Issue:On a new expanding modal-like operator on intuitionistic fuzzy sets

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Title of paper: On a new expanding modal-like operator on intuitionistic fuzzy sets Author(s): Peter Vassilev Dept. of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Block 105, 1113 Sofia, Bulgaria peter.vassilev@gmail.com Vassia Atanassova Dept. of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Block 105, 1113 Sofia, Bulgaria vassia.atanassova@gmail.com Published in: Notes on Intuitionistic Fuzzy Sets, Volume 30 (2024), Number 4, pages 368–373 DOI: https://doi.org/10.7546/nifs.2024.30.4.368-373 Download:  PDF (284  Kb, File info) Abstract: In the present paper we define a new operator similar to the operator [math]\displaystyle{ F_{\alpha, \beta} }[/math], but having multiplicative nature. We study some of its properties and provide illustrative examples. Keywords: Intuitionistic fuzzy set, Modal operator, Extended modal operator. AMS Classification: 03E72. References: Atanassov, K. (1983). Intuitionistic fuzzy sets. VII ITKR’s Session, Sofia, June 1983 (Deposed in Central Sci.-Techn. Library of Bulg. Acad. of Sci., 1697/84) (in Bulg.). Atanassov, K. T. (1988). Review and new results on intuitionistic fuzzy sets. Mathematical Foundations of Artificial Intelligence Seminar, Sofia, 1988, Preprint IM-MFAIS-1-88. Atanassov, K. (2004). New operators over intuitionistic fuzzy sets. In: Proceedings of IPMU’04, Perugie, Italy, Vol. 2, 1383–1387. Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8, 338–353. Citations: The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.