Kurzweil-Henstock Integral in Riesz spaces

Indexed in: Scopus, EBSCO.

This Ebook is concerned with both the theory of the Kurzweil-Henstock integral and the basic facts on Riesz spaces. Moreover, even the so-called Šipoš integral, which has several applications in ...
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Applications in Multivalued Logic

Pp. 178-186 (9)

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.

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.