Probability on pseudo-MV-algebras

Lasova Lenka

The concept of Intuitionistic Fuzzy Sets (IFS) was proposed by K. Atanassov in 1983. It is an extension of the well-known notion of fuzzy set defined by L. Zadeh. Every element a of an IFS set has a degree of membership µ : a → (0,1) and a degree of non-membership v : a → (0,1). The sum of the two degrees have to be less than 1: µ (a) + v (a) ≤ 1. It is well known that every IF set can be embeded in MV-algebra. The natural noncomnutative generalization of MV-algebra is the pseudo-MValgebra. The aim of this paper is to show that some results holding in B-structures are used for pseudo- MV-algebras.

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