| Title of paper:
|
H-Intuitionistic fuzzy sets
|
| Author(s):
|
| Sinem Tarsuslu (Yılmaz)
|
| 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 IFS", 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.
|
|
