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: | , |
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| 格式: | Article |
| 语言: | English |
| 出版: |
Penerbit Universiti Kebangsaan Malaysia
2022
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| 在线阅读: | http://journalarticle.ukm.my/20968/1/QT%206.pdf http://journalarticle.ukm.my/20968/ https://www.ukm.my/jqma/current/ |
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| 总结: | 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. |
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