Topological structures of fuzzy neutrosophic rough sets
In this paper, we examine the fuzzy neutrosophic relation having a special property that can be equivalently characterised by the essential properties of the lower and upper fuzzy neutrosophic rough approximation operators. Further, we prove that the set of all lower approximation sets based on fuz...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of New Mexico
2015-09-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | http://fs.gallup.unm.edu/NSS/Topological%20structures%20of%20fuzzy%20neutrosophic.pdf |
| Summary: | In this paper, we examine the fuzzy neutrosophic relation having a special property that can be equivalently characterised by the essential properties of the lower and upper fuzzy neutrosophic rough approximation operators. Further, we prove that the set of all lower approximation sets based on fuzzy neutrosophic equivalence approximation space forms a fuzzy neutrosophic topology. Also, we discuss the necessary and sufficient conditions such that the FN interior (closure) equals FN lower (upper) approximation operator. |
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| ISSN: | 2331-6055 2331-608X |