Research Article
BibTex RIS Cite

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

Year 2017, , 77 - 85, 08.12.2017

Serkan Atmaca

https://doi.org/10.17776/csj.340541
Cited By: 7

Abstract

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.

Keywords

Fuzzy Soft Topology Parameter Spaces Fuzzy Soft Set 2000 03E72 54C05 54D30

References

  • [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

Year 2017, , 77 - 85, 08.12.2017

Serkan Atmaca

https://doi.org/10.17776/csj.340541
Cited By: 7

Abstract

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

Keywords

Bulanık esnek küme bulanık esnek topoloji parametre uzayları 2000 03E72 54C05 54D30

References

  • [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.
There are 24 citations in total.

Details

Journal Section Natural Sciences
Authors

Serkan Atmaca

Publication Date December 8, 2017
Submission Date September 29, 2017
Acceptance Date November 22, 2017
Published in Issue Year 2017

Cite

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

Cited By

Interval-valued intuitionistic fuzzy parameterized interval-valued intuitionistic fuzzy soft matrices and their application to performance-based value assignment to noise-removal filters
Computational and Applied Mathematics
https://doi.org/10.1007/s40314-022-01893-4
Interval-valued intuitionistic fuzzy parameterized interval-valued intuitionistic fuzzy soft sets and their application in decision-making
Journal of Ambient Intelligence and Humanized Computing
Tuğçe Aydın
https://doi.org/10.1007/s12652-020-02227-0
Intuitionistic fuzzy parameterized intuitionistic fuzzy soft matrices and their application in decision-making
Computational and Applied Mathematics
Serdar Enginoǧlu
https://doi.org/10.1007/s40314-020-01325-1
Notes on Fuzzy Parametrized Soft Sets
Cumhuriyet Science Journal
İdris ZORLUTUNA
https://doi.org/10.17776/csj.481587
A Generalization of Fuzzy Soft Max-Min Decision-Making Method and Its Application to a Performance-Based Value Assignment in Image Denoising
El-Cezeri Fen ve Mühendislik Dergisi
Serdar ENGİNOĞLU
https://doi.org/10.31202/ecjse.551487
Classification of The Monolithic Columns Produced in Troad and Mysia Region Ancient Granite Quarries in Northwestern Anatolia via Soft Decision-Making
Bilge International Journal of Science and Technology Research
Serdar ENGİNOĞLU
https://doi.org/10.30516/bilgesci.646126
A Data Classification Method in Machine Learning via Fuzzy Parameterized Fuzzy Soft Matrices
Bilge International Journal of Science and Technology Research
Samet Memiş
https://doi.org/10.30516/bilgesci.643821