Quran A.; Awang A.
Entropy Measures for Interval Neutrosophic Vague Sets and Their Application in Decision Making
author_facet Hashim H.; Abdullah L.; Al-Quran A.; Awang A.
author_sort Hashim H.; Abdullah L.; Al-Quran A.; Awang A.
title Entropy Measures for Interval Neutrosophic Vague Sets and Their Application in Decision Making
title_short Entropy Measures for Interval Neutrosophic Vague Sets and Their Application in Decision Making
title_full Entropy Measures for Interval Neutrosophic Vague Sets and Their Application in Decision Making
title_fullStr Entropy Measures for Interval Neutrosophic Vague Sets and Their Application in Decision Making
title_full_unstemmed Entropy Measures for Interval Neutrosophic Vague Sets and Their Application in Decision Making
title_sort Entropy Measures for Interval Neutrosophic Vague Sets and Their Application in Decision Making
publishDate 2021
container_title Neutrosophic Sets and Systems
container_volume 45
container_issue
doi_str_mv
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-85119485824&partnerID=40&md5=829e4f3c6c95886daf00e132bc1d6a1e
description Entropy measure is an important tool in measuring uncertain information and plays a vital role in solving Multi Criteria Decision Making (MCDM). At present, various entropy measures in literature are developed to measure the degree of fuzziness. However, they could not be used to deal with interval neutrosophic vague set (INVS) environment. In this study, two kinds of entropy measures are proposed as the extension of the entropy measure of single valued neutrosophic set (SVNS). First, we construct the axiomatic definition of INVS and propose a new formula for the entropy measure of INVS. Based on this measure, we develop two multi criteria decision making methods. Subsequently, an illustrative example of investment problems under INVS is given to demonstrate the proposed entropy measures. Finally, a comparative analysis is presented to illustrate the rationality and effectiveness of the proposed entropy measures. © 2021
publisher University of New Mexico
issn 23316055
language English
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