Advances in Fuzzy Sets and Systems

The Advances in Fuzzy Sets and Systems publishes original research papers in the field of fuzzy sets and systems, covering topics such as artificial intelligence, robotics, decision-making, and data analysis. It also welcomes papers on variants of fuzzy sets and algorithms for computational work.

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AVERAGE TOTAL DOMINATION ON A PYTHAGOREAN ANTI FUZZY GRAPH

Authors

  • U. Syedul Fahima
  • V. Maheswari

Keywords:

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

DOI:

https://doi.org/10.17654/0973421X23002

Abstract

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.

Received: December 12, 2022
Accepted: February 21, 2023

References

V. Maheswari, U. Syedul Fahima and K. Bala Deepa Arasi, Regular property on product of Pythagorean anti fuzzy graph, J. Phys.: Conf. Ser. 1947 (2021), 012029.

V. Maheswari and U. Syedul Fahima, Average domination on anti fuzzy graph, Advances and Applications in Mathematical Sciences 21(3) (2022), 1249-1258.

N. Meenal, M. Ilaiyaraja and Manju Jose, Average total domination number on graphs, Journal of Emerging Technologies and Innovative Research 6(1) (2019), 54-61.

R. Muthuraj and A. Sasirekha, Domination on anti fuzzy graph, International Journal of Mathematical Archive 9(5) (2018), 82-92.

R. Seethalakshmi and R. B. Gnanajothi, Operations on anti fuzzy graphs, Mathematical Sciences International Research Journal 5(2) (2016), 210-214.

Sumera Naz, Samina Ashraf and Muhammad Akram, A novel approach to decision-making with Pythagorean fuzzy information, MDPI Journal 6(95) (2018), 1-28.

R. R. Yager, Pythagorean fuzzy subsets, Proceedings of Joint IFSA World Congress and NAFIPS Annual Meeting, Edmonton, Canada, 2013, pp. 57-61.

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Published

2023-04-24

Issue

Vol. 28 No. 1 (2023)

Section

Articles

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Copyright (c) 2023 Pushpa Publishing House, Prayagraj, India

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How to Cite

AVERAGE TOTAL DOMINATION ON A PYTHAGOREAN ANTI FUZZY GRAPH. (2023). Advances in Fuzzy Sets and Systems, 28(1), 21-29. https://doi.org/10.17654/0973421X23002

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