37-48
On a Classification of Semilattice Valued Functions
Authors: Harina O. L. Monim, Indah E. Wijayanti and Sri Wahyuni
Number of views: 495
In the framework of fuzzy sets and corresponding techniques, we investigate functions from a nonempty set X into an ordered structure (S;6) where S is a meet-semilattice.Each function mi : X ! S determines a family of subsets of X, which are called cut sets. Vice versa, particular family of subsets of X, indexed by the
elements of S uniquely determines a function from X to S.
Further, any function : X ! S determines a semi-closure operator on S, which induces an equivalence relation on the semilattice S. Using the above results, we classify functions in SX.