| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4943884 | Fuzzy Sets and Systems | 2017 | 18 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
I. Lizasoain, M. Gómez,