Algorithms for Multipolar Interval-Valued Neutrosophic Soft Set with Information Measures to Solve Multicriteria Decision-Making Problem

Similarity measures (SM) and correlation coefficients (CC) are used to solve many problems. These problems include vague and imprecise information, excluding the inability to deal with general vagueness and numerous information problems. The main purpose of this research is to propose an m-polar int...

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Autores principales:	Rana Muhammad Zulqarnain, Imran Siddique, Aiyared Iampan, Ebenezer Bonyah
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Computer applications to medicine. Medical informatics R858-859.7 Neurosciences. Biological psychiatry. Neuropsychiatry RC321-571
Acceso en línea:	https://doaj.org/article/559d71fb0160431183d2c4fbeca97054
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spelling	oai:doaj.org-article:559d71fb0160431183d2c4fbeca970542021-11-22T01:11:22ZAlgorithms for Multipolar Interval-Valued Neutrosophic Soft Set with Information Measures to Solve Multicriteria Decision-Making Problem1687-527310.1155/2021/7211399https://doaj.org/article/559d71fb0160431183d2c4fbeca970542021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/7211399https://doaj.org/toc/1687-5273Similarity measures (SM) and correlation coefficients (CC) are used to solve many problems. These problems include vague and imprecise information, excluding the inability to deal with general vagueness and numerous information problems. The main purpose of this research is to propose an m-polar interval-valued neutrosophic soft set (mPIVNSS) by merging the m-polar fuzzy set and interval-valued neutrosophic soft set and then study various operations based on the proposed notion, such as AND operator, OR operator, truth-favorite, and false-favorite operators with their properties. This research also puts forward the concept of the necessity and possibility operations of mPIVNSS and also the m-polar interval-valued neutrosophic soft weighted average operator (mPIVNSWA) with its desirable properties. Cosine and set-theoretic similarity measures have been proposed for mPIVNSS using Bhattacharya distance and discussed their fundamental properties. Furthermore, we extend the concept of CC and weighted correlation coefficient (WCC) for mPIVNSS and presented their necessary characteristics. Moreover, utilizing the mPIVNSWA operator, CC, and SM developed three novel algorithms for mPIVNSS to solve the multicriteria decision-making problem. Finally, the advantages, effectiveness, flexibility, and comparative analysis of the developed algorithms are given with the prevailing techniques.Rana Muhammad ZulqarnainImran SiddiqueAiyared IampanEbenezer BonyahHindawi LimitedarticleComputer applications to medicine. Medical informaticsR858-859.7Neurosciences. Biological psychiatry. NeuropsychiatryRC321-571ENComputational Intelligence and Neuroscience, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Computer applications to medicine. Medical informatics R858-859.7 Neurosciences. Biological psychiatry. Neuropsychiatry RC321-571
spellingShingle	Computer applications to medicine. Medical informatics R858-859.7 Neurosciences. Biological psychiatry. Neuropsychiatry RC321-571 Rana Muhammad Zulqarnain Imran Siddique Aiyared Iampan Ebenezer Bonyah Algorithms for Multipolar Interval-Valued Neutrosophic Soft Set with Information Measures to Solve Multicriteria Decision-Making Problem
description	Similarity measures (SM) and correlation coefficients (CC) are used to solve many problems. These problems include vague and imprecise information, excluding the inability to deal with general vagueness and numerous information problems. The main purpose of this research is to propose an m-polar interval-valued neutrosophic soft set (mPIVNSS) by merging the m-polar fuzzy set and interval-valued neutrosophic soft set and then study various operations based on the proposed notion, such as AND operator, OR operator, truth-favorite, and false-favorite operators with their properties. This research also puts forward the concept of the necessity and possibility operations of mPIVNSS and also the m-polar interval-valued neutrosophic soft weighted average operator (mPIVNSWA) with its desirable properties. Cosine and set-theoretic similarity measures have been proposed for mPIVNSS using Bhattacharya distance and discussed their fundamental properties. Furthermore, we extend the concept of CC and weighted correlation coefficient (WCC) for mPIVNSS and presented their necessary characteristics. Moreover, utilizing the mPIVNSWA operator, CC, and SM developed three novel algorithms for mPIVNSS to solve the multicriteria decision-making problem. Finally, the advantages, effectiveness, flexibility, and comparative analysis of the developed algorithms are given with the prevailing techniques.
format	article
author	Rana Muhammad Zulqarnain Imran Siddique Aiyared Iampan Ebenezer Bonyah
author_facet	Rana Muhammad Zulqarnain Imran Siddique Aiyared Iampan Ebenezer Bonyah
author_sort	Rana Muhammad Zulqarnain
title	Algorithms for Multipolar Interval-Valued Neutrosophic Soft Set with Information Measures to Solve Multicriteria Decision-Making Problem
title_short	Algorithms for Multipolar Interval-Valued Neutrosophic Soft Set with Information Measures to Solve Multicriteria Decision-Making Problem
title_full	Algorithms for Multipolar Interval-Valued Neutrosophic Soft Set with Information Measures to Solve Multicriteria Decision-Making Problem
title_fullStr	Algorithms for Multipolar Interval-Valued Neutrosophic Soft Set with Information Measures to Solve Multicriteria Decision-Making Problem
title_full_unstemmed	Algorithms for Multipolar Interval-Valued Neutrosophic Soft Set with Information Measures to Solve Multicriteria Decision-Making Problem
title_sort	algorithms for multipolar interval-valued neutrosophic soft set with information measures to solve multicriteria decision-making problem
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/559d71fb0160431183d2c4fbeca97054
work_keys_str_mv	AT ranamuhammadzulqarnain algorithmsformultipolarintervalvaluedneutrosophicsoftsetwithinformationmeasurestosolvemulticriteriadecisionmakingproblem AT imransiddique algorithmsformultipolarintervalvaluedneutrosophicsoftsetwithinformationmeasurestosolvemulticriteriadecisionmakingproblem AT aiyarediampan algorithmsformultipolarintervalvaluedneutrosophicsoftsetwithinformationmeasurestosolvemulticriteriadecisionmakingproblem AT ebenezerbonyah algorithmsformultipolarintervalvaluedneutrosophicsoftsetwithinformationmeasurestosolvemulticriteriadecisionmakingproblem
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Algorithms for Multipolar Interval-Valued Neutrosophic Soft Set with Information Measures to Solve Multicriteria Decision-Making Problem

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