FUZZY NEXUS OVER AN ORDINAL

نویسندگان
Farokhi Ostad, J. ID 1
Estaji, A. A. ID 2
Haghdadi, T. ID 3

1 Faculty of Basic Sciences, Birjand University of technology Birjand, Iran.

2 Faculty of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.

3 Faculty of Basic Sciences, Birjand University of technology Birjand, Iran.

doi
10.22044/jas.2015.489
چکیده

‎‎In this paper‎, ‎we define fuzzy subnexuses over a nexus $N$‎. ‎Define and study the notions of the prime fuzzy subnexuses and the fractions‎‎induced by them‎. ‎Finally‎, ‎we show that if S is a meet‎‎closed subset of the set Fsub(N), ‎of fuzzy subnexuses of a nexus N‎, ‎and‎‎h= ⋀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