07/01/2025
🌟 Thrilled to Announce Our Latest Publication! 🌟
The ASAM group is delighted to share that the paper, “Generalisation of the Signed Distance”, co-authored by Dr. Rédina Berkachy and Prof. Laurent Donzé, has been published in the journal Mathematics (MDPI). This milestone concludes 2024 on a high note! 🎉
📚 What’s it about?
This work addresses limitations in the widely used signed distance metric for fuzzy numbers. We propose two novel generalizations:
- Balanced Signed Distance (BSGD)
- Generalised Signed Distance (GSGD)
These metrics are designed to handle asymmetry, irregular shapes, and overlaps more effectively, offering enhanced precision in computational mathematics and fuzzy set theory.
📌 Why it matters:
The findings aim to advance applications in areas like decision-making systems, data analysis, and modelling uncertainty, opening the door to further innovation.
🔗 Read the full paper here: https://www.mdpi.com/3101816
Feel free to check the paper and to reach out...🥳
MDPI
This paper presents a comprehensive study of the signed distance metric for fuzzy numbers. Due to the property of directionality, this measure has been widely used. However, it has a main drawback in handling asymmetry and irregular shapes in fuzzy numbers. To overcome this rather bad feature, we in...