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On fuzzy convex lattice-ordered subgroups | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 11، دوره 10، شماره 3، شهریور 2013، صفحه 159-172 اصل مقاله (379.36 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2013.868 | ||
| نویسنده | ||
Mahmood Bakhshi 
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| Department of Mathematics, Bojnord University, Bojnord, Iran | ||
| چکیده | ||
| In this paper, the concept of fuzzy convex subgroup (resp. fuzzy convex lattice-ordered subgroup) of an ordered group (resp. lattice-ordered group) is introduced and some properties, characterizations and related results are given. Also, the fuzzy convex subgroup (resp. fuzzy convex lattice-ordered subgroup) generated by a fuzzy subgroup (resp. fuzzy subsemigroup) is characterized. Furthermore, the Fundamental Homomorphism Theorem is established. Finally, it is proved that the class of all fuzzy convex lattice-ordered subgroups of a lattice-ordered group $G$ forms a complete Heyting sublattice of the lattice of fuzzy subgroups of $G$. | ||
| کلیدواژه‌ها | ||
| Lattice-ordered group؛ Convex subgroup؛ Fuzzy convex subgroup | ||
| مراجع | ||
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