Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article On λ-Statistically Convergent Double Sequences of Fuzzy Numbers | Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2008 Article ID 147827 6 pages doi 2008 147827 Research Article On l-Statistically Convergent Double Sequences of Fuzzy Numbers Ekrem Sava Department of Mathematics Istanbul Ticaret University Uskudar 36472 Istanbul Turkey Correspondence should be addressed to Ekrem Savas ekremsavas@ Received 17 July 2007 Accepted 13 December 2007 Recommended by Jewgeni H. Dshalalow We study the notion of -statistically convergent for double sequence of fuzzy numbers and also get some inclusion relations. Copyright 2008 Ekrem Savas. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. 1. Introduction Nanda 1 studied sequence of fuzzy numbers and showed that the set of all convergent sequences of fuzzy numbers form a complete metric space. Nuray 2 proved the inclusion relations between the set of statistically convergent and lacunary statistically convergent sequences of fuzzy numbers. Kwon and Shim 3 studied statistical convergence and lacunary statistical convergence of sequences of fuzzy numbers and they showed that Nuray s conditions are sufficient as well as necessary. Sava 4 introduced and discussed double convergent sequence of fuzzy numbers and showed that the set of all double convergent sequences of fuzzy numbers is complete. In 5 Savas generalized the statistical convergence by using de la Vallee-Poussin mean. Quite recently Savas and Mursaleen 6 introduced of statistically convergent and statistically Cauchy for double sequence of fuzzy numbers. In this paper we continue to study the concepts of strongly double V I -summable and double Sy-convergent for double sequence of fuzzy numbers. 2. Preliminaries Before continuing with the discussion we pause to establish some notation. Let C Rn A c Rn A compact and convex . The .
