Issue:The convergence of intuitionistic fuzzy sets

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http://ifigenia.org/wiki/issue:nifs/28/1/37-45

Title of paper: The convergence of intuitionistic fuzzy sets Author(s): Said Melliani LMACS, Sultan Moulay Slimane University, BP 523, 23000, Beni Mellal, Morocco s.melliani@usms.ma M'hamed Elomari LMACS, Sultan Moulay Slimane University, BP 523, 23000, Beni Mellal, Morocco m.elomari@usms.ma Lalla Saadia Chadli LMACS, Sultan Moulay Slimane University, BP 523, 23000, Beni Mellal, Morocco sa.chadli@yahoo.fr Published in: Notes on Intuitionistic Fuzzy Sets, Volume 28 (2022), Number 1, pages 37–45 DOI: https://doi.org/10.7546/nifs.2022.28.1.37-45 Download:  PDF (198  Kb, File info) Abstract: In the present paper, we first introduce a new intuitionistic fuzzy distance. Relationships between three kinds of convergences compared to this distance are studied in this paper. We will give necessary and sufficient conditions to have a convergence equivalence for these four metrics. Keywords: Intuitionistic fuzzy metric, Levelwise convergence, Supported endographs AMS Classification: 03F55 References: Atanassov, K. (1986). Intuitionistic fuzzy sets. Fuzzy sets and Systems, 20(1), 87–96. Brezis, H. (2010). Functional Analysis, Sobolev Spaces and Partial Differential Equations, Springer. Castaing, C., & Valadier, M. (1977). Convex Analysis and Measurable Multifunctions, Springer, Berlin. Dubois, D., & Prade, H. (1980). Fuzzy Sets and Systems, Academic Press, New York. Melliani, S., Elomari, M., Chadli, L. S., & Ettoussi, R. (2015). Extension of Hukuhara difference in intuitionistic fuzzy set theory. Notes on Intuitionistic Fuzzy Sets, 21(4), 34–47. Melliani, S., Elomari, M., Chadli, L.S., & Ettoussi, R. (2015). Intuitionistic fuzzy metric space. Notes on Intuitionistic Fuzzy Sets, 21(1), 43–53. Kaleva, O. (1985). On The Convergence of fuzzy sets. Fuzzy Sets and Systems, 17 (1), 53–65. Kloeden, P. E. (1980). Compact supported endographs and fuzzy sets. Fuzzy Sets and Systems, 4, 193–201. Puri, M. L., & Ralescu, D. A. (1983). Differentials of fuzzy functions. Journal of Mathematical Analysis and Applications, 91, 552–558. 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.