International Journal of Mathematics and Mathematical Sciences
Volume 2014 (2014), Article ID 439169, 9 pages
http://dx.doi.org/10.1155/2014/439169
Research Article
On the Zweier Sequence Spaces of Fuzzy Numbers
Department of Mathematics, Faculty of Arts and Sciences, Nevşehir Hacı Bektaş Veli University, 2000 Evler Mah. Zübeyde Hanım Cad., 50300 Nevşehir, Turkey
Received 27 December 2013; Revised 27 February 2014; Accepted 1 March 2014; Published 3 April 2014
Academic Editor: Hari M. Srivastava
Copyright © 2014 Mehmet Şengönül. 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.
Linked References
- R. E. Moore, “Automatic error analysis in digital computation,” Tech. Rep. LSMD-48421, Lockheed Missiles and Space Company, 1959. View at Google Scholar
- P. Diamond and P. Kloeden, Metric Spaces of Fuzzy Sets, World Scientific, River Edge, NJ, USA, 1994. View at MathSciNet
- D. Filev and R. Yager, “A generalized defuzzification method under BAD distributions,” International Journal of Intelligent Systems, vol. 6, pp. 689–697, 1991. View at Google Scholar
- M. Sugeno, “An introductory survey of fuzzy control,” Information Sciences, vol. 36, no. 1-2, pp. 59–83, 1985. View at Publisher · View at Google Scholar · View at MathSciNet
- Z. Mitrovic and S. Rusov, “Z similarity measure among fuzzy sets,” FME Transactions, vol. 34, pp. 115–119, 2006. View at Google Scholar
- Z. Zararsız and M. Sengönül, Center of Gravity of Sequence Space of Fuzzy Numbers, AFMI, 2013.
- S. Nanda, “On sequence spaces of fuzzy numbers,” Fuzzy Sets and Systems, vol. 33, pp. 123–126, 1989. View at Publisher · View at Google Scholar
- H. Altınok, R. Çolak, and M. Et, “-difference sequence spaces of fuzzy numbers,” Fuzzy Sets and Systems, vol. 160, no. 21, pp. 3128–3139, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
- Ö. Talo and F. Başar, “Determination of the duals of classical sets of sequences of fuzzy numbers and related matrix transformations,” Computers & Mathematics with Applications, vol. 58, no. 4, pp. 717–733, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
- B. C. Tripathy and A. J. Dutta, “Statistically convergent and Cesàro summable double sequences of fuzzy real numbers,” Soochow Journal of Mathematics, vol. 33, no. 4, pp. 835–848, 2007. View at Google Scholar · View at MathSciNet
- T. Bilgin, “-statistical and strong -Cesaro convergence of sequences of fuzzy numbers,” Mathematical Communications, vol. 8, no. 1, pp. 95–100, 2003. View at Google Scholar · View at MathSciNet
- Y. Altın, M. Mursaleen, and H. Altınok, “Statistical summability for sequences of fuzzy real numbers and a Tauberian theorem,” Journal of Intelligent & Fuzzy Systems, vol. 21, no. 6, pp. 379–384, 2010. View at Google Scholar · View at MathSciNet
- R. Çolak, Y. Altın, and M. Mursaleen, “On some sets of difference sequences of fuzzy numbers,” Soft Computing, vol. 15, pp. 787–793, 2011. View at Google Scholar
- B. Altay, F. Başar, and M. Mursaleen, “On the Euler sequence spaces which include the spaces and . I,” Information Sciences, vol. 176, no. 10, pp. 1450–1462, 2006. View at Publisher · View at Google Scholar · View at MathSciNet
- F. Başar and B. Altay, “On the space of sequences of -bounded variation and related matrix mappings,” Ukrainian Mathematical Journal, vol. 55, no. 1, pp. 108–118, 2003. View at Publisher · View at Google Scholar · View at MathSciNet
- E. Malkowsky, “Recent results in the theory of matrix transformations in sequence spaces,” Matematichki Vesnik, vol. 49, no. 3-4, pp. 187–196, 1997. View at Google Scholar · View at MathSciNet
- P. N. Ng and P. Y. Lee, “Cesàro sequence spaces of non-absolute type,” Commentationes Mathematicae. Prace Matematyczne, vol. 20, no. 2, pp. 429–433, 1978. View at Google Scholar · View at MathSciNet
- C. S. Wang, “On Nörlund sequence spaces,” Tamkang Journal of Mathematics, vol. 9, no. 2, pp. 269–274, 1978. View at Google Scholar · View at MathSciNet
- B. Altay and F. Başar, “Some paranormed Riesz sequence spaces of non-absolute type,” Southeast Asian Bulletin of Mathematics, vol. 30, no. 4, pp. 591–608, 2006. View at Google Scholar · View at MathSciNet
- A. Wilansky, Summability Through Functional Analysis, vol. 85 of North-Holland Mathematics Studies, North-Holland, Amsterdam, The Netherlands, 1984. View at MathSciNet
- B. C. Tripathy and A. Baruah, “Nörlund and Riesz mean of sequences of fuzzy real numbers,” Applied Mathematics Letters, vol. 23, no. 5, pp. 651–655, 2010. View at Publisher · View at Google Scholar · View at MathSciNet
- M. Şengönül and F. Başar, “Some new Cesàro sequence spaces of non-absolute type which include the spaces and ,” Soochow Journal of Mathematics, vol. 31, no. 1, pp. 107–119, 2005. View at Google Scholar · View at MathSciNet
- G. G. Lorentz, “Über Limitierungsverfahren, die von einem Stieltjes-Integral abhängen,” Acta Mathematica, vol. 79, pp. 255–272, 1947. View at Google Scholar · View at MathSciNet
- F. Başar, “Matrix transformations between certain sequence spaces of and ,” Soochow Journal of Mathematics, vol. 26, no. 2, pp. 191–204, 2000. View at Google Scholar · View at MathSciNet
- F. Başar and R. Çolak, “Almost-conservative matrix transformations,” Doğa, vol. 13, no. 3, pp. 91–100, 1989. View at Google Scholar · View at MathSciNet
- B. Kuttner, “On dual summability methods,” Mathematical Proceedings of the Cambridge Philosophical Society, vol. 71, pp. 67–73, 1972. View at Google Scholar · View at MathSciNet
- G. G. Lorentz and K. Zeller, “Summation of sequences and summation of series,” Proceedings of the Cambridge Philosophical Society, vol. 71, pp. 67–73, 1972. View at Publisher · View at Google Scholar