The Laplacian energy of an intuitionistic fuzzy rough graph and its utilisation in decision-making

• Authors: NOORJAHAN Shaik , SHARIEF BASHA Shaik
• Languages of publication: EN

Abstracts

EN

An intuitionistic fuzzy rough model is a hybrid model that combines intuitionistic fuzzy sets and rough sets, addressing soft computing and ambiguity. It uses lower and upper approximation spaces in various fields, including science, technology, database systems, computer networks, and expert system architecture. The matrix of adjacency of an intuitionistic fuzzy rough graph is described in the article. The matrix of adjacency also provides the upper and lower bounds for Laplacian energy. These are used to define the Laplacian energies of intuitionistic fuzzy rough graphs and the weight function of Laplacian energy within these graphs. The intuitionistic fuzzy rough preference relation method is used for processing the intuitionistic fuzzy rough weighted average. This technique is applied in data visualizations, which make data understandable by displaying it in a graphical or pictorial style. It supports decision-making and provides factual justification. This approach benefits any field that needs creative methods for presenting large volumes of complex data. Modern computer graphics have significantly influenced visualization.

Keywords

EN

Laplacian energy (LE); intuitionistic fuzzy rough graph (IFRG); data visualization and decision-making

• Publisher: Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
• Journal: Operations Research and Decisions
• Year: 2025
• Volume: 35
• Issue: 1
• Pages: 81-107

Contributors

author

NOORJAHAN Shaik

• Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

author

SHARIEF BASHA Shaik

• Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

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Identifiers

DOI

10.37190/ord250104