In the formal and fully graded setting of Fuzzy Class Theory (or higher-order fuzzy logic) we make an initial investigation into basic notions of fuzzy topology. In particular we study graded notions of fuzzy topology regarded as a fuzzy system of open or closed fuzzy sets and as a fuzzy system of fuzzy neighborhoods. We show their basic graded properties and mutual relationships provable in Fu...

A fuzzy controller for the closed loop control, by insulin infusion of glycaemia in type 1 diabetic patients is proposed. The controller uses type-2 fuzzy sets. The controller was tested in simulation using a complex nonlinear model of the glucose metabolism. Simulation results confirm the effectiveness and the robustness of the type-2 fuzzy logic controller. The design of the controller uses a...

Welcome to the Journal of Intelligent and Fuzzy Systems’s special issue for “FUZZYSS’2009: 1st International Fuzzy Systems Symposium”. Since its introduction by Prof. Lotfi A. Zadeh fuzzy logic has found numerous applications in many diverse areas. Scientific research related to fuzzy logic and its extensions is still an open and promising active research area. There is still a very long way to...

The concept of strongly α-irresolute mappings by G. Faro Lo [4] has been extended in topological spaces. We introduce and study fuzzy strongly αirresolute maps on fuzzy topological spaces. Some of its properties have also been investigated. Relation between fuzzy strongly α-irresolute and fuzzy αcontinuous map has also been established. The stronger form of fuzzy αcontinuous map is strongly α-i...

Given a reference lattice (X,⊑), we define fuzzy intervals to be the fuzzy sets such that their pcuts are crisp closed intervals of (X,⊑). We show that: given a complete lattice (X,⊑) the collection of its fuzzy intervals is a complete lattice. Furthermore we show that: if (X,⊑) is completely distributive then the lattice of its fuzzy intervals is distributive.

Based on fuzzy gp*-closed sets and gp*-open sets, in this paper we have introduced gp*- neighborhoods, gp*-Interior gp*-Closure. Also investigated some of their elementary properties discuss important theorems