Issue:Four interval-valued intuitionistic fuzzy modal-level operators

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Title of paper: Four interval-valued intuitionistic fuzzy modal-level operators Author(s): Krassimir Atanassov Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 105, Sofia 1113, Bulgaria Intelligent Systems Laboratory, Prof. Asen Zlatarov University, Burgas 8010, Bulgaria krat@bas.bg Published in: Notes on Intuitionistic Fuzzy Sets, Volume 25 (2019), Number 3, pages 13–25 DOI: 10.7546/nifs.2019.25.3.13-25 Download:  PDF (237  Kb, File info) Abstract: Four new interval-valued intuitionistic fuzzy operators are introduced. It is shown for them that they exhibit behaviour similar both to the modal, as well as to the level operators defined over interval-valued intuitionistic fuzzy sets, and for this reason, they are called interval-valued intuitionistic fuzzy modal-level operators. Their basic properties are discussed Keywords: Interval-valued intuitionistic fuzzy set, Interval-valued intuitionistic fuzzy operator. AMS Classification: 03E72 References: Angelova, N., & Stoenchev, M. (2015/2016). Intuitionistic fuzzy conjunctions and disjunctions from first type. Annual of “Informatics” Section, Union of Scientists in Bulgaria, 8, 1–17. Angelova, N., Stoenchev, M., & Todorov, V. (2017). Intuitionistic fuzzy conjunctions and disjunctions from second type. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 13, 143–170. Angelova, N., & Stoenchev, M. (2017). Intuitionistic fuzzy conjunctions and disjunctions from third type. Notes on Intuitionistic Fuzzy Sets, 23 (5), 29—41. Atanassov, K. (1999). Intuitionistic Fuzzy Sets: Theory and Applications, Springer, Heidelberg. Atanassov, K. (2012). On Intuitionistic Fuzzy Sets Theory, Springer, Berlin. Atanassov, K. (2014). Index Matrices: Towards an Augmented Matrix Calculus, Springer, Cham. Atanassov, K. (2018). On interval-valued intuitionistic fuzzy modal operators. Notes on Intuitionistic Fuzzy Sets, 24 (1), 1–12. Atanassov, K. (2018). Intuitionistic fuzzy modal operators of second type over interval-valued intuitionistic fuzzy sets. Part 1. Notes on Intuitionistic Fuzzy Sets, 24 (2), 8–17. Atanassov, K. (2018). Intuitionistic fuzzy modal operators of second type over interval-valued intuitionistic fuzzy sets. Part 2. Notes on Intuitionistic Fuzzy Sets, 24 (3), 1–10. Atanassov, K., & Gargov, G. (1989) Interval valued intuitionistic fuzzy sets. Fuzzy Sets and Systems, 31 (3), 343–349. Atanassov K., Mavrov, D., & Atanassova, V. (2014). Intercriteria Decision Making: A New Approach for Multicriteria Decision Making, Based on Index Matrices and Intuitionistic Fuzzy Sets. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 11, 1—8. Cuvalcioglu, G. (2007). Some properties of Eα,β operator. Advanced Studies in Contemporary Mathematics, 14 (2), 305–310. Traneva, V., & Tranev, S. (2017). Index Matrices as a Tool for Managerial Decision Making, Publ. House of the Union of Scientists in Bulgaria (in Bulgarian). 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.