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A novel distance and similarity measures on hesitant fuzzy sets with applications in pattern recognition

Publish Year: 1402
Type: Conference paper
Language: English
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CSCG05_104

Index date: 28 April 2024

A novel distance and similarity measures on hesitant fuzzy sets with applications in pattern recognition abstract

Distance and similarity measures are considered useful tools in a variety of scientific fields such as decision-making, pattern recognition, clustering analysis, medical diagnosis, etc. In this paper, we review the existing distance and similarity measures between hesitant fuzzy sets (HFSs) and show that in some cases they are not logical or efficient. So, we propose some improved distance and similarity measures for HFSs, considering the deviation degree as a hesitancy index for these sets. Comparing our novel measures with some existing distance measures shows that our proposed measures are reasonable and valid.

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A novel distance and similarity measures on hesitant fuzzy sets with applications in pattern recognition authors

M Najafi

Department of Mathematics, Velayat University;

A. Khosravi Tanak

Department of Statistics, Velayat University