A novel parametric intuitionistic fuzzy entropy measure with applications to image edge detection

Authors

  • Vaishali Manish Joshi
    Symbiosis Institute of Technology, Symbiosis International (Deemed University), Pune 412115, India;
    Dr. Vishwanath Karad MIT World Peace University, Pune 411038, India
  • Javid Gani Dar
    Department of Applied Sciences, Symbiosis Institute of Technology, Symbiosis International (Deemed University), Pune 412115, India

Keywords:

Edge detection, Image processing, Rényi entropy, Intuitionistic fuzzy sets, Generalized fuzzy entropy

Abstract

In digital image processing, edge detection is a fundamental operation used to identify intensity discontinuities in an image. In this paper, we propose a novel one-parameter generalization of an entropy measure for intuitionistic fuzzy sets (IFSs). IFSs provide additional flexibility by incorporating membership, non-membership, and hesitation information. A proof of validity is given for the proposed measure, together with numerical and graphical demonstrations. The entropy measure is applied to generate an edge map in which pixels exhibiting higher uncertainty are marked as image edges. Experimental results for standard benchmark images and real photographic images demonstrate superior edge localization and improved quantitative performance compared with existing fuzzy-entropy-based techniques.

Dimensions

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Published

2026-07-22

How to Cite

A novel parametric intuitionistic fuzzy entropy measure with applications to image edge detection. (2026). Journal of the Nigerian Society of Physical Sciences, 8(3), 3359. https://doi.org/10.46481/jnsps.2026.3359

Issue

Volume 8, Issue 3, August 2026

Section

Mathematics & Statistics
Copyright & Licensing

Copyright (c) 2026 Vaishali Manish Joshi, Javid Gani Dar (Author)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

A novel parametric intuitionistic fuzzy entropy measure with applications to image edge detection. (2026). Journal of the Nigerian Society of Physical Sciences, 8(3), 3359. https://doi.org/10.46481/jnsps.2026.3359

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