Haghdadi, T., Estaji, A., Farokhi Ostad, J. (2015). FUZZY NEXUS OVER AN ORDINAL. Journal of Algebraic Systems, 3(1), 65-82. doi: 10.22044/jas.2015.489
T. Haghdadi; A. A. Estaji; J. Farokhi Ostad. "FUZZY NEXUS OVER AN ORDINAL". Journal of Algebraic Systems, 3, 1, 2015, 65-82. doi: 10.22044/jas.2015.489
Haghdadi, T., Estaji, A., Farokhi Ostad, J. (2015). 'FUZZY NEXUS OVER AN ORDINAL', Journal of Algebraic Systems, 3(1), pp. 65-82. doi: 10.22044/jas.2015.489
Haghdadi, T., Estaji, A., Farokhi Ostad, J. FUZZY NEXUS OVER AN ORDINAL. Journal of Algebraic Systems, 2015; 3(1): 65-82. doi: 10.22044/jas.2015.489
2Faculty of Mathematics and Computer Sciences , Hakim Sabzevari University
3Faculty of Basic Sciences, Birjand University of technology
Abstract
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.
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