Some algebraic properties of fuzzy S-acts
| Autor: | M. Haddadi |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | Ratio Mathematica, Vol 24, Iss 1, Pp 53-62 (2013) |
| Druh dokumentu: | article |
| ISSN: | 1592-7415 2282-8214 |
| Popis: | S-acts, a useful and important algebraic tool, have always been interest to mathematicians, specially to computer scientists. When A. Zadeh introduced the notion of the fuzzy subset in 1965, his idea opened a new direction to reserchers to provide tools in the various elds of mathematics. Here we are going to investigate some algebraic properties of fuzzy S-acts. We rst make an S-act from the fuzzy sub-sets of an S-act A. Then we use this tool to give a characterization for fuzzy S-acts. We then introduce the notion of generated fuzzy S-act by a fuzzy subset of an S-act and give a characterization for the fuzzy actions. And then we dene the notion of indecomposable fuzzy S-act and nd some indecomposable fuzzy actions. |
| Databáze: | Directory of Open Access Journals |
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