The concept of an Intuitionistic Fuzzy Modal Topological Structure (IFMTS) or for brevity, Topology (IFMT), is introduced. It proved that the two standard intuitionistic fuzzy topological operators C and I, modal ? ? generate different IFMTs. Some basic properties both IFMTs are discussed. important These will be a basis next research on IFMTSs. Ideas future development IFMT theory formulated.

This paper investigates roughness of fuzzy soft sets. A pair of fuzzy soft rough approximations is proposed and their properties are given. Based on fuzzy soft rough approximations, the concept of fuzzy soft rough sets is introduced. New types of fuzzy soft sets such as full, intersection complete and union complete fuzzy soft sets are defined and supported by some illustrative examples. We obt...

We propose a new approach to functional regression based on fuzzy evidence theory. This method uses a training set for computing a fuzzy belief structure which quantiies diierent types of uncertainties, such as nonspeciicity, connict, or low density of input data. The method can cope with a very large class of training data, such as numbers, intervals , fuzzy numbers, and, more generally, fuzzy...

In this paper we extend the notion of  degrees of membership and non-membership of intuitionistic fuzzy sets to lattices and  introduce a residuated lattice with appropriate operations to serve as semantics of intuitionistic fuzzy logic. It would be a step forward to find an algebraic counterpart for intuitionistic fuzzy logic. We give the main properties of the operations defined and prove som...

Using a system of axioms among with a modified definition of boundary on the basis of the intuitionistic fuzzy sets, we formulate an inductive structure for the dimension of fuzzy spaces which has been defined by Coker. This new definition of boundary allows to characterize an intuitionistic fuzzy clopen set as a set with zero boundary. Also, some critical properties and applications are establ...

Our aim in this paper is to introduce the notion of fuzzy soft near-subtraction semigroups and fuzzy soft ideals of near-subtraction semigroups. We discuss some important properties of these new fuzzy algebraic structure and investigate some examples and counter examples.

* Department of Teacher Training in Electrical Engineering, Faculty of Technical Education, King’s Mongkut Institute of Technology North Bangkok. Abstract This paper describes fuzzy sliding-mode control (FSMC), a fuzzy logic control based upon variable structure techniques. A variable structure approach is designed with guaranteed stability properties. A ball and beam system is used here as an ...

In this paper, we dene the concepts of compatibility between twofuzzy subsets on Q, the set of states of a max- min general fuzzy automatonand transitivity in a max-min general fuzzy automaton. We then construct auniform structure on Q, and dene a topology on it. We also dene the conceptof semi-uniform structures on a nonempty set X and construct a semi-uniformstructure on the set of states of ...

The main problem in constructing fuzzy systems consists on finding an initial structure for it. The structure of fuzzy systems is composed of the number of fuzzy sets partitioning each variable and their distribution in the universe of discourse. This paper proposes the use of the autonomous-mountain clustering method to identify this structure for applications in fuzzy systems modeling. To inv...