n-fold filters in residuated lattice
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2013
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| _version_ | 1866909831156203520 |
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| author | Kadji, A. Lele, C. Tonga, M. |
| author_facet | Kadji, A. Lele, C. Tonga, M. |
| contents | Residuated lattices play an important role in the study of fuzzy logic based of t-norm. In this paper, we introduced the notions of n-fold implicative filters, n-fold positive implicative filters, n-fold boolean filters, n-fold fantastic filters, n-fold normal filters and n-fold obstinate filters in residuated lattices and study the relations among them.
This generalized the similar existing results in BL-algebra with the connection of the work of Kerre and all in [14], Kondo and all in [7], [11] and Motamed and all in [9].
At the end of this paper, we draw two diagrams; the first one describe the relations between some type of n-fold filters in residuated lattices and the second one describe the relations between some type of n-fold residuated lattices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1308_1878 |
| institution | arXiv |
| publishDate | 2013 |
| record_format | arxiv |
| spellingShingle | n-fold filters in residuated lattice Kadji, A. Lele, C. Tonga, M. Logic Residuated lattices play an important role in the study of fuzzy logic based of t-norm. In this paper, we introduced the notions of n-fold implicative filters, n-fold positive implicative filters, n-fold boolean filters, n-fold fantastic filters, n-fold normal filters and n-fold obstinate filters in residuated lattices and study the relations among them. This generalized the similar existing results in BL-algebra with the connection of the work of Kerre and all in [14], Kondo and all in [7], [11] and Motamed and all in [9]. At the end of this paper, we draw two diagrams; the first one describe the relations between some type of n-fold filters in residuated lattices and the second one describe the relations between some type of n-fold residuated lattices. |
| title | n-fold filters in residuated lattice |
| topic | Logic |
| url | https://arxiv.org/abs/1308.1878 |