Some aspects of fuzzy (b,$\theta$)-open sets in fuzzy topology

Abstract

The purpose of this article is to define fuzzy (b,$\theta$)-quasi neighbourhood using the concept of fuzzy (b,$\theta$)-open sets introduced by Dutta and Tripathy with some structural properties by defining the (b,$\theta$)-cluster point in a different way. Moreover, our second objective is to introduce the notion of fuzzy (b,$\theta$)-continuous functions and fuzzy strongly (b,$\theta$)-continuous functions using this type of nearly open sets and to establish several characterizations.