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Enriched Fuzzy -Algebra and Fuzzy RoughApproximation Operators
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In this paper, we introduce the concept of enriched fuzzy -algebra and establish its relation to fuzzy rough approximation operators. Firstly, the concept of enriched fuzzy -algebra is proposed as an extension of existing fuzzy -algebras, and several concrete examples are provided. Particularly, it has been proven that each - algebra can naturally generate an enriched fuzzy -algebra. Secondly, the methods for constructing enriched fuzzy -algebra using reflexive fuzzy rough approximation operators and serial rough fuzzy approximation operators are given, respectively. Finally, it is shown that enriched fuzzy -algebras generated by -algebras must be induced by some rough fuzzy approximation operator.
House of Scientific Research
Title: Enriched Fuzzy -Algebra and Fuzzy RoughApproximation Operators
Description:
In this paper, we introduce the concept of enriched fuzzy -algebra and establish its relation to fuzzy rough approximation operators.
Firstly, the concept of enriched fuzzy -algebra is proposed as an extension of existing fuzzy -algebras, and several concrete examples are provided.
Particularly, it has been proven that each - algebra can naturally generate an enriched fuzzy -algebra.
Secondly, the methods for constructing enriched fuzzy -algebra using reflexive fuzzy rough approximation operators and serial rough fuzzy approximation operators are given, respectively.
Finally, it is shown that enriched fuzzy -algebras generated by -algebras must be induced by some rough fuzzy approximation operator.
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