PROCEEDINGS IPMU '08

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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