Kurzweil-Henstock Integral in Riesz spaces

Applications in Multivalued Logic

Author(s): Antonio Boccuto, Beloslav Riecan and Marta Vrabelova

Pp: 178-186 (9)

Doi: 10.2174/978160805003110901010178

* (Excluding Mailing and Handling)

Abstract

This chapter contains an introduction to the theory of MV-algebras and states, together with the notion of observable.

It is proved that every probability MV-algebra is weakly σ-distributive and some applications to intuitionistic fuzzy sets (IF-sets) are given.

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.

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