Araştırma Makalesi
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Relationship Between Fuzzy Soft Topological Spaces and (X,\tau _{e}) Parameter Spaces

Yıl 2017, , 77 - 85, 08.12.2017
https://doi.org/10.17776/csj.340541

Öz

In this paper, the relation between fuzzy soft topological
spaces and  parameter spaces is
introduced. After defining the parametrical property of fuzzy soft sets and we
give some examples.

Kaynakça

  • [1]. Atmaca S. and Zorlutuna . On fuzzy soft topological spaces, Ann. Fuzzy Math. Inform. 5 (2), 377-386, 2013
  • [2]. Aygünoglu A. and Aygün H. Introduction to fuzzy soft groups, Comput. Math. Appl. 58, 1279-1286, 2009.
  • [3]. Varol B. P. and Aygün H. Fuzzy soft topology, Hacet. J. Math. Stat. 41 (3), 407-419, 2012.
  • [4]. Çagman N., Çıtak F. and Enginoglu S. FP-soft set theory and its applications, Ann. Fuzzy Math. Inform. 2 (2), 219-226, 2011.
  • [5]. Çagman N. and Deli . Products of FP-soft sets and their applications, Hacet. J. Math. Stat. 41 (3), 365-374, 2012.
  • [6]. Çagman N. and Deli . Means of FP-soft sets and their applications, Hacet. J. Math. Stat. 41 (5), 615-625, 2012.
  • [7]. Chang C. L. Fuzzy topological spaces, J. Math. Anal. Appl. 24, 182-190, 1968.
  • [8]. Gunduz C. and Bayramov S. Some results on fuzzy soft topological spaces, Mathematical problems in engineering, ID 855308, (2013)
  • [9]. Gunduz C. and Bayramov S. Soft locally compact spaces and paramcompact spaces Journal of mathematics and system science, 3, 122-130, (2013)
  • [10]. Feng F., Jun Y.B., Liu X. and Li L.F. An adjustable approach to fuzzy soft set based decision making, J. Comput. Appl. Math. 234, 10-20, 2010.
  • [11]. Inan E. and Öztürk M. A. Fuzzy soft rings and fuzzy soft ideals, Neural Comput. and Applic DOI 10.1007/s00521-011-0550-5.
  • [12]. Raja Sethupathy K. S., Lakshmivarahanc S., Connectedness in Fuzzy Topology, Kybernetika volume 13 (1977), Number 3
  • [13]. Kharal B. Ahmad, Mappings on Fuzzy Soft Classes, Hindawi Publising Corporation Advances in Fuzzy Systems, Article ID 407890 (2009) 6 pages.
  • [14]. Kong Z., Gao L.Q. and Wang L.F. Comment on a fuzzy soft set theoretic approach to decision making problems, J. Comput. Appl. Math. 223, 540-542, 2009.
  • [15]. Mahanta J., and Das P. K., Results on fuzzy soft topological spaces, arXiv:1203.0634v1,2012.
  • [16]. Maji P. K., Biswas R. and Roy A. R. Fuzzy soft sets, Journal of Fuzzy Mathematics, 203 (2), 589-602, 2001.
  • [17]. Ming P. B. and Ming L. Y. Fuzzy topology I.Neighbourhood structure of a fuzzy point and Moore-Smith convergence, J. Math. Anal. Appl. 76, 571-599, 1980.
  • [18]. Molodtsov D. Soft set theory-First results, Comput. Math. Appl. 37 (4/5), 19-31, 1999.
  • [19]. Pradip K.G., Ramkrishna P. C. and Madhumangal P. Compact and Semicompact fuzzy soft topological spaces, J. Math. Comput. Sci. 4 (2014), No. 2, 425-445.
  • [20]. Roy A.R. and Maji P.K. A fuzzy soft set theoretic approach to decision making problems, J. Comput. Appl. Math. 203, 412-418, 2007.
  • [21]. Roy S., Samanta T. K., A note on fuzzy soft topological spaces, Annals of Fuzzy Mathematics and Informatics, 2011
  • [22]. Tanay B. and Kandemir M. B. Topological structures of fuzzy soft sets, Comput. Math. Appl. 61, 412-418, 2011.
  • [23]. Simsekler T., Yüksel S. Fuzzy soft topological spaces, Ann. Fuzzy Math. Inform. 5 (1), 87-96, 2013.
  • [24]. Zadeh L. A. Fuzzy sets, Inform. and Control 8, 338-353, 1965.

Bulanık Esnek Topolojik Uzaylar ve (X,\tau _{e}) Parametre Uzayları Arasındakı İlişkiler

Yıl 2017, , 77 - 85, 08.12.2017
https://doi.org/10.17776/csj.340541

Öz

Bu makalede bulanık esnek topolojik uzaylar ile  parametre uzayları
arasındaki
ilişkilere giriş yapıldı. Bulanık esnek kümelerde parametrik özellik tanımlandı ve örnekler verildi.

Kaynakça

  • [1]. Atmaca S. and Zorlutuna . On fuzzy soft topological spaces, Ann. Fuzzy Math. Inform. 5 (2), 377-386, 2013
  • [2]. Aygünoglu A. and Aygün H. Introduction to fuzzy soft groups, Comput. Math. Appl. 58, 1279-1286, 2009.
  • [3]. Varol B. P. and Aygün H. Fuzzy soft topology, Hacet. J. Math. Stat. 41 (3), 407-419, 2012.
  • [4]. Çagman N., Çıtak F. and Enginoglu S. FP-soft set theory and its applications, Ann. Fuzzy Math. Inform. 2 (2), 219-226, 2011.
  • [5]. Çagman N. and Deli . Products of FP-soft sets and their applications, Hacet. J. Math. Stat. 41 (3), 365-374, 2012.
  • [6]. Çagman N. and Deli . Means of FP-soft sets and their applications, Hacet. J. Math. Stat. 41 (5), 615-625, 2012.
  • [7]. Chang C. L. Fuzzy topological spaces, J. Math. Anal. Appl. 24, 182-190, 1968.
  • [8]. Gunduz C. and Bayramov S. Some results on fuzzy soft topological spaces, Mathematical problems in engineering, ID 855308, (2013)
  • [9]. Gunduz C. and Bayramov S. Soft locally compact spaces and paramcompact spaces Journal of mathematics and system science, 3, 122-130, (2013)
  • [10]. Feng F., Jun Y.B., Liu X. and Li L.F. An adjustable approach to fuzzy soft set based decision making, J. Comput. Appl. Math. 234, 10-20, 2010.
  • [11]. Inan E. and Öztürk M. A. Fuzzy soft rings and fuzzy soft ideals, Neural Comput. and Applic DOI 10.1007/s00521-011-0550-5.
  • [12]. Raja Sethupathy K. S., Lakshmivarahanc S., Connectedness in Fuzzy Topology, Kybernetika volume 13 (1977), Number 3
  • [13]. Kharal B. Ahmad, Mappings on Fuzzy Soft Classes, Hindawi Publising Corporation Advances in Fuzzy Systems, Article ID 407890 (2009) 6 pages.
  • [14]. Kong Z., Gao L.Q. and Wang L.F. Comment on a fuzzy soft set theoretic approach to decision making problems, J. Comput. Appl. Math. 223, 540-542, 2009.
  • [15]. Mahanta J., and Das P. K., Results on fuzzy soft topological spaces, arXiv:1203.0634v1,2012.
  • [16]. Maji P. K., Biswas R. and Roy A. R. Fuzzy soft sets, Journal of Fuzzy Mathematics, 203 (2), 589-602, 2001.
  • [17]. Ming P. B. and Ming L. Y. Fuzzy topology I.Neighbourhood structure of a fuzzy point and Moore-Smith convergence, J. Math. Anal. Appl. 76, 571-599, 1980.
  • [18]. Molodtsov D. Soft set theory-First results, Comput. Math. Appl. 37 (4/5), 19-31, 1999.
  • [19]. Pradip K.G., Ramkrishna P. C. and Madhumangal P. Compact and Semicompact fuzzy soft topological spaces, J. Math. Comput. Sci. 4 (2014), No. 2, 425-445.
  • [20]. Roy A.R. and Maji P.K. A fuzzy soft set theoretic approach to decision making problems, J. Comput. Appl. Math. 203, 412-418, 2007.
  • [21]. Roy S., Samanta T. K., A note on fuzzy soft topological spaces, Annals of Fuzzy Mathematics and Informatics, 2011
  • [22]. Tanay B. and Kandemir M. B. Topological structures of fuzzy soft sets, Comput. Math. Appl. 61, 412-418, 2011.
  • [23]. Simsekler T., Yüksel S. Fuzzy soft topological spaces, Ann. Fuzzy Math. Inform. 5 (1), 87-96, 2013.
  • [24]. Zadeh L. A. Fuzzy sets, Inform. and Control 8, 338-353, 1965.
Toplam 24 adet kaynakça vardır.

Ayrıntılar

Bölüm Natural Sciences
Yazarlar

Serkan Atmaca

Yayımlanma Tarihi 8 Aralık 2017
Gönderilme Tarihi 29 Eylül 2017
Kabul Tarihi 22 Kasım 2017
Yayımlandığı Sayı Yıl 2017

Kaynak Göster

APA Atmaca, S. (2017). Relationship Between Fuzzy Soft Topological Spaces and (X,\tau _{e}) Parameter Spaces. Cumhuriyet Science Journal, 38(4), 77-85. https://doi.org/10.17776/csj.340541

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