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 fuzz...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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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 |
| _version_ | 1818255644533194752 |
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| author | C. Antony Crispin Sweety I. Arockiarani |
| author_facet | C. Antony Crispin Sweety I. Arockiarani |
| author_sort | C. Antony Crispin Sweety |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-12T17:15:08Z |
| format | Article |
| id | doaj.art-9ecb0f3cb2b04a108bcd6fad51bdb710 |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-12-12T17:15:08Z |
| publishDate | 2015-09-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-9ecb0f3cb2b04a108bcd6fad51bdb7102022-12-22T00:17:48ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2015-09-0195057Topological structures of fuzzy neutrosophic rough setsC. Antony Crispin Sweety0I. Arockiarani1 Nirmala College for Women, Coimbatore, Tamilnadu, India Nirmala College for Women, Coimbatore, Tamilnadu, IndiaIn 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.http://fs.gallup.unm.edu/NSS/Topological%20structures%20of%20fuzzy%20neutrosophic.pdfFuzzy neutrosophic rough setApproximation operatorsapproximation spacesrough setstopological spaces |
| spellingShingle | C. Antony Crispin Sweety I. Arockiarani Topological structures of fuzzy neutrosophic rough sets Neutrosophic Sets and Systems Fuzzy neutrosophic rough set Approximation operators approximation spaces rough sets topological spaces |
| title | Topological structures of fuzzy neutrosophic rough sets |
| title_full | Topological structures of fuzzy neutrosophic rough sets |
| title_fullStr | Topological structures of fuzzy neutrosophic rough sets |
| title_full_unstemmed | Topological structures of fuzzy neutrosophic rough sets |
| title_short | Topological structures of fuzzy neutrosophic rough sets |
| title_sort | topological structures of fuzzy neutrosophic rough sets |
| topic | Fuzzy neutrosophic rough set Approximation operators approximation spaces rough sets topological spaces |
| url | http://fs.gallup.unm.edu/NSS/Topological%20structures%20of%20fuzzy%20neutrosophic.pdf |
| work_keys_str_mv | AT cantonycrispinsweety topologicalstructuresoffuzzyneutrosophicroughsets AT iarockiarani topologicalstructuresoffuzzyneutrosophicroughsets |