Abstract
Any non-empty set with four topologies is called a Quad topological space. Let X be a non-empty universal set. A fuzzy set \(\lambda\) : X \(\to\) [0,1] is a mapping from X into the unit interval I = [0,1], x \(\epsilon\) X for all . The purpose of this paper is to define the concept of fuzzy q-open set and fuzzy q-b open sets in fuzzy quad topological space .We describe some of the basic operations on fuzzy q-open sets and fuzzy q-b open sets. Furthermore, we discuss the properties of fuzzy q- continuous function and fuzzy q-b continuous function. we introduce the concept of fuzzy q-gb open sets and study fuzzy q-separation axioms and fuzzy q-b separation axioms in fuzzy quad topological space.
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