16-17 May 2019 • Sofia, Bulgaria

Submission: 21 February 2019Notification: 11 March 2019Final Version: 1 April 2019

Issue:Some properties of Controlled Set Theory

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Title of paper: Some properties of Controlled Set Theory
Author(s):
Gökhan Çuvalcioğlu
Department of Mathematics, Faculty of Arts and Sciences, University of Mersin, Mersin, Turkey
gcuvalciogluAt sign.pngmersin.edu.tr
Presented at: 18th International Conference on Intuitionistic Fuzzy Sets, 10–11 May 2014, Sofia, Bulgaria
Published in: "Notes on IFS", Volume 20, 2014, Number 2, pages 37—42
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Abstract: 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 (\alpha, \alpha^{*})—Controlled sets which are special type of intuitionistic fuzzy sets and examined the relationship between Controlled Sets and some structures.
Keywords: Controlled sets, Controlled algebraic structures, Intuitionistic Fuzzy Sets
AMS Classification: 08A30, 08A50
References:
  1. Atanassov, K. T., Intuitionistic Fuzzy Sets, Springer Phiysica–Verlag, Heidelberg, 1999.
  2. Birkhoff, G., Lattice Theory, American Math. Soc., USA, 418 p., 1940.
  3. Cohn, P. M., Universal Algebra, D. Reidel Pub. Co., Holland, 412 p., 1981.
  4. Çuvalcioğlu, G., Controlled Set Theory, Bogolyubov Readings DIF-2013, Ukraine, 2013, p. 342.
  5. Zadeh, L. A., Fuzzy sets, Information and Control, Vol. 8, 1965, 338–353.
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