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Approximation theory in up-algebras based on intuitionistic fuzzy sets

This paper discusses the upper and lower approximations of Atanassov intuitionistic fuzzy sets in crisp and fuzzy approximation spaces in which both constructive and axiomatic approaches are used. In the constructive approach, concepts of intuitionistic fuzzy sets are defined, properties of intuitio...

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Main Authors: P. Jayaramam,, Sudha Dhandapani Subramanian,
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2022
Online Access:http://journalarticle.ukm.my/20968/1/QT%206.pdf
http://journalarticle.ukm.my/20968/
https://www.ukm.my/jqma/current/
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spelling my-ukm.journal.209682023-01-19T00:47:34Z http://journalarticle.ukm.my/20968/ Approximation theory in up-algebras based on intuitionistic fuzzy sets P. Jayaramam, Sudha Dhandapani Subramanian, This paper discusses the upper and lower approximations of Atanassov intuitionistic fuzzy sets in crisp and fuzzy approximation spaces in which both constructive and axiomatic approaches are used. In the constructive approach, concepts of intuitionistic fuzzy sets are defined, properties of intuitionistic fuzzy approximation operators are examined. Different classes of intuitionistic fuzzy set algebras are obtained from different types of fuzzy relations. In the axiomatic approach, an operator-oriented characterization of intuitionistic fuzzy sets is proposed. Penerbit Universiti Kebangsaan Malaysia 2022 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/20968/1/QT%206.pdf P. Jayaramam, and Sudha Dhandapani Subramanian, (2022) Approximation theory in up-algebras based on intuitionistic fuzzy sets. Journal of Quality Measurement and Analysis, 18 (3). pp. 71-82. ISSN 2600-8602 https://www.ukm.my/jqma/current/
institution Universiti Kebangsaan Malaysia
building Tun Sri Lanang Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Kebangsaan Malaysia
content_source UKM Journal Article Repository
url_provider http://journalarticle.ukm.my/
language English
description This paper discusses the upper and lower approximations of Atanassov intuitionistic fuzzy sets in crisp and fuzzy approximation spaces in which both constructive and axiomatic approaches are used. In the constructive approach, concepts of intuitionistic fuzzy sets are defined, properties of intuitionistic fuzzy approximation operators are examined. Different classes of intuitionistic fuzzy set algebras are obtained from different types of fuzzy relations. In the axiomatic approach, an operator-oriented characterization of intuitionistic fuzzy sets is proposed.
format Article
author P. Jayaramam,
Sudha Dhandapani Subramanian,
spellingShingle P. Jayaramam,
Sudha Dhandapani Subramanian,
Approximation theory in up-algebras based on intuitionistic fuzzy sets
author_facet P. Jayaramam,
Sudha Dhandapani Subramanian,
author_sort P. Jayaramam,
title Approximation theory in up-algebras based on intuitionistic fuzzy sets
title_short Approximation theory in up-algebras based on intuitionistic fuzzy sets
title_full Approximation theory in up-algebras based on intuitionistic fuzzy sets
title_fullStr Approximation theory in up-algebras based on intuitionistic fuzzy sets
title_full_unstemmed Approximation theory in up-algebras based on intuitionistic fuzzy sets
title_sort approximation theory in up-algebras based on intuitionistic fuzzy sets
publisher Penerbit Universiti Kebangsaan Malaysia
publishDate 2022
url http://journalarticle.ukm.my/20968/1/QT%206.pdf
http://journalarticle.ukm.my/20968/
https://www.ukm.my/jqma/current/
_version_ 1755873351979499520
score 13.211869

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