Author
K.K Azad
Bio: K.K Azad is an academic researcher from Allahabad University. The author has contributed to research in topics: Fuzzy logic & Fuzzy measure theory. The author has an hindex of 3, co-authored 3 publications receiving 452 citations.
Papers
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430 citations
20 citations
TL;DR: F fuzzy stacks and fuzzy grills are introduced and some of the properties of sets of all fuzzy basic proximal neighborhoods of fuzzy sets are obtained and a necessary and sufficient condition for a fuzzy basic proximity to be a fuzzy proximity is obtained.
19 citations
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TL;DR: The fuzzy real line and its subspaces are illustrated, as well as certain categorical aspects of it, which make up the role and significance of fuzzy topology.
Abstract: CONTENTS Introduction ??0. Preliminaries: fuzzy sets ??1. Fuzzy topological spaces: the basic categories of fuzzy topology ??2. Fundamental interrelations between the category Top of topological spaces and the categories of fuzzy topology ??3. Local structure of fuzzy topological spaces ??4. Convergence structures in fuzzy spaces ??5. Separation in fuzzy spaces ??6. Normality and complete regularity type properties in fuzzy topology ??7. Compactness in fuzzy topology ??8. Connectedness in fuzzy spaces ??9. Fuzzy metric spaces and metrization of fuzzy spaces ??10. The fuzzy real line and its subspaces ??11. Fuzzy modification of a linearly ordered space ??12. Fuzzy probabilistic modification of a topological space ??13. The interval fuzzy real line ??14. On hyperspaces of fuzzy sets ??15. Another view of the subject of fuzzy topology and certain categorical aspects of it Conclusion: some reflections on the role and significance of fuzzy topology References
160 citations
01 May 2013
TL;DR: Some basic properties and characterization theorems for the γ-continuous functions in fuzzy bitopological spaces are examined and it is observed that every pairwise fuzzyγ-Continuous functions is pairwise warm precontinuous but the converse not true.
Abstract: In this paper we introduce the notion of γ-open sets and γ-continuous functions in fuzzy bitopological spaces. We examine some basic properties and prove some characterization theorems for the said functions. It is observed that every pairwise fuzzy γ-continuous functions is pairwise fuzzy precontinuous but the converse not true.
132 citations
TL;DR: This paper introduces and makes a preliminary study of fuzzy strongly semicontinuous, and fuzzy precontinuous mappings in the fuzzy setting.
117 citations
TL;DR: A new fuzzy topological category FUZZ is defined, which is a significant generalization of previous definitions and is the simplest setting yet constructed into which ordinary topology and these previous definitions may be placed.
104 citations
TL;DR: In this paper, the notion of fuzzy Hausdorff topological spaces is introduced and a few observations are made to establish the appropriateness of this notion and its applicability.
75 citations