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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Penerbit Universiti Kebangsaan Malaysia
2022
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| Online Access: | http://journalarticle.ukm.my/20968/ http://journalarticle.ukm.my/20968/1/QT%206.pdf |
| _version_ | 1848815237662244864 |
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| author | P. Jayaramam, Sudha Dhandapani Subramanian, |
| author_facet | P. Jayaramam, Sudha Dhandapani Subramanian, |
| author_sort | P. Jayaramam, |
| building | UKM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T00:46:47Z |
| format | Article |
| id | oai:generic.eprints.org:20968 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T00:46:47Z |
| publishDate | 2022 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org: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/ |
| spellingShingle | P. Jayaramam, Sudha Dhandapani Subramanian, Approximation theory in up-algebras based on intuitionistic fuzzy sets |
| title | 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_short | Approximation theory in up-algebras based on intuitionistic fuzzy sets |
| title_sort | approximation theory in up-algebras based on intuitionistic fuzzy sets |
| url | http://journalarticle.ukm.my/20968/ http://journalarticle.ukm.my/20968/ http://journalarticle.ukm.my/20968/1/QT%206.pdf |