Issue:H-Intuitionistic fuzzy sets

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http://ifigenia.org/wiki/issue:nifs/23/2/17-23

Title of paper: H-Intuitionistic fuzzy sets Author(s): Sinem Tarsuslu Mersin University, Faculty of Arts and Sciences, Department of Mathematics, Acad. G. Bonchev Str., Bl. 105, Sofia 1113, Bulgaria sinemnyilmaz@gmail.com Yelda Yorulmaz Mersin University, Faculty of Arts and Sciences, Department of Mathematics, Acad. G. Bonchev Str., Bl. 105, Sofia 1113, Bulgaria yeldayorulmaz@gmail.com Presented at: 21st International Conference on Intuitionistic Fuzzy Sets, 22–23 May 2017, Burgas, Bulgaria Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 23, 2017, Number 2, pages 17—23 Download:  PDF (157 Kb  Kb, File info) Abstract: In this paper, we introduce Heyting valued intuitionistic fuzzy set (H-IFS) using intuitionistic fuzzy Heyting algebra. Some operations and modal operators are defined over H-IFSs. Keywords: Intuitionistic fuzzy sets, Intuitionistic fuzzy Heyting algebra, Heyting valued intuitionistic fuzzy sets. AMS Classification: 03E72, 47S40. References: Atanassov, K. T. (1983). Intuitionistic Fuzzy Sets, VII ITKR Session, Sofia, 20–23 June 1983 (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Reprinted: Int. J. Bioautomation, 2016, 20(S1), S1–S6. Atanassov, K. T. (1999). Intuitionistic Fuzzy Sets: Theory and Applications, Spinger, Heidelberg. Eslami, E. (2012). An algebraic structure for intuitionistic fuzzy logic, Iranian Journal of Fuzzy Systems, 9(6), 31–41. Ghanavizi Maroof, F. & Eslami, E. (2016). Algebraic properties of intuitionistic fuzzy residuated lattices, Iranian Journal of Fuzzy Systems, 13(2), 95–109. Heyting, A. (1930). Die formalen Regeln der intuitionistischen Logik, (in three parts) Sitzungsberichte der preussischen Akademie der Wissenschaften: 42–71, 158–169. English translation of Part I in Mancosu (1998): 311–327. Hajek, P. (1998). Metamathematics of fuzzy logic, Trends in Logic, Kluwer Acad. Publ., Drecht, 4. 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.