Belief and Possibility Belief Interval-Valued N-Soft Set and Their Applications in Multi-Attribute Decision-Making Problems

In this research article, we motivate and introduce the concept of possibility belief interval-valued N-soft sets. It has a great significance for enhancing the performance of decision-making procedures in many theories of uncertainty. The N-soft set theory is arising as an effective mathematical to...

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Autores principales:	Shahbaz Ali, Muneeba Kousar, Qin Xin, Dragan Pamučar, Muhammad Shazib Hameed, Rabia Fayyaz
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	belief interval-valued soft set belief interval-valued N-soft set possibility belief interval-valued N-soft set algorithms and applications for decision-making Science Q Astrophysics QB460-466 Physics QC1-999
Acceso en línea:	https://doaj.org/article/74a20051ec0846c6a027ba7bdbe81df4
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spelling	oai:doaj.org-article:74a20051ec0846c6a027ba7bdbe81df42021-11-25T17:30:16ZBelief and Possibility Belief Interval-Valued N-Soft Set and Their Applications in Multi-Attribute Decision-Making Problems10.3390/e231114981099-4300https://doaj.org/article/74a20051ec0846c6a027ba7bdbe81df42021-11-01T00:00:00Zhttps://www.mdpi.com/1099-4300/23/11/1498https://doaj.org/toc/1099-4300In this research article, we motivate and introduce the concept of possibility belief interval-valued N-soft sets. It has a great significance for enhancing the performance of decision-making procedures in many theories of uncertainty. The N-soft set theory is arising as an effective mathematical tool for dealing with precision and uncertainties more than the soft set theory. In this regard, we extend the concept of belief interval-valued soft set to possibility belief interval-valued N-soft set (by accumulating possibility and belief interval with N-soft set), and we also explain its practical calculations. To this objective, we defined related theoretical notions, for example, belief interval-valued N-soft set, possibility belief interval-valued N-soft set, their algebraic operations, and examined some of their fundamental properties. Furthermore, we developed two algorithms by using max-AND and min-OR operations of possibility belief interval-valued N-soft set for decision-making problems and also justify its applicability with numerical examples.Shahbaz AliMuneeba KousarQin XinDragan PamučarMuhammad Shazib HameedRabia FayyazMDPI AGarticlebelief interval-valued soft setbelief interval-valued N-soft setpossibility belief interval-valued N-soft setalgorithms and applications for decision-makingScienceQAstrophysicsQB460-466PhysicsQC1-999ENEntropy, Vol 23, Iss 1498, p 1498 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	belief interval-valued soft set belief interval-valued N-soft set possibility belief interval-valued N-soft set algorithms and applications for decision-making Science Q Astrophysics QB460-466 Physics QC1-999
spellingShingle	belief interval-valued soft set belief interval-valued N-soft set possibility belief interval-valued N-soft set algorithms and applications for decision-making Science Q Astrophysics QB460-466 Physics QC1-999 Shahbaz Ali Muneeba Kousar Qin Xin Dragan Pamučar Muhammad Shazib Hameed Rabia Fayyaz Belief and Possibility Belief Interval-Valued N-Soft Set and Their Applications in Multi-Attribute Decision-Making Problems
description	In this research article, we motivate and introduce the concept of possibility belief interval-valued N-soft sets. It has a great significance for enhancing the performance of decision-making procedures in many theories of uncertainty. The N-soft set theory is arising as an effective mathematical tool for dealing with precision and uncertainties more than the soft set theory. In this regard, we extend the concept of belief interval-valued soft set to possibility belief interval-valued N-soft set (by accumulating possibility and belief interval with N-soft set), and we also explain its practical calculations. To this objective, we defined related theoretical notions, for example, belief interval-valued N-soft set, possibility belief interval-valued N-soft set, their algebraic operations, and examined some of their fundamental properties. Furthermore, we developed two algorithms by using max-AND and min-OR operations of possibility belief interval-valued N-soft set for decision-making problems and also justify its applicability with numerical examples.
format	article
author	Shahbaz Ali Muneeba Kousar Qin Xin Dragan Pamučar Muhammad Shazib Hameed Rabia Fayyaz
author_facet	Shahbaz Ali Muneeba Kousar Qin Xin Dragan Pamučar Muhammad Shazib Hameed Rabia Fayyaz
author_sort	Shahbaz Ali
title	Belief and Possibility Belief Interval-Valued N-Soft Set and Their Applications in Multi-Attribute Decision-Making Problems
title_short	Belief and Possibility Belief Interval-Valued N-Soft Set and Their Applications in Multi-Attribute Decision-Making Problems
title_full	Belief and Possibility Belief Interval-Valued N-Soft Set and Their Applications in Multi-Attribute Decision-Making Problems
title_fullStr	Belief and Possibility Belief Interval-Valued N-Soft Set and Their Applications in Multi-Attribute Decision-Making Problems
title_full_unstemmed	Belief and Possibility Belief Interval-Valued N-Soft Set and Their Applications in Multi-Attribute Decision-Making Problems
title_sort	belief and possibility belief interval-valued n-soft set and their applications in multi-attribute decision-making problems
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/74a20051ec0846c6a027ba7bdbe81df4
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Belief and Possibility Belief Interval-Valued N-Soft Set and Their Applications in Multi-Attribute Decision-Making Problems

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