Category theory and its applications

FUZZY SOFT SET THEORY AND ITS APPLICATIONS

In this work, we define a fuzzy soft set theory and its related properties. We then define fuzzy soft aggregation operator that allows constructing more efficient decision making method. Finally, we give an example which shows that the method can be successfully applied to many problems that contain uncertainties.

fuzzy soft set theory and its applications

in this work, we define a fuzzy soft set theory and its related properties. we then define fuzzy soft aggregation operator that allows constructing more efficient decision making method. finally, we give an example which shows that the method can be successfully applied to many problems that contain uncertainties.

Applications of Sup-lattice Enriched Category Theory to Sheaf Theory

Grothendieck toposes are studied via the process of taking the associated Sl-enriched category of relations. It is shown that this process is adjoint to that of taking the topos of sheaves of an abstract category of relations. As a result, pullback and comma toposes are calculated in a new way. The calculations are used to give a new characterization of localic morphisms and to derive interpola...

Operator theory and its applications

Improvement Theory and its Applications

An improvement theory is a variant of the standard theories of observational approximation (or equivalence) in which the basic observations made of a functional program’s execution include some intensional information about, for example, the program’s computational cost. One program is an improvement of another if its execution is more efficient in any program context. In this article we give a...