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Issue:Similarity measures on cubic intuitionistic fuzzy sets

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Title of paper: Similarity measures on cubic intuitionistic fuzzy sets
Author(s):
M. Priyadharshini     0000-0002-9667-0820
Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore, Tamil Nadu, India
priyadharshini1501@gmail.com
D. Jayanthi     0000-0002-3066-1139
Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore, Tamil Nadu, India
jeyanthi_mat@avinuty.ac.in
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 31 (2025), Number 1, pages 48–63
DOI: https://doi.org/10.7546/nifs.2025.31.1.48-63
Download:  PDF (1012  Kb, File info)
Abstract: The primary objective of this study is to develop a similarity measure on cubic intuitionistic fuzzy sets. First, we have proposed a series of similarity measures on cubic intuitionistic fuzzy sets based on the geometric model, set-theoretic approach, and matching function. Additionally, examples are provided to demonstrate the effectiveness and importance of the proposed similarity measures. These examples address the decision-making problems based on the technique for order preference by similarity to an ideal solution (TOPSIS) method.
Keywords: Intuitionistic fuzzy set, Interval-valued intuitionistic fuzzy set, Cubic intuitionistic fuzzy set, Distance measure, Similarity measure.
AMS Classification: 03E72, 28E10, 94D05.
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