Chapter 12

Applications in Multivalued Logic

Antonio Boccuto, Beloslav Riecan and Marta Vrabelova

Abstract

This chapter contains an introduction to the theory of MV-algebras and states, together with the notion of observable. </p> <p> It is proved that every probability MV-algebra is weakly σ-distributive and some applications to intuitionistic fuzzy sets (IF-sets) are given. </p> <p> Furthermore we show that the probability theory of IF-sets can be considered as a particular case of the probability theory on a suitable MV-algebra.

Total Pages: 178-186 (9)

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