Article overview
Abstract
In this paper a new type of fuzzy regular space is introduced and studied by introducing fuzzy $\beta$-preopen set, the class of which is strictly larger than that of fuzzy open set as well as fuzzy preopen set. Here we also introduce two new types of functions, viz., fuzzy $\beta$-precontinuous and fuzzy $\beta$-preirresolute functions. Lastly, the application of fuzzy $\beta$-precontinuous function on fuzzy $\beta$-preregular space is shown here.
Keywords and Phrases
Fuzzy $\beta$-preopen setfuzzy $\beta$-preregular spacefuzzy $\beta$-precontinuous functionfuzzy $\beta$-preirresolute functionfuzzy $\beta$-preopen $q$-nbd.
AMS Subject Classification
54A40, 03E72.
Reference information
How to Cite
Anjana Bhattacharyya (2022). $\beta$-PREREGULAR SPACE IN FUZZY SETTING. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 10(1), 139-152.