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