Issue:Fuzzification functions for temporal intuitionistic fuzzy sets

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Title of paper: Fuzzification functions for temporal intuitionistic fuzzy sets 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 1–12 DOI: https://doi.org/10.7546/nifs.2019.25.3.1-12 Download:  PDF (2797  Kb, File info) Abstract: Fuzzification functions play a vital role in the development of fuzzy sets which handle uncertainty and vagueness more efficiently than Cantorian sets. In this paper, some standard fuzzification functions for temporal intuitionistic fuzzy sets are defined which are useful to deal with dynamical systems with uncertainty. The paper describes some standard models to explicitly incorporate time as a variable through which temporal reference of the object is included. Further, the so defined functions are illustrated with suitable examples. Keywords: Intuitionistic fuzzy sets, Temporal intuitionistic fuzzy sets, Temporal intuitionistic fuzzification functions. AMS Classification: 03E72 References: Atanassov, K. (1983). Intuitionistic fuzzy sets, VII ITKR’s session, Sofia, June 1983 (Deposed in central Science-Technical Library of Bulg. Academy of Science, 1697/84) (in Bulgarian). Reprinted: Int. J. Bioautomation, 2016, 20(S1), S1–S6 (in English). Atanassov, K. T. (1986). Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87–96. Atanassov, K. T. (1999). Intuitionistic Fuzzy Sets: Theory and Applications, Physica-Verlag, Heidelberg. Atanassov, K. T. (2012). On Intuitionistic Fuzzy Sets Theory, Springer, Berlin, Heidelberg. Atanassov, K. T., Szmidt, E. & Kacprzyk, J. (2008). On intuitionistic fuzzy multi-dimensional sets, Issues in Intuitionistic Sets and Generalized Nets, 7, 1–6. Atanassov, K. T., Szmidt, E., Kacprzyk, J.,& Rangasamy, P. (2008). On intuitionistic fuzzy multi-dimensional sets. Part 2. Advances in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics., Vol. I: Foundations, Academic Publishing House EXIT, Warsaw, 43–51. Atanassov, K. T., Szmidt, E.,& Kacprzyk, J. (2010). On intuitionistic fuzzy multidimensional sets. Part 3. Developments in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics. Vol. I: Foundations, SRI Polish Academy of Sciences, Warsaw, 19–26. Atanassov, K. T., Szmidt, E., & Kacprzyk, J. (2011). On intuitionistic fuzzy multi-dimensional sets. Part 4. Notes on Intuitionistic Fuzzy Sets, 17 (2), 1–7. Atanassova, V., & Sotirov, S. (2012). A new formula for de-i-fuzzification of intuitionistic fuzzy sets, Notes on Intuitionistic Fuzzy Sets, 18 (3), 49–51. Ban, A., Kacprzyk, J., & Atanassov, K. T. (2008). On de-I-fuzzification of intuitionistic fuzzy sets, Comptes Rendus de l’Academie bulgare des Sciences, 61 (12), 1535–1540. Parvathi, R., & Radhamani, C. (2016). Multi-parameter temporal intuitionistic fuzzy sets, Notes on Intuitionistic Fuzzy Sets, 22 (1), 35–47. Radhika, C., & Parvathi, R. (2016). Intuitionistic fuzzification functions, Global Journal of Pure and Applied Mathematics, 12 (2), 1211–1227. Ross, T. J. (2011). Fuzzy Logic with Engineering Applications,Wiley India Private Limited. Zadeh, L. A. (1965). Fuzzy sets, Information and Control, 8, 338–353. Citations: Issue:Three de-intuitionistic fuzzification procedures over circular intuitionistic fuzzy sets ‎ (← links) The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.