FUZZY NEXUS OVER AN ORDINAL | ||
| Journal of Algebraic Systems | ||
| مقاله 7، دوره 3، شماره 1، آذر 2015، صفحه 65-82 اصل مقاله (223.3 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2015.489 | ||
| نویسندگان | ||
| A. A. Estaji1؛ T. Haghdadi* 2؛ J. Farokhi Ostad2 | ||
| 1Faculty of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran. | ||
| 2Faculty of Basic Sciences, Birjand University of technology Birjand, Iran. | ||
| چکیده | ||
| In this paper, we define fuzzy subnexuses over a nexus $N$. Define and study the notions of the prime fuzzy subnexuses and the fractions induced by them. Finally, we show that if S is a meet closed subset of the set Fsub(N), of fuzzy subnexuses of a nexus N, and h= ⋀S ϵ S, then the fractions S^-1 N and h^-1 N are isomorphic as meet-semilattices. | ||
| کلیدواژهها | ||
| Nexus؛ ordinal؛ Prime fuzzy subnexus؛ Fraction of a nexus | ||
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