Interval-Valued Fuzzy Congruences on a Semigroup
نویسندگان
چکیده
We introduce the concept of interval-valued fuzzy congruences on a semigroup S and we obtain some important results: First, for any interval-valued fuzzy congruence R on a group G, the interval-valued congruence class Re is an interval-valued fuzzy normal subgroup of G. Second, for any interval-valued fuzzy congruence R on a groupoid S, we show that a binary operation ∗ an S/R is well-defined and also we obtain some results related to additional conditions for S. Also we improve that for any two interval-valued fuzzy congruences R and Q on a semigroup S such that R ⊂ Q, there exists a unique semigroup homomorphism g : S/R→ S/G.
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ورودعنوان ژورنال:
- Int. J. Fuzzy Logic and Intelligent Systems
دوره 13 شماره
صفحات -
تاریخ انتشار 2013