Using the Degree r∈[0,1] in Defining Rough Fuzzy Sets
This paper introduced a new definition of rough fuzzy sets based on a fuzzy ideal l defined on a fuzzy approximation space X,R. This definition considered the degree r∈0,1 in defining the after sets and the before sets of the arbitrary fuzzy relation R on the finite set of objects X. It is shown tha...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2024-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/1489444 |
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| Summary: | This paper introduced a new definition of rough fuzzy sets based on a fuzzy ideal l defined on a fuzzy approximation space X,R. This definition considered the degree r∈0,1 in defining the after sets and the before sets of the arbitrary fuzzy relation R on the finite set of objects X. It is shown that this new type of roughness is a generalization to many of previous definitions in the fuzzy case and also in the ordinary case. As an application, it is given a rough fuzzy-connected set notion depending on some degree r∈0,1. |
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| ISSN: | 2314-4785 |