(3, 2)-Fuzzy Sets and Their Applications to Topology and Optimal Choices

The purpose of this paper is to define the concept of (3, 2)-fuzzy sets and discuss their relationship with other kinds of fuzzy sets. We describe some of the basic set operations on (3, 2)-fuzzy sets. (3, 2)-Fuzzy sets can deal with more uncertain situations than Pythagorean and intuitionistic fuzz...

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Autores principales:	Hariwan Z. Ibrahim, Tareq M. Al-shami, O. G. Elbarbary
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/eb65d9fa9dca4f45a8c4a9d47a16bcab
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spelling	oai:doaj.org-article:eb65d9fa9dca4f45a8c4a9d47a16bcab2021-11-08T02:37:30Z(3, 2)-Fuzzy Sets and Their Applications to Topology and Optimal Choices1687-527310.1155/2021/1272266https://doaj.org/article/eb65d9fa9dca4f45a8c4a9d47a16bcab2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/1272266https://doaj.org/toc/1687-5273The purpose of this paper is to define the concept of (3, 2)-fuzzy sets and discuss their relationship with other kinds of fuzzy sets. We describe some of the basic set operations on (3, 2)-fuzzy sets. (3, 2)-Fuzzy sets can deal with more uncertain situations than Pythagorean and intuitionistic fuzzy sets because of their larger range of describing the membership grades. Furthermore, we familiarize the notion of (3, 2)-fuzzy topological space and discuss the master properties of (3, 2)-fuzzy continuous maps. Then, we introduce the concept of (3, 2)-fuzzy points and study some types of separation axioms in (3, 2)-fuzzy topological space. Moreover, we establish the idea of relation in (3, 2)-fuzzy set and present some properties. Ultimately, on the basis of academic performance, the decision-making approach of student placement is presented via the proposed (3, 2)-fuzzy relation to ascertain the suitability of colleges to applicants.Hariwan Z. IbrahimTareq M. Al-shamiO. G. ElbarbaryHindawi 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 Hariwan Z. Ibrahim Tareq M. Al-shami O. G. Elbarbary (3, 2)-Fuzzy Sets and Their Applications to Topology and Optimal Choices
description	The purpose of this paper is to define the concept of (3, 2)-fuzzy sets and discuss their relationship with other kinds of fuzzy sets. We describe some of the basic set operations on (3, 2)-fuzzy sets. (3, 2)-Fuzzy sets can deal with more uncertain situations than Pythagorean and intuitionistic fuzzy sets because of their larger range of describing the membership grades. Furthermore, we familiarize the notion of (3, 2)-fuzzy topological space and discuss the master properties of (3, 2)-fuzzy continuous maps. Then, we introduce the concept of (3, 2)-fuzzy points and study some types of separation axioms in (3, 2)-fuzzy topological space. Moreover, we establish the idea of relation in (3, 2)-fuzzy set and present some properties. Ultimately, on the basis of academic performance, the decision-making approach of student placement is presented via the proposed (3, 2)-fuzzy relation to ascertain the suitability of colleges to applicants.
format	article
author	Hariwan Z. Ibrahim Tareq M. Al-shami O. G. Elbarbary
author_facet	Hariwan Z. Ibrahim Tareq M. Al-shami O. G. Elbarbary
author_sort	Hariwan Z. Ibrahim
title	(3, 2)-Fuzzy Sets and Their Applications to Topology and Optimal Choices
title_short	(3, 2)-Fuzzy Sets and Their Applications to Topology and Optimal Choices
title_full	(3, 2)-Fuzzy Sets and Their Applications to Topology and Optimal Choices
title_fullStr	(3, 2)-Fuzzy Sets and Their Applications to Topology and Optimal Choices
title_full_unstemmed	(3, 2)-Fuzzy Sets and Their Applications to Topology and Optimal Choices
title_sort	(3, 2)-fuzzy sets and their applications to topology and optimal choices
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/eb65d9fa9dca4f45a8c4a9d47a16bcab
work_keys_str_mv	AT hariwanzibrahim 32fuzzysetsandtheirapplicationstotopologyandoptimalchoices AT tareqmalshami 32fuzzysetsandtheirapplicationstotopologyandoptimalchoices AT ogelbarbary 32fuzzysetsandtheirapplicationstotopologyandoptimalchoices
_version_	1718443052751650816

(3, 2)-Fuzzy Sets and Their Applications to Topology and Optimal Choices

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