Some Properties of Fuzzy q-open Set and Fuzzy q-b Open Set in Fuzzy Quad Topological Space

Authors

  • Ranu Sharma Department of Applied Mathematics and Computational Science, SGSITS, Indore, India.
  • Bhagyashri A. Deole Department of Applied Mathematics and Computational Science, SGSITS, Indore, India.
  • Smita Verma Department of Applied Mathematics and Computational Science, SGSITS, Indore, India.

DOI:

https://doi.org/10.9734/bpi/ramrcs/v10/14395D

Keywords:

Fuzzy quad topology, fuzzy q-open set, fuzzy q-b open sets, fuzzy q-gb open sets, fuzzy q-b continuous function, fuzzy q-b separation

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.

Published

2022-03-22

How to Cite

Ranu Sharma, Bhagyashri A. Deole, & Smita Verma. (2022). Some Properties of Fuzzy q-open Set and Fuzzy q-b Open Set in Fuzzy Quad Topological Space. Recent Advances in Mathematical Research and Computer Science Vol. 10, 27–40. https://doi.org/10.9734/bpi/ramrcs/v10/14395D

Issue

Recent Advances in Mathematical Research and Computer Science Vol. 10

Section

Chapters