Generalized homogeneous, prelattice and MV-effect algebras

Homogeneous orthocomplete effect algebras are covered by MV-algebras

New Results on Ideals in $MV$-‎algebras‎

In the present paper, by considering the notion of ideals in $MV$-algebras, we study some kinds of ideals in $MV$-algebras and obtain some results on them. For example, we present definition of ultra ideal in $MV$-algebras, and we get some results on it. In fact, by definition of ultra ideals, we present new conditions to have prime ideals, positive implicative ideals and maximal ideals in $MV$...

f-DERIVATIONS AND (f; g)-DERIVATIONS OF MV -ALGEBRAS

Recently, the algebraic theory of MV -algebras is intensively studied. In this paper, we extend the concept of derivation of $MV$-algebras and we give someillustrative examples. Moreover, as a generalization of derivations of $MV$ -algebraswe introduce the notion of $f$-derivations and $(f; g)$-derivations of $MV$-algebras.Also, we investigate some properties of them.

A new approach to characterization of MV-algebras

By considering the notion of MV-algebras, we recall some results on enumeration of MV-algebras and wecarry out a study on characterization of MV-algebras of orders $2$, $3$, $4$, $5$, $6$ and $7$. We obtain that there is one non-isomorphic MV-algebra of orders $2$, $3$, $5$ and $7$ and two non-isomorphic MV-algebras of orders $4$ and $6$.

Geometrical aspects of possibility measures on finite domain MV-clans

In this paper we study generalized possibility and necessity measures on MV-algebras of [0, 1]valued functions (MV-clans) in the framework of idempotent mathematics, where the usual field of reals R is replaced by the max-plus semiring Rmax. We prove results about extendability of partial assessments to possibility and necessity measures, and we characterize the geometrical properties of the sp...