in this paper, new definitions of $l$-fuzzy closure operator, $l$-fuzzy interior operator, $l$-fuzzy remote neighborhood system, $l$-fuzzy neighborhood system and $l$-fuzzy quasi-coincident neighborhood system are proposed. it is proved that the category of $l$-fuzzy closure spaces, the category of $l$-fuzzy interior spaces, the category of $l$-fuzzy remote neighborhood spaces, the category of ...

In this paper we focus on a time-extended theory of contact. It turns out that a suitable theory can be defined using L-valued or L-fuzzy version of a contact relation. We study this structure in the context of Goguen categories a suitable categorical formalization of L-valued/fuzzy relations.

the automatic assignment of protein secondary structure from three dimensional coordinates is an essentialstep in the characterization of protein structure.although, the recognition of secondary structures suchas alpha-helices and beta-sheets seem straightforward, but there are many different definitions, eachregarding different criteria. we have developed a newalgorithm for protein helix assig...

In this paper the concepts of sectional intuitionistic fuzzy continuous mapping, l -intuitionistic fuzzy compact sets and asymptotic intuitionistic fuzzy normal structure are introduced. Schauder type and Baillon and Schoneberg type fixed point theorems are also established in an intuitionistic fuzzy n -normed linear space.

The formal system L of fuzzy propositional logic has been successfully applied to the joint research of fuzzy logic and fuzzy reasoning. The current paper further studies the syntactic structure of the system L, presents several new results with respect to this system. Especially, a simplified system which contains only seven axioms is proposed, and the system is found to be equivalent to the o...

The purpose of this paper is to prove a Tychonoff theorem in the so-called “intuitionistic fuzzy topological spaces.” After giving the fundamental definitions, such as the definitions of intuitionistic fuzzy set, intuitionistic fuzzy topology, intuitionistic fuzzy topological space, fuzzy continuity, fuzzy compactness, and fuzzy dicompactness, we obtain several preservation properties and some ...

in this paper, we investigate the l-fuzzy proximities and the relationships betweenl-fuzzy topologies, l-fuzzy topogenous order and l-fuzzy uniformity. first, we show that the category of-fuzzy topological spaces can be embedded in the category of l-fuzzy quasi-proximity spaces as a coreective full subcategory. second, we show that the category of l -fuzzy proximity spaces is isomorphic to the ...

After the introduction of fuzzy sets by Zadeh, there have been a number of generalizations of this fundamental concept. The notion of intuitionistic fuzzy sets introduced by Atanassov is one among them. Using the notion of intuitionistic fuzzy sets, Çoker [5] introduced the notion of intuitionistic fuzzy topological spaces. In this paper, we define the notion of intuitionistic fuzzy semiopen (r...