Generalized fuzzy ideals of BCI-algebras.
Generalized homogeneous, prelattice and MV-effect algebras
We study unbounded versions of effect algebras. We show a necessary and sufficient condition, when lattice operations of a such generalized effect algebra are inherited under its embeding as a proper ideal with a special property and closed under the effect sum into an effect algebra. Further we introduce conditions for a generalized homogeneous, prelattice or MV-effect effect algebras. We prove that every prelattice generalized effect algebra is a union of generalized MV-effect algebras and...
Generalized ideal elements in poe-semigroups.
Generalized intervals and topology
Generalized join-hemimorphisms on Boolean algebras.
Generalized lattice identities in lattice ordered groups
Generalized ordering and partitions
Generalized -lattices of order ω+
Generalized - and -lattices of order ω+
Generalized periodic and generalized Boolean rings.
Generalized prime -filters of distributive lattices
The concept of generalized prime -filters is introduced in distributive lattices. Generalized prime -filters are characterized in terms of principal filters and ideals. The notion of generalized minimal prime -filters is introduced in distributive lattices and properties of minimal prime -filters are then studied with respect to congruences. Some topological properties of the space of all prime -filters of a distributive lattice are also studied.
Generalized versions of MV-algebraic central limit theorems
MV-algebras can be treated as non-commutative generalizations of boolean algebras. The probability theory of MV-algebras was developed as a generalization of the boolean algebraic probability theory. For both theories the notions of state and observable were introduced by abstracting the properties of the Kolmogorov's probability measure and the classical random variable. Similarly, as in the case of the classical Kolmogorov's probability, the notion of independence is considered. In the framework...
Generated fuzzy implications and fuzzy preference structures
The notion of a construction of a fuzzy preference structures is introduced. The properties of a certain class of generated fuzzy implications are studied. The main topic in this paper is investigation of the construction of the monotone generator triplet , which is the producer of fuzzy preference structures. Some properties of mentioned monotone generator triplet are investigated.
Generating functions for permutations which contain a given descent set.
Generating functions for Wilf equivalence under generalized factor order.
Generating methods for principal topologies on bounded lattices
In this paper, some generating methods for principal topology are introduced by means of some logical operators such as uninorms and triangular norms and their properties are investigated. Defining a pre-order obtained from the closure operator, the properties of the pre-order are studied.
Generating of a class of lattices and its application
Generating real maps on a biordered set.
Generating real maps on a biordered set
Several authors have defined operational quantities derived from the norm of an operator between Banach spaces. This situation is generalized in this paper and we present a general framework in which we derivate several maps from an initial one , where is a set endowed with two orders, and , related by certain conditions. We obtain only three different derivated maps, if the initial map is bounded and monotone.
Generating semigroups for complete atomistic ortholattices.