Fuzzy rank functions in the set of all binary systems

Hee Sik Kim; J Neggers; Keum Sook So

doi:10.1186/s40064-016-3536-z

Fuzzy rank functions in the set of all binary systems

Springerplus. 2016 Oct 24;5(1):1865. doi: 10.1186/s40064-016-3536-z. eCollection 2016.

Authors

Hee Sik Kim¹, J Neggers², Keum Sook So³

Affiliations

¹ Department of Mathematics, Hanyang University, Seoul, 04763 Korea.
² Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487-0350 USA.
³ Department of Mathematics, Hallym University, Chuncheon, 24252 Korea.

Abstract

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.

Keywords: (Fuzzy) rank-d-function; (Fuzzy) rank-subalgebra; (Fuzzy) symmetric-rank-function; Bin(X); Right parallel; Selective; [Formula: see text]-Shrinking.