In this paper, we introduce the concept of average total domination on a Pythagorean anti fuzzy graph and determine the exact value of average total domination number of some standard Pythagorean anti fuzzy graphs.

anti fuzzy graph, Pythagorean anti fuzzy graph, total domination, lower domination, average domination.

Received: December 12, 2022; Accepted: February 21, 2023; Published: April 24, 2023

How to cite this article: U. Syedul Fahima and V. Maheswari, Average total domination on a Pythagorean anti fuzzy graph, Advances in Fuzzy Sets and Systems 28(1) (2023), 21-29. http://dx.doi.org/10.17654/0973421X23002

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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