Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10225710 | Fuzzy Sets and Systems | 2018 | 16 Pages |
Abstract
In this study, we provide a general theory of minimal realization for a given fuzzy language in a category theory setting. We introduce categorical characterizations of a run map, reachability map, and observability map for a crisp deterministic fuzzy automaton. Finally, we show that all minimal realizations for a given fuzzy language are isomorphic to the Nerode realization for the same case.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
S.P. Tiwari, Vijay K. Yadav, Bijan Davvaz, Renu Renu,