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Notes on Fuzzy Parametrized Soft Sets

Year 2018, Volume: 39 Issue: 4, 818 - 827, 24.12.2018

İdris Zorlutuna , Serkan Atmaca

https://doi.org/10.17776/csj.481587
Cited By: 3

Abstract

In this paper, we introduced the notion of inverse Fp
soft set and studied some properties of it. Moreover, by using this new concept
we characterized the continuity of Fp soft mappings and continuity of fuzzy
soft mapping.

Keywords

Fuzzy soft set fuzzy parametrized soft set fuzzy soft contiunity 2000 03E72 54C05 54D30

References

  • [1]. Zadeh, L. A. Fuzzy sets, Inform. and Control 8 (1965) 338-353.
  • [2]. Chang, C. L. Fuzzy topological spaces, J. Math. Anal. Appl. 24 (1968) 182-190.
  • [3]. Molodtsov, D. Soft set theory-First results, Comput. Math. Appl. 37 (4/5) (1999) 19-31.
  • [4]. Çağman N., Karataş S. and Enginoğlu S., Soft topology, Comput. Math. Appl. 62 (2011) 351-358.
  • [5]. Zorlutuna I., Akdag M., Min W.K. and Atmaca S., Remarks on soft topological spaces, Annals of Fuzzy Mathematics and Informatics 3 (2) (2011) 171-185.
  • [6]. Shabir M. and Naz M., On soft topological spaces, Comput. Math. Appl. 61 (2011) 1786-1799.
  • [7]. Feng F., Jun Y. B. , Liu X. Y. and Li L. F. , An adjustable approach to fuzzy soft set based decision making, J. Comput. Appl. Math. 234 (2010) 10-20.
  • [8]. Çağman N. and Enginoğlu S., Soft set theory and uni-int decision making, European J. Oper. Res. 207 (2010) 848-855.
  • [9]. Maji, P. K., Biswas, R. and Roy, A. R. Fuzzy soft sets, Journal of Fuzzy Mathematics, 203 (2) (2001) 589-602.
  • [10]. Atmaca, S. Relationship Between Fuzzy Soft Topological Spaces and (X,\tau _{e}) Parameter Spaces, Cumhuriyet Science Journal, 38(4) (2017) 77-85.
  • [11]. Tanay, B. and Kandemir, M. B. Topological structures of fuzzy soft sets, Comput. Math. Appl. 61 (2011) 412-418.
  • [12]. Şimsekler, T. and Yüksel, S. Fuzzy soft topological spaces, Ann. Fuzzy Math. Inform. 5 (1) (2013) 87-96.
  • [13]. Aygünoğlu A. and Aygün H., Introduction to fuzzy soft groups, Comput. Math. Appl. 58 (2009) 1279-1286.
  • [14]. Feng F., Jun Y. B. and Zhao X. , Soft semirings, Comput. Math. Appl. 56 (2008) 2621-2628.
  • [15]. Çağman, N., Çıtak, F. and Enginoglu, S. FP-soft set theory and its applications, Ann. Fuzzy Math. Inform. 2 (2) (2011) 219-226.
  • [16]. Çağman, N. and Deli, İ. Products of FP-soft sets and their applications, Hacet. J. Math. Stat. 41 (3) (2012) 365-374.
  • [17]. Çağman, N. and Deli, İ. Means of FP-soft sets and their applications, Hacet. J. Math. Stat. 41 (5) (2012) 615-625.
  • [18]. 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 (1980) 571-599.
  • [19]. S. Roy, T.K. Samanta, A note on fuzzy soft topological spaces, Annals of Fuzzy Mathematics and Informatics, 3 (2) (2012) 305-311.
  • [20]. A. Kharal, B. Ahmad, Mappings on Fuzzy Soft Classes, Hindawi Publising Corporation Advances in Fuzzy Systems, Article ID 407890 (2009) 6 pages.
  • [21]. Atmaca, S. and Zorlutuna, İ. On fuzzy soft topological spaces, Ann. Fuzzy Math. Inform. 5 (2) (2013) 377-386.
  • [22]. Varol, B. P. and Aygün, H. Fuzzy soft topology, Hacet. J. Math. Stat. 41 (3) (2012) 407-419.
  • [23]. Atmaca, S. and Zorlutuna, İ. On Topological Structures of Fuzzy Parametrized Soft Sets Scientific World Journal.; doi: 10.1155/2014/164176 (2014).

Bulanık Parametreli Esnek Kümeler Üzerine Notlar

Year 2018, Volume: 39 Issue: 4, 818 - 827, 24.12.2018

İdris Zorlutuna , Serkan Atmaca

https://doi.org/10.17776/csj.481587
Cited By: 3

Abstract

Bu makalede devrik bulanık parametreli esnek küme
kavramına giriş yapılarak, bu kümelerin bazı özellikleri çalışılacaktır. Ek
olarak, bu yeni kavram yardımıyla Fp esnek dönüşümlerin ve bulanık esnek
dönüşümlerin süreklilikleri karakterize edilecektir.

Keywords

Bulanık esnek küme Bulanık parametreli esnek küme Bulanık esnek süreklilik 2000 03E72 54C05 54D30

References

  • [1]. Zadeh, L. A. Fuzzy sets, Inform. and Control 8 (1965) 338-353.
  • [2]. Chang, C. L. Fuzzy topological spaces, J. Math. Anal. Appl. 24 (1968) 182-190.
  • [3]. Molodtsov, D. Soft set theory-First results, Comput. Math. Appl. 37 (4/5) (1999) 19-31.
  • [4]. Çağman N., Karataş S. and Enginoğlu S., Soft topology, Comput. Math. Appl. 62 (2011) 351-358.
  • [5]. Zorlutuna I., Akdag M., Min W.K. and Atmaca S., Remarks on soft topological spaces, Annals of Fuzzy Mathematics and Informatics 3 (2) (2011) 171-185.
  • [6]. Shabir M. and Naz M., On soft topological spaces, Comput. Math. Appl. 61 (2011) 1786-1799.
  • [7]. Feng F., Jun Y. B. , Liu X. Y. and Li L. F. , An adjustable approach to fuzzy soft set based decision making, J. Comput. Appl. Math. 234 (2010) 10-20.
  • [8]. Çağman N. and Enginoğlu S., Soft set theory and uni-int decision making, European J. Oper. Res. 207 (2010) 848-855.
  • [9]. Maji, P. K., Biswas, R. and Roy, A. R. Fuzzy soft sets, Journal of Fuzzy Mathematics, 203 (2) (2001) 589-602.
  • [10]. Atmaca, S. Relationship Between Fuzzy Soft Topological Spaces and (X,\tau _{e}) Parameter Spaces, Cumhuriyet Science Journal, 38(4) (2017) 77-85.
  • [11]. Tanay, B. and Kandemir, M. B. Topological structures of fuzzy soft sets, Comput. Math. Appl. 61 (2011) 412-418.
  • [12]. Şimsekler, T. and Yüksel, S. Fuzzy soft topological spaces, Ann. Fuzzy Math. Inform. 5 (1) (2013) 87-96.
  • [13]. Aygünoğlu A. and Aygün H., Introduction to fuzzy soft groups, Comput. Math. Appl. 58 (2009) 1279-1286.
  • [14]. Feng F., Jun Y. B. and Zhao X. , Soft semirings, Comput. Math. Appl. 56 (2008) 2621-2628.
  • [15]. Çağman, N., Çıtak, F. and Enginoglu, S. FP-soft set theory and its applications, Ann. Fuzzy Math. Inform. 2 (2) (2011) 219-226.
  • [16]. Çağman, N. and Deli, İ. Products of FP-soft sets and their applications, Hacet. J. Math. Stat. 41 (3) (2012) 365-374.
  • [17]. Çağman, N. and Deli, İ. Means of FP-soft sets and their applications, Hacet. J. Math. Stat. 41 (5) (2012) 615-625.
  • [18]. 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 (1980) 571-599.
  • [19]. S. Roy, T.K. Samanta, A note on fuzzy soft topological spaces, Annals of Fuzzy Mathematics and Informatics, 3 (2) (2012) 305-311.
  • [20]. A. Kharal, B. Ahmad, Mappings on Fuzzy Soft Classes, Hindawi Publising Corporation Advances in Fuzzy Systems, Article ID 407890 (2009) 6 pages.
  • [21]. Atmaca, S. and Zorlutuna, İ. On fuzzy soft topological spaces, Ann. Fuzzy Math. Inform. 5 (2) (2013) 377-386.
  • [22]. Varol, B. P. and Aygün, H. Fuzzy soft topology, Hacet. J. Math. Stat. 41 (3) (2012) 407-419.
  • [23]. Atmaca, S. and Zorlutuna, İ. On Topological Structures of Fuzzy Parametrized Soft Sets Scientific World Journal.; doi: 10.1155/2014/164176 (2014).
There are 23 citations in total.

Details

Primary Language English
Journal Section Natural Sciences
Authors

İdris Zorlutuna

Serkan Atmaca

Publication Date December 24, 2018
Submission Date November 12, 2018
Acceptance Date December 14, 2018
Published in Issue Year 2018Volume: 39 Issue: 4

Cite

APA Zorlutuna, İ., & Atmaca, S. (2018). Notes on Fuzzy Parametrized Soft Sets. Cumhuriyet Science Journal, 39(4), 818-827. https://doi.org/10.17776/csj.481587

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