Pseudo triangular norms on bounded trellises
| Autor: | Mehenni, Abdelkrim, Zedam, Lemnaouar |
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| Rok vydání: | 2022 |
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| Druh dokumentu: | Working Paper |
| Popis: | In this paper, we introduce the notion of pseudo-triangular norm (pseudo-t-norm, for short) as a classes of weakly associative operations on trellises and as a generalization of triangular norm (t-norm, for short) on bounded trellises and we investigate their various properties and present some constructions of pseudo-t-norms on bounded trellises. Also, we study the T-distributivity on bounded trellises. Moreover, we show the relationship among pseudo-t-norms and isomorphisms on bounded trellises, which are more complicated in absence of the property of (transitivity) associativity of the trellis meet and join operations. Comment: 23 pages, 3 figure. Comments are welcome. arXiv admin note: text overlap with arXiv:2212.02655 |
| Databáze: | arXiv |
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