Fuzzy pogroupoids
In this paper we show that, for given a pogroupoid (X,), the associated poset (X,?) is (C2+1)-free if and only if the relation ?? ? ? is transitive for any fuzzy subset ? of X. Also we determine the set C(X,) of fuzzy subsets ? such that ?(xy)=?(yx) for all x,y?X. Furthermore, with a given finite poset (X,?) or the associated pogroupoid (X,) we may then associate a polynomial whose coefficients count the number of congruence classes mod(X, ) of fuzzy subsets of X along with another polynomial invariant of interest.
pogroupoid fuzzy subset polynomial (induced) poset (c2+1)-free 1 dispersed