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FUZZY CONVEX SUBALGEBRAS OF COMMUTATIVE RESIDUATED LATTICES | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 4، دوره 7، شماره 2، شهریور 2010، صفحه 41-54 اصل مقاله (191.04 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2010.171 | ||
| نویسندگان | ||
| Shokoofeh Ghorbani1؛ Abbas Hasankhani* 2 | ||
| 1Department of Mathematics of Bam, Shahid Bahonar University of Kerman, Kerman, Iran | ||
| 2Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran | ||
| چکیده | ||
| In this paper, we define the notions of fuzzy congruence relations and fuzzy convex subalgebras on a commutative residuated lattice and we obtain some related results. In particular, we will show that there exists a one to one correspondence between the set of all fuzzy congruence relations and the set of all fuzzy convex subalgebras on a commutative residuated lattice. Then we study fuzzy convex subalgebras of an integral commutative residuated lattice and will prove that fuzzy filters and fuzzy convex subalgebras of an integral commutative residuated lattice coincide. | ||
| کلیدواژه‌ها | ||
| (Integral) Commutative residuated lattice؛ Fuzzy convex subalgebra؛ Fuzzy congruence relation؛ Fuzzy filter | ||
| مراجع | ||
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