| Title of paper:
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H-Intuitionistic fuzzy sets
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| Author(s):
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| Sinem Tarsuslu
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| Mersin University, Faculty of Arts and Sciences, Department of Mathematics, Acad. G. Bonchev Str., Bl. 105, Sofia 1113, Bulgaria
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| sinemnyilmaz@gmail.com
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| Yelda Yorulmaz
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| Mersin University, Faculty of Arts and Sciences, Department of Mathematics, Acad. G. Bonchev Str., Bl. 105, Sofia 1113, Bulgaria
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| yeldayorulmaz@gmail.com
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| Presented at:
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21st International Conference on Intuitionistic Fuzzy Sets, 22–23 May 2017, Burgas, Bulgaria
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| Published in:
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"Notes on IFS", Volume 23, 2017, Number 2, pages 17—23
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| Download:
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 PDF (157 Kb Kb, Info)
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| Abstract:
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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.
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| Keywords:
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Intuitionistic fuzzy sets, Intuitionistic fuzzy Heyting algebra, Heyting valued intuitionistic fuzzy sets.
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| AMS Classification:
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03E72, 47S40.
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| References:
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- 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.
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