Fuzzy Similarity based on Subtraction Set Pair Potential and its Applications

Zihang Zhao; Hongkui Hu

doi:10.6919/ICJE.202510_11(10).0011

Authors

Zihang Zhao
Hongkui Hu

DOI:

https://doi.org/10.6919/ICJE.202510_11(10).0011

Keywords:

Intuitionistic Fuzzy Set; Similarity Measure; Connection Number; Subtraction Set Pair Potential; Multi-attribute Decision Making.

Abstract

To address the issue where existing intuitionistic fuzzy set similarity measurement methods struggle to distinguish samples in several special data cases, a novel intuitionistic fuzzy similarity calculation method is proposed by delving into the dynamic characteristics among membership, hesitation, and non - membership degrees, and incorporating the subtraction set pair potential from the set pair analysis theory. The basic properties of intuitionistic fuzzy similarity are verified for this method. By calculating several special data cases to test its discriminability and comparing it with multiple existing measurement methods, results show that it effectively overcomes the problem of indistinguishable samples in special data cases. Furthermore, the traditional TOPSIS decision - making model is improved by presenting a pre - scoring TOPSIS model that integrates the subtraction set pair potential. Finally, the new intuitionistic fuzzy set similarity calculation method is combined with this model and applied to multi - attribute decision - making, demonstrating its reliability and effectiveness.

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