‎In this paper, we provide a complete description of weighted composition operators between extended Lipschitz algebras on compact metric spaces. We give necessary and sufficient conditions for the injectivity and the sujectivity of these operators. We also obtain some sufficient conditions and some necessary conditions for a weighted composition operator between these spaces to be compact.

The notion of entropy was introduced by Clausius in 1850, and some of the main steps towards the consolidation of the concept were taken by Boltzmann and Gibbs. Since then several extensions and reformulations have been developed in various disciplines with motivations and applications in different subjects, such as statistical mechanics, information theory, and dynamical systems. Fujii and Kam...

Interval-valued intuitionistic fuzzy sets (IVIFSs) are widely used to handle uncertainty and imprecision in decision making. However, in more complicated environment, it is difficult to express the uncertain information by an IVIFS with considering the decision-making preference. Hence, this paper proposes a group generalized interval-valued intuitionistic fuzzy soft set (G-GIVIFSS) which conta...

Description iogics (aiso caiied terminoiogicai iogics, or concept ianguagesj are fragments of first-order logic that provide a formal account of the basic features of frame-based systems. However, there are aspects of frame-based systems-such as nonmonotonic reasoning and procedural rules-that cannot be characterized in a standard first-order framework. Such features are needed for real applica...

We present a new refinement operator that guides an ILP search through a lattice of a Horn clause representation of Description Logic (DL) clauses. Our operator dramatically narrows the search space by being aware of syntactic restrictions on the Horn representation stemming from both the syntax and semantics of DLs as well as from axioms present in the specific background of each experiment.

We adopt the so–called occupation number representation, originally used in quantum mechanics and recently considered in the description of stock markets, in the analysis of the dynamics of love relations. We start with a simple model, involving two actors (Alice and Bob): in the linear case we obtain periodic dynamics, whereas in the nonlinear regime either periodic or quasiperiodic solutions ...