| Autor: |
Jeong Gon Lee, Kul Hur, Pyung Ki Lim |
| Rok vydání: |
2013 |
| Předmět: |
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| Zdroj: |
Honam Mathematical Journal. 35:565-582 |
| ISSN: |
1225-293X |
| Popis: |
We study the conditions under which a given interval- valued fuzzy subgroup of a given group can or can not be realized as a union of two interval-valued fuzzy proper subgroups. Moreover, we provide a simple necessary and sucient condition for the union of an arbitrary family of interval-valued fuzzy subgroups to be an interval-valued fuzzy subgroup. Also we formulate the concept of interval-valued fuzzy subgroup generated by a given interval-valued fuzzy set by level subgroups. Furthermore we give characterizations of interval-valued fuzzy conjugate subgroups and interval-valued fuzzy characteristic subgroups by their level subgroups. Also we investigate the level subgroups of the homomorphic image of a given interval-valued fuzzy subgroup. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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