Semi-pre-convergence theory of nets of fuzzy sets in fuzzy topological spaces

Abstract

The convergence theory is a basic theory of fuzzy topology and fuzzy analysis. In this paper we introduce the notions of fuzzy SP-upper limit, fuzzy SP-lower limit and the fuzzy SP-convergent nets of fuzzy sets. We also study the properties of fuzzy SP-upper limit, fuzzy SP-lower limit and the fuzzy SP-convergent nets of fuzzy sets.