in this paper the concept of an $omega$- almost boolean ring is introduced and illistrated how a sheaf of algebras can be constructed from an $omega$- almost boolean ring over a locally boolean space.

Boolean and pseudo-Boolean functions play a central role in various areas of applied mathematics. We will focus here on their use in decision making, cooperative game theory, and engineering reliability theory. A discrete fuzzy measure on the finite set X = {1, . . . ,n} is a nondecreasing set function μ : 2 → [0,1] satisfying the boundary conditions μ(∅) = 0 and μ(X) = 1. For any subset S ⊆ X ...

Qualitative thematic maps are graphic representations of the process of areal differentiation, a process recognized as one of the hallmarks of the geographer’s craft and one of geography’s grand traditions. Traditionally the process can best be described as classification based on Boolean Set Theory wherein the area bounded by the cartographic line is considered to be in that class for the targ...

This paper introduces the implicative derivations and gives some of their characterizations on MTL-algebras. Furthermore, we provide representation MTL-algebras by obtain Boolean algebra via all derivations. Finally, explore relationship between derivation other operators show that there exists a bijection sets multiplier IMTL-algebras. The results this can common properties in t-norm-based fuz...

The treatment of complex systems often requires the manipulation of vague, imprecise and uncertain information. Indeed, the human being is competent in handling of such systems in a natural way. Instead of thinking in mathematical terms, humans describes the behavior of the system by language proposals. In order to represent this type of information, Zadeh proposed to model the mechanism of hum...