Normal spaces associated with fuzzy nano \( M \)-open sets and its application

Volume 29, Issue 2, pp 156--166 http://dx.doi.org/10.22436/jmcs.029.02.05

Publication Date: August 30, 2022 Submission Date: April 20, 2022 Revision Date: May 31, 2022 Accteptance Date: July 11, 2022

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Authors

V. Kalaiyarasan - Department of Mathematics , Jaya Engineering College, Tiruvallur, Tamil Nadu- 602 024, India. S. Tamilselvan - Mathematics Section (FEAT), Annamalai University, Annamalai Nagar - 608 002, India. A. Vadivel - PG and Research Department of Mathematics, Government Arts College (Autonomous), Karur - 639 005, India. - Department of Mathematics, Annamalai University, Annamalai Nagar - 608 002, India. C. John Sundar - Department of Mathematics, Annamalai University, Annamalai Nagar - 608 002, India.

Abstract

In this paper, we introduce some new spaces called fuzzy nano \( M \) normal spaces and strongly fuzzy nano \( M \) normal spaces with the help of fuzzy nano \( M \) open sets in fuzzy nano topological space. Also, find their relations among themselves and with already existing spaces. Also, we study some basic properties and the characterizations of these normal spaces. The stated properties are quantified with numerical data. Furthermore, an algorithm for Multiple Attribute Decision-Making (MADM) with an application regarding candidates choose their works by using fuzzy nano topological spaces is developed.

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Keywords

• Fuzzy nano open set
• fuzzy nano \( M \)-open set
• fuzzy nano \( M \)-closed set
• fuzzy nano \( M \) normal space
• strongly fuzzy nano \( M \) normal space
• fuzzy score function

MSC

•  03E72
•  54A05
•  54A40

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