The definition of belief function is extended to fuzzy events starting from a basic assignment of probability on some fuzzy focal events and using a suitable notion of inclusion for fuzzy subsets.Expand

This led several authors to investigate the closure systems and the closure operators in the framework of fuzzy set theory. The resulting researches give an elegant and powerful treatment of notions… Expand

Whitehead, in his famous book Process and Reality, proposed a definition of point assuming the concepts of "region" and "connection relation" as primitive.Expand

M. Ying proposed a propositional calculus in which the reasoning may be approximate by allowing the antecedent clause of a rule to match its premise only approximately. The aim of this note is to… Expand

Abstract Notions of recursive enumerability and decidability for fuzzy subsets and of computability for fuzzy maps are proposed. The aim is to give adequate tools when dealing with fuzzy logics,… Expand

Abstract. It is shown the complete equivalence between the theory of continuous (enumeration) fuzzy closure operators and the theory of (effective) fuzzy deduction systems in Hilbert style. Moreover,… Expand

The connection between similarity logic and the theory of closure operators is examined. Indeed one proves that the consequence relation dened in (14) can be obtained by composing two closure… Expand