Probability-like functionals and fuzzy logic

Abstract

The aim of this paper is to show that fuzzy logic is a suitable tool to manage several types of probability-like functionals. Namely, we show that the superadditive functions, the necessities, the upper and lower probabilities, and the envelopes can be considered theories of suitable fuzzy logics. Some general results about the compactness in fuzzy logic are also obtained. © 1997 Academic Press.