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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

FUZZY NEXUS OVER AN ORDINAL

Article 7, Volume 3, Issue 1, Summer and Autumn 2015, Page 65-82  XML PDF (223.3 K)
Document Type: Original Manuscript
DOI: 10.22044/jas.2015.489
Authors
A. A. Estaji1; T. Haghdadi email 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.
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.
Keywords
‎Nexus‎; ‎ordinal‎; ‎Prime fuzzy subnexus‎; ‎Fraction‎ ‎of a nexus‎
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