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Fuzzy Soft Ultrafilters and Convergence Properties of Fuzzy Soft Filters

Yıl 2015, Cilt: 4 Sayı: 8, 92 - 107, 29.05.2015

Öz

In the present paper, we study the notion of a fuzzysoft filter by using fuzzy soft sets. We present the concepts of a

Kaynakça

  • B. Ahmad, A. Kharal, On fuzzy soft sets, Advances in Fuzzy Systems, 2009, Article ID 586507, 6 pages, 2009.
  • H. Akta¸s, N. C¸ a˘gman, Soft sets and soft groups, Inform. Sci., 177, 2726-2735, 2007. [3] S. Atmaca, ˙I. Zorlutuna, On fuzzy soft topological spaces, Ann. Fuzzy Math. In- form., 5(2), 377-386, 2013.
  • A. Ayg¨uno˘glu, H. Ayg¨un, Introduction to fuzzy soft groups, Comput. Math. Appl., 58, 1279-1286, 2009.
  • M. H. Burton, M. Muraleetharan, J. Gutierrez Garcia, Generalised filters I, Fuzzy Sets and Systems, 106, 275-284, 1999.
  • H. Cartan, Filtres et ultrafiltres, C.R. Acad. Sci. Paris, 205, 777-779, 1937.
  • C.L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl., 24(1), 182-190, 1968. [8] V. C¸ etkin, H. Ayg¨un, On Convergence of Fuzzy Soft Filters, 3rd International Eurasian Conference on Mathematical Sciences and Applications, Vienna, Austria, August 25-28, 2014.
  • C¸ . G¨und¨uz, S. Bayramov, Some results on fuzzy soft topological spaces, Mathemat- ical Problems in Engineering, 2013, Article ID 835308, 10 pages, 2013.
  • A. Kharal, B. Ahmad, Mappings on fuzzy soft classes, Advances in Fuzzy Systems, 2009, Article ID 407890, 6 pages, 2009.
  • Y. C. Kim, A. Ramadan, M. A. Usama, (L,M)-neighborhood spaces, Kangweon- Kyungki Math. Jour., 15 (2), 121-133, 2007.
  • Z. Kong, L.Q. Gao, L.F. Wang, Comment on a fuzzy soft set theoretic approach to decision making problems, J. Comput. Appl. Math., 223, 540-542, 2009.
  • R. Lowen, Fuzzy topological spaces and fuzzy compactness, J. Math. Anal. Appl., 56, 621-633, 1976.
  • X. Ma, N. Sulaiman, H. Qin, T. Herawan, J.M. Zain,
  • A new efficient normal parameter reduction algorithm of soft sets, Comput. Math. Appl., 62, 588-598, 2011.
  • J. Mahanta, P. K. Das, Results on fuzzy soft topological spaces, arXiv:1203.0634v1, 2012.
  • P.K. Maji, R. Biswas, A.R. Roy, Fuzzy soft sets, J. Fuzzy Math., 9 (3), 589-602, 2001.
  • P.K. Maji, R. Biswas, A.R. Roy, Soft set theory, Comput. Math. Appl., 45, 555- 562, 2003.
  • D. Molodtsov, Soft set theory-first results, Comput. Math. Appl., 37, 19-31, 1999. [19] T. J. Neog, D. K. Sut, G. C. Hazarika, Fuzzy soft topological spaces, Int. J. Latest Trend Math., 2, 54-67, 2012.
  • M. A. de Prada Vicente, M. Saralegui Aranguren, Fuzzy filters, J. Math. Anal. Appl., 129, 560-568, 1988.
  • A.R. Roy, P.K. Maji, A fuzzy soft set theoretic approach to decision making prob- lems, J. Comput. Appl. Math., 203, 412-418, 2007.
  • M. Shabir, M. Naz, On soft topological spaces, Comput. Math. Appl., 61, 1786- 1799, 2011.
  • R. S¸ahin, A. K¨u¸c¨uk, Soft filters and their convergence properties, Ann. Fuzzy Math. Inform., 6(3), 529-543, 2013.
  • B. Tanay, M.B. Kandemir, Topological structures of fuzzy soft sets, Comput. Math. Appl., 61, 412-418, 2011.
  • B.P. Varol, H. Ayg¨un, Fuzzy soft topology, Hacet. J. Math. Stat., 41(3), 407-419, 2012.
  • B.P. Varol, H. Ayg¨un, Neighborhood structures of fuzzy soft topological spaces, J. Intell. Fuzzy Syst., DOI 10.3233/IFS-141177.
Yıl 2015, Cilt: 4 Sayı: 8, 92 - 107, 29.05.2015

Öz

Kaynakça

  • B. Ahmad, A. Kharal, On fuzzy soft sets, Advances in Fuzzy Systems, 2009, Article ID 586507, 6 pages, 2009.
  • H. Akta¸s, N. C¸ a˘gman, Soft sets and soft groups, Inform. Sci., 177, 2726-2735, 2007. [3] S. Atmaca, ˙I. Zorlutuna, On fuzzy soft topological spaces, Ann. Fuzzy Math. In- form., 5(2), 377-386, 2013.
  • A. Ayg¨uno˘glu, H. Ayg¨un, Introduction to fuzzy soft groups, Comput. Math. Appl., 58, 1279-1286, 2009.
  • M. H. Burton, M. Muraleetharan, J. Gutierrez Garcia, Generalised filters I, Fuzzy Sets and Systems, 106, 275-284, 1999.
  • H. Cartan, Filtres et ultrafiltres, C.R. Acad. Sci. Paris, 205, 777-779, 1937.
  • C.L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl., 24(1), 182-190, 1968. [8] V. C¸ etkin, H. Ayg¨un, On Convergence of Fuzzy Soft Filters, 3rd International Eurasian Conference on Mathematical Sciences and Applications, Vienna, Austria, August 25-28, 2014.
  • C¸ . G¨und¨uz, S. Bayramov, Some results on fuzzy soft topological spaces, Mathemat- ical Problems in Engineering, 2013, Article ID 835308, 10 pages, 2013.
  • A. Kharal, B. Ahmad, Mappings on fuzzy soft classes, Advances in Fuzzy Systems, 2009, Article ID 407890, 6 pages, 2009.
  • Y. C. Kim, A. Ramadan, M. A. Usama, (L,M)-neighborhood spaces, Kangweon- Kyungki Math. Jour., 15 (2), 121-133, 2007.
  • Z. Kong, L.Q. Gao, L.F. Wang, Comment on a fuzzy soft set theoretic approach to decision making problems, J. Comput. Appl. Math., 223, 540-542, 2009.
  • R. Lowen, Fuzzy topological spaces and fuzzy compactness, J. Math. Anal. Appl., 56, 621-633, 1976.
  • X. Ma, N. Sulaiman, H. Qin, T. Herawan, J.M. Zain,
  • A new efficient normal parameter reduction algorithm of soft sets, Comput. Math. Appl., 62, 588-598, 2011.
  • J. Mahanta, P. K. Das, Results on fuzzy soft topological spaces, arXiv:1203.0634v1, 2012.
  • P.K. Maji, R. Biswas, A.R. Roy, Fuzzy soft sets, J. Fuzzy Math., 9 (3), 589-602, 2001.
  • P.K. Maji, R. Biswas, A.R. Roy, Soft set theory, Comput. Math. Appl., 45, 555- 562, 2003.
  • D. Molodtsov, Soft set theory-first results, Comput. Math. Appl., 37, 19-31, 1999. [19] T. J. Neog, D. K. Sut, G. C. Hazarika, Fuzzy soft topological spaces, Int. J. Latest Trend Math., 2, 54-67, 2012.
  • M. A. de Prada Vicente, M. Saralegui Aranguren, Fuzzy filters, J. Math. Anal. Appl., 129, 560-568, 1988.
  • A.R. Roy, P.K. Maji, A fuzzy soft set theoretic approach to decision making prob- lems, J. Comput. Appl. Math., 203, 412-418, 2007.
  • M. Shabir, M. Naz, On soft topological spaces, Comput. Math. Appl., 61, 1786- 1799, 2011.
  • R. S¸ahin, A. K¨u¸c¨uk, Soft filters and their convergence properties, Ann. Fuzzy Math. Inform., 6(3), 529-543, 2013.
  • B. Tanay, M.B. Kandemir, Topological structures of fuzzy soft sets, Comput. Math. Appl., 61, 412-418, 2011.
  • B.P. Varol, H. Ayg¨un, Fuzzy soft topology, Hacet. J. Math. Stat., 41(3), 407-419, 2012.
  • B.P. Varol, H. Ayg¨un, Neighborhood structures of fuzzy soft topological spaces, J. Intell. Fuzzy Syst., DOI 10.3233/IFS-141177.
Toplam 24 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

Izzettin Demir Bu kişi benim

Oya Bedre Ozbakir Bu kişi benim

Ismet Yildiz Bu kişi benim

Yayımlanma Tarihi 29 Mayıs 2015
Yayımlandığı Sayı Yıl 2015 Cilt: 4 Sayı: 8

Kaynak Göster

APA Demir, I., Ozbakir, O. B., & Yildiz, I. (2015). Fuzzy Soft Ultrafilters and Convergence Properties of Fuzzy Soft Filters. Journal of New Results in Science, 4(8), 92-107.
AMA Demir I, Ozbakir OB, Yildiz I. Fuzzy Soft Ultrafilters and Convergence Properties of Fuzzy Soft Filters. JNRS. Ağustos 2015;4(8):92-107.
Chicago Demir, Izzettin, Oya Bedre Ozbakir, ve Ismet Yildiz. “Fuzzy Soft Ultrafilters and Convergence Properties of Fuzzy Soft Filters”. Journal of New Results in Science 4, sy. 8 (Ağustos 2015): 92-107.
EndNote Demir I, Ozbakir OB, Yildiz I (01 Ağustos 2015) Fuzzy Soft Ultrafilters and Convergence Properties of Fuzzy Soft Filters. Journal of New Results in Science 4 8 92–107.
IEEE I. Demir, O. B. Ozbakir, ve I. Yildiz, “Fuzzy Soft Ultrafilters and Convergence Properties of Fuzzy Soft Filters”, JNRS, c. 4, sy. 8, ss. 92–107, 2015.
ISNAD Demir, Izzettin vd. “Fuzzy Soft Ultrafilters and Convergence Properties of Fuzzy Soft Filters”. Journal of New Results in Science 4/8 (Ağustos 2015), 92-107.
JAMA Demir I, Ozbakir OB, Yildiz I. Fuzzy Soft Ultrafilters and Convergence Properties of Fuzzy Soft Filters. JNRS. 2015;4:92–107.
MLA Demir, Izzettin vd. “Fuzzy Soft Ultrafilters and Convergence Properties of Fuzzy Soft Filters”. Journal of New Results in Science, c. 4, sy. 8, 2015, ss. 92-107.
Vancouver Demir I, Ozbakir OB, Yildiz I. Fuzzy Soft Ultrafilters and Convergence Properties of Fuzzy Soft Filters. JNRS. 2015;4(8):92-107.


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