Issue:Some properties of Controlled Set Theory

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http://ifigenia.org/wiki/issue:nifs/20/2/37-42

Title of paper: Some properties of Controlled Set Theory Author(s): Gökhan Çuvalcıoğlu Department of Mathematics, Faculty of Arts and Sciences, University of Mersin, Mersin, Turkey gcuvalcioglu@mersin.edu.tr Presented at: 18th International Conference on Intuitionistic Fuzzy Sets, 10–11 May 2014, Sofia, Bulgaria Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 20, 2014, Number 2, pages 37—42 Download:  PDF (167  Kb, File info) 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 [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. Keywords: Controlled sets, Controlled algebraic structures, Intuitionistic Fuzzy Sets AMS Classification: 08A30, 08A50 References: 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. Citations: Issue:T-Lower level set and t-upper level set of an intuitionistic fuzzy set ‎ (← links) The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.