Since Chang [2] introduced fuzzy theory into topology, many authors have discussed various aspects of fuzzy topology. It is well known that weakly induced and induced topological spaces play an important role in L-topological spaces (see book [8]). According to their value ranges, L-topological spaces form different categories. Clearly, the investigation on their relationships is certainly impo...

Caminada and Amgoud have argued that logic-based argumentation systems should satisfy the intuitive and natural principles of logical closure and consistency. Prakken has developed this idea further for a richer logic. A question arises naturally whether a general structure guaranteeing the logical closure and consistency properties could be identified that is common for all underlying logics. ...

The generalized transitive closure operator can be used to ask and answer a number of sophisticated queries on a database which is viewed as a directed graph. These queries cannot be expressed in SQL or relational algebra and neither can they be answered by commercially available relational or object-oriented database systems. In this report we describe the design and implementation of the gene...

The purpose of this paper is to obtain sufficient bound estimates for harmonic functions belonging to the classes S∗ H [A,B], KH [A,B] defined by subordination, and we give some convolution conditions. Finally, we examine the closure properties of the operator D on these classes under the generalized Bernardi integral operator.

This article introduces a general way to bring alphanumerical attributes into a graphical system to manage treatings. This semantics supply is done by a spatial operator closure using two spatial concepts: Topology and Granularity. Two graphical operator improvements are proposed, derived from spatial operators.

We show that a P-complete language can be described by using the shuffle operator, shufle closure, union, concatenation, ICleene star and intersection on a finite alphabet.