Non-Archimedean fuzzy and probability logic

摘要

In this paper the non-Archimedean multiple-validity is proposed for basic fuzzy logic BL any_∞ that is built as an ω-order extension of the logic BLany. Probabilities are defined on the class of fuzzy subsets and, as a result, for the first time the non-Archimedean valued probability logic is constructed on the base of BLany_∞.