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Issue:Operators on circular interval-valued intuitionistic fuzzy sets

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Title of paper: Operators on circular interval-valued intuitionistic fuzzy sets
Author(s):
P. Gajalaxmi
Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore, Tamil Nadu, India
pgajalaxmi1004@gmail.com
D. Jayanthi
Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore, Tamil Nadu, India
jeyanthi_mat@avinuty.ac.in
M. Priyadharshini
Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore, Tamil Nadu, India
priyadharshini1501@gmail.com
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 1, pages 51–67
DOI: https://doi.org/10.7546/nifs.32.1.51-67
Download:  PDF (256  Kb, File info)
Abstract: A circular interval-valued intuitionistic fuzzy set extends the concept of a circular intuitionistic fuzzy set by incorporating membership and non-membership degrees, which are represented as closed intervals with a given radius r, both confined within the range [0,1]. The geometrical representation of a circular interval-valued intuitionistic fuzzy set is given. A few fundamental operators and their properties have been discussed. To develop a circular interval-valued intuitionistic fuzzy set from an interval-valued intuitionistic fuzzy set, two methods have been presented, and an instance is provided to illustrate.
Keywords: Interval-valued intuitionistic fuzzy sets, Circular interval-valued intuitionistic fuzzy sets, Circular intuitionistic fuzzy set, Operators.
AMS Classification: 03E72, 28E10.
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