Domination in Pythagorean Neutrosophic Graphs with an Application in Fuzzy Intelligent Decision Making

Ajay D., Borg S. J., Chellamani P.

4th International Conference on Intelligent and Fuzzy Systems (INFUS), Bornova, Turkey, 19 - 21 July 2022, vol.505, pp.667-675 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 505
  • Doi Number: 10.1007/978-3-031-09176-6_74
  • City: Bornova
  • Country: Turkey
  • Page Numbers: pp.667-675
  • Keywords: Pythagorean neutrosophic set, Pythagorean neutrosophic graphs, Domination, Decision making, Fuzzy graphs
  • Istanbul University Affiliated: No

Abstract

Pythagorean Neutrosophic set is regarded as an advancement of neutrosophic set representing incomplete, imprecise and uncertain details. The notable significance of the Pythagorean neutrosophic graphs (PNG) in comparison with fuzzy graphs is its resilient fuzziness than other models. This paper studies the domination in Pythagorean Neutrosophic graphs by assigning indeterminacy values independently and whereas the membership and non-membership values are dependent. The ideas of the minimal, maximal dominating set are defined on Pythagorean Neutrosophic graphs with their characterizations and examples. Few definitions and properties related to domination in Pythago-rean neutrosophic graphs are presented in this article. A novel technique on decision-making for Pythagorean neutrosophic graphs is demonstrated with an application.