On separation properties in semilattices.
On skeletal and irreducible elements in tolerance lattices of finite distributive lattices
On skew lattices. II.
On some algebras connected with the theory of harmony
On some connections between Boolean algebras and Heyting algebras
On some contributions to quantum structures by fuzzy sets
It is well known that the fuzzy sets theory can be successfully used in quantum models ([5, 26]). In this paper we give first a review of recent development in the probability theory on tribes and their generalizations – multivalued (MV)-algebras. Secondly we show some applications of the described method to develop probability theory on IF-events.
On some finite groupoids with distributive subgroupoid lattices
The aim of the paper is to show that if S(G) is distributive, and also G satisfies some additional condition, then the union of any two subgroupoids of G is also a subgroupoid (intuitively, G has to be in some sense a unary algebra).
On some isomorphisms of De Morgan algebras of fuzzy sets.
In this paper the classes of De Morgan algebras (P(X),∩,U,n) are studied. With respect to isomorphisms of such algebras, being P(X) the fuzzy sets on a universe X taking values in [0,1], U and ∩ the usual union and intersection given by max and min operations and n a proper complement.
On some numerical representation of Post algebras
On some properties of Post algebras with countable chain of constants
On some properties of submeasures on MV-algebras
On some types of radical classes
Let be an infinite cardinal. We denote by the collection of all -representable Boolean algebras. Further, let be the collection of all generalized Boolean algebras such that for each , the interval of belongs to . In this paper we prove that is a radical class of generalized Boolean algebras. Further, we investigate some related questions concerning lattice ordered groups and generalized -algebras.
On the algebraic structure of fuzzy sets of type 2
On the -equivalence of multilattices
On the complementation of relatively complemented distributive lattices
On the congruences in four-valued modal algebras
On the dominance partial ordering of Dyck paths.
On the dual space of an MS-algebra.
On the extension of -poset valued measures
A variant of Alexandrov theorem is proved stating that a compact, subadditive -poset valued mapping is continuous. Then the measure extension theorem is proved for MV-algebra valued measures.
On the Frattini subalgebra of a Stone algebra