Further results on fuzzy negations and implications induced by fuzzy conjunctions and disjunctions
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866915760560930816 |
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| author | Zhang, Xin-Tong Wang, Xue-ping |
| author_facet | Zhang, Xin-Tong Wang, Xue-ping |
| contents | In this article, we deeply investigate some properties of fuzzy negations induced from fuzzy conjunctions (resp. disjunctions), which are then applied to characterizing the fuzzy negations. We further use the obtained characterization of fuzzy negations to explore some properties of $(D,N)$-implications generated from fuzzy disjunctions and negations. We finally describe $(D,N)$-implications (resp. continuous $(D,N)$-implications) generated from fuzzy disjunctions and negations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_21156 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Further results on fuzzy negations and implications induced by fuzzy conjunctions and disjunctions Zhang, Xin-Tong Wang, Xue-ping Representation Theory In this article, we deeply investigate some properties of fuzzy negations induced from fuzzy conjunctions (resp. disjunctions), which are then applied to characterizing the fuzzy negations. We further use the obtained characterization of fuzzy negations to explore some properties of $(D,N)$-implications generated from fuzzy disjunctions and negations. We finally describe $(D,N)$-implications (resp. continuous $(D,N)$-implications) generated from fuzzy disjunctions and negations. |
| title | Further results on fuzzy negations and implications induced by fuzzy conjunctions and disjunctions |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2601.21156 |