| Title of paper:
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Some properties of Controlled Set Theory
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| Author(s):
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| Gökhan Çuvalcioğlu
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| Department of Mathematics, Faculty of Arts and Sciences, University of Mersin, Mersin, Turkey
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| gcuvalcioglu@mersin.edu.tr
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| Presented at:
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18th International Conference on Intuitionistic Fuzzy Sets, 10–11 May 2014, Sofia, Bulgaria
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| Published in:
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"Notes on IFS", Volume 20, 2014, Number 2, pages 37—42
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| Download:
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 PDF (167 Kb, File info)
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| Abstract:
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We have defined a new set theory which is called Controlled Set Theory. We have shown that these sets have fundamental properties of mathematics. In this paper, firstly, we defined [math]\displaystyle{ (\alpha, \alpha^{*}) }[/math]—Controlled sets which are special type of intuitionistic fuzzy sets and examined the relationship between Controlled Sets and some structures.
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| Keywords:
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Controlled sets, Controlled algebraic structures, Intuitionistic Fuzzy Sets
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| AMS Classification:
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08A30, 08A50
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| References:
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- Atanassov, K. T., Intuitionistic Fuzzy Sets, Springer Phiysica–Verlag, Heidelberg, 1999.
- Birkhoff, G., Lattice Theory, American Math. Soc., USA, 418 p., 1940.
- Cohn, P. M., Universal Algebra, D. Reidel Pub. Co., Holland, 412 p., 1981.
- Çuvalcioğlu, G., Controlled Set Theory, Bogolyubov Readings DIF-2013, Ukraine, 2013, p. 342.
- Zadeh, L. A., Fuzzy sets, Information and Control, Vol. 8, 1965, 338–353.
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| Citations:
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