Title: Domination and product domination in intuitionistic fuzzy soft graphs

Authors: R. Jahir Hussain; S. Satham Hussain; Sankar Sahoo; Madhumangal Pal; Anita Pal

Addresses: PG and Research Department of Mathematics, Jamal Mohamed College, Tiruchirappalli – 620 020, Tamil Nadu, India ' PG and Research Department of Mathematics, Jamal Mohamed College, Tiruchirappalli – 620 020, Tamil Nadu, India ' Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore – 721 102, India ' Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore – 721 102, India ' Department of Mathematics, National Institute of Technology Durgapur, Durgapur 713 209, India

Abstract: This manuscript deals with the domination and product domination of intuitionistic fuzzy soft graphs. By using the concept of strength of a path, strength of connectedness and strong arc, the domination set is established. The necessary and sufficient condition for the minimum domination set of intuitionistic fuzzy soft graph is investigated. Further some properties of domination number of product intuitionistic fuzzy soft graphs are also obtained and the proposed concepts are described with suitable examples. The weight for a domination of intuitionistic fuzzy soft graph is also established.

Keywords: intuitionistic graphs; fuzzy soft graphs; product domination; strength of connectedness; weight of a graph.

DOI: 10.1504/IJAIP.2025.147661

International Journal of Advanced Intelligence Paradigms, 2025 Vol.30 No.3, pp.227 - 246

Received: 17 Apr 2018
Accepted: 12 Jan 2019
Published online: 25 Jul 2025 *

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