Domination and product domination in intuitionistic fuzzy soft graphs

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.

Authors

Institutions

Publication Details

Journal
International Journal of Advanced Intelligence Paradigms
Published
2025-01-01
DOI
https://doi.org/10.1504/ijaip.2025.147661
Citations
1
Primary Topic
Fuzzy and Soft Set Theory
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Domination and product domination in intuitionistic fuzzy soft graphs

Madhumangal Pal, Shah Hussain, R. Jahir Hussain, Anita Pal et al.
1 citations
International Journal of Advanced Intelligence Paradigms
Fuzzy and Soft Set Theory
article

Domination and product domination in intuitionistic fuzzy soft graphs

Madhumangal Pal, Shah Hussain, R. Jahir Hussain, Anita Pal, Sankar Sahoo
article en
1 citations

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.

International Journal of Advanced Intelligence ParadigmsVol. 30(3)
National Institute of Technology Tiruchirappalli (IN), National Institute of Technology Durgapur (IN), Vidyasagar University (IN)
Openalex Percentile: Top 79%
Fuzzy and Soft Set Theory
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.