(R1965) Some More Properties on Generalized Double Fuzzy Z Alpha Open Sets

Authors

K. Jayapandian, J. J. College of Arts and Science (Autonomous), Affiliated to Bharathidasan University
A. Saivarajan, Rajah Serfoji Government College (Autonomous)
O. Uma Maheswari, J. J. College of Arts and Science (Autonomous), Affiliated to Bharathidasan University
J. Sathiyaraj, Government Arts College (Autonomous)

Abstract

In this paper, a new class of sets termed as double fuzzy generalized Z alpha closed sets and double fuzzy generalized Z alpha open sets are introduced with the help of double fuzzy Z alpha open and double fuzzy Z alpha closed sets, respectively. Using these sets double fuzzy generalized Z alpha border, double fuzzy generalized Z alpha exterior and double fuzzy generalized Z alpha frontier of a fuzzy set in double fuzzy topological spaces are introduced. Also, the topological properties and characterizations of these sets and operators are studied. Furthermore, suitable examples have been provided to illustrate the theory.

Recommended Citation

Jayapandian, K.; Saivarajan, A.; Maheswari, O. Uma; and Sathiyaraj, J. (2023). (R1965) Some More Properties on Generalized Double Fuzzy Z Alpha Open Sets, Applications and Applied Mathematics: An International Journal (AAM), Vol. 18, Iss. 1, Article 15.
Available at: https://digitalcommons.pvamu.edu/aam/vol18/iss1/15