Fuzzy rank functions in the set of all binary systems.
In this paper, we introduce fuzzy rank functions for groupoids, and we investigate their roles in the semigroup of binary systems by using the notions of right parallelisms and [Formula: see text]-shrinking groupoids.
Department of Mathematics, Hanyang University, Seoul, 04763 Korea.
Hee Sik
HS
Kim
Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487-0350 USA.
J
J
Neggers
Department of Mathematics, Hallym University, Chuncheon, 24252 Korea.
Keum Sook
KS
So
(Fuzzy) rank-d-function; (Fuzzy) rank-subalgebra; (Fuzzy) symmetric-rank-function; Bin(X); Right parallel; Selective; [Formula: see text]-Shrinking