Introduction § 0. Preliminaries: fuzzy sets 125 § 1. Fuzzy topological spaces: the basic categories of fuzzy topology 127 § 2. Fundamental interrelations between the category Top of topological 135 spaces and the categories of fuzzy topology § 3. Local structure of fuzzy topological spaces 138 § 4. Convergence structures in fuzzy spaces 140 § 5. Separation in fuzzy spaces 143 § 6. Normality and...

After the introduction of fuzzy sets by Zadeh [15] in 1965 and fuzzy topology by chang [4] in 1967. Several researches were conducted on the generalizations of the notions of fuzzy sets and fuzzy topology. The concept of intuitionistic fuzzy sets was introduced by Atanassov [1] as a generalization of fuzzy sets . In the last 20 years various concepts of fuzzy mathematics have been extended for ...

Abstract In this paper, we introducing fuzzy neutrosophic supra first countable (FNS - FCS), second (FNS- SCS) and compactness compactness), Q μ compactness) in topological space (FNSTS). derive the union of two FNS – compact spaces is also similarly space. Also define some theorems using finite intersection property productive property. Finally observe that our notions preserve under one one, ...

The theories of metric spaces and fuzzy are crucial topics in mathematics. 
 Compactness is one the most important fundamental properties that have been widely used Functional Analysis. In this paper, definition compact soft space introduced some its theorems investigated. Also, sequentially locally defined relationships between them studied. Moreover, each previous two concepts several ot...

In this paper, a new cluster validity criterion for fuzzy c-regression models (FCRM) clustering algorithm with affine linear functional cluster representatives is proposed. The proposed cluster validity criterion calculates the overall compactness and separateness of the FCRM partition and then determines the appropriate number of clusters. Besides, its application to fuzzy model identification...