Products of lattice-valued fuzzy transition systems and induced fuzzy transformation semigroups
| Autor: | M. Gmez, I. Lizasoain |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Fuzzy classification
Transformation semigroup Logic Semigroup 05 social sciences 050301 education 02 engineering and technology Fuzzy subalgebra Fuzzy logic Algebra Artificial Intelligence 0202 electrical engineering electronic engineering information engineering Special classes of semigroups Fuzzy number 020201 artificial intelligence & image processing Fuzzy associative matrix 0503 education Mathematics |
| Zdroj: | Fuzzy Sets and Systems. 317:133-150 |
| ISSN: | 0165-0114 |
| Popis: | In this study, several products of fuzzy transformation semigroups are generalized to the case where their truth structure is a complete lattice. We show that the direct product of two such fuzzy transformation semigroups is again a fuzzy transformation semigroup if and only if the lattice is distributive. In addition, after extending the cascade product, we introduce a novel way of building a fuzzy transformation semigroup starting from a unique automaton. The particular case of the lattice comprising all the closed subintervals contained in [0,1] is analyzed. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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