Soft Intervals and Soft Ordered Topology

GÖZDE YAYLALI UMUL, (Muğla Sıtkı Koçman Üniversitesi, Fen Fakültesi, Matematik Bölümü)
Nazan Çakmak POLAT, (Muğla Sıtkı Koçman Üniversitesi, Fen Fakültesi, Matematik Bölümü)
Bekir TANAY (Muğla Sıtkı Koçman Üniversitesi, Fen Fakültesi, Matematik Bölümü)
Celal Bayar Üniversitesi Fen Bilimleri Dergisi
1 0
Yıl: 2017 Cilt: 13 Sayı: 1 Sayfa Aralığı: 81 - 89 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

Soft Intervals and Soft Ordered Topology

Öz:
In this paper, the concept of soft interval is given and an example for soft Scott topology is illustrated by using the soft intervals. A tabular form for all soft closed intervals is presented. Then soft order topology is introduced and some application of it are expressed. Also we show that, the Soft Scott Topology and Soft Order Topology do not have to be same even on the same soft set
Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
  • [1] Aktaş, H.; Çağman, N. Soft Sets and Soft Groups, Inform. Sciences. 2007; 177, 2726-2735.
  • [2] Babitha, K.V.; Sunil, J.J. Soft Set Relations and Functions, Comput. Math. Appl. 2010; 60, 1840-1849.
  • [3] Babitha, K.V.; Sunil, J.J. Transitive Closures and Ordering on Soft Sets, Comput. Math. Appl. 2011; 62, 2235-2239.
  • [4] Borah, M.J.; Neog, T.J.; Sut, D.K. Relations on Fuzzy Soft Sets, J. Math. Comput. Sci. 2012; 2(3), 515-534.
  • [5] Çağman, N.; Cıtak, F.; Enginoğlu, S. Fuzzy parametrized fuzzy soft set theory and its applications, Turk. J. Fuzzy Syst. 2010; 1(1), 21-35.
  • [6] Çağman, N.; Karataş, S.; Enginoglu, S. Soft topology, Comput. Math. Appl. 2011; 62, 351-258.
  • [7] Çağman, N.; Enginoğlu, S. Soft matrix theory and its decision making, Comput. Math. Appl. 2010; 59, 3308- 3314.
  • [8] Gierz, G.; Hofmann, K.H.; Keimel, K.; Lawson, J.D.; Mislove, M.; Scott, D.S. Continuous Lattices and Domains, Encyclopedia of Mathematics and its Applications 93.
  • [9] Guan, X.; Li, Y.; Feng, F. A new order relation on fuzzy soft sets and its applications, Soft Compt. 2013; 17, 63-70.
  • [10] Hrbacek, K.; Jech, T. Introduction to Set Theory, Marcel Dekker Inc., 1984.
  • [11] Husain, S.; Ahmad, B. Some properties of Soft Topological Spaces, Comput. Math. Appl. 2012; 62, 4058- 4067.
  • [12] Jun, Y.B.; Park, C.H. Applications of Soft Sets in Ideal Theory of BCK/BCI Algebras, Inform. Sciences, 2008; 178, 2466-2475.
  • [13] Jun, Y.B.; Park, C.H. Applications of Soft Sets in Hilbert Algebras, Iran J. Fuzzy Syst. 2009; 6(2), 75-88.
  • [14] Jun, Y.B.; Kim, H.S.; Neggers, J. Pseudo d-algebras, Inform. Sciences, 2009; 179, 1751-1759.
  • [15] Jun, Y.B.; Lee, K.J.; Khan, A. Soft Ordered Semigroups, Math. Log. Quart. 2010; 56(1), 42-50.
  • [16] Maji, P.K.; Biswas, R.; Roy, A.R., Fuzzy Soft sets, Journal Fuzzy Mathematics, 2001; 3, 589-602.
  • [17] Maji, P.K.; Biswas, R.; Roy, A.R. Soft set theory, Comput. Math. Appl. 2003; 45, 555-562.
  • [18] Min, K.W. A Note on Soft Topological Spaces, Comput. Math. Appl. 2011; 62, 3524-3528.
  • [19] Molodtsov, D. Soft Set Theory-First Results, Comput. Math. Appl. 1999; 37, 19-31.
  • [20] Nazmul, S.K.; Samanta, S.K. Neighbourhood properties of soft topological spaces, Ann. Fuzzy Math. Inform., 2013; 6, 1- 15.
  • [21] Onyeozili, I.A.; Gwary, T.M. A study the Fundamentals of Soft Set Theory, International of Sciences and Technology Research, 2014; 3(4) 132-143.
  • [22] Park, J.H.; Kim, O.H.; Kwun, Y.C. Some properties of equivalence soft set relations, Comput. Math. Appl. 2012; 63, 1079-1088.
  • [23] Roy, S.; Samanta, T.K. An Introduction of a Soft Topological Spaces Proceeding of UGC sponsored National seminar on Recent trends in Fuzzy set theory, Rough set theory and Soft set theory at Uluberia College on 23rd and 24th September, 2011 ISBN 978-81-922305-5- 9, 9-12, 2011.
  • [24] Sayed, A.F. Continuity of partially ordered soft sets via soft Scott topology and soft sobrification, Bulletin of Mathematical Sciences and Applications, 2014; 3(3), 98- 113.
  • [25] Seselja, B.; Tepavcecic A., A note on a natural equivalence relation on fuzzy power set, Fuzzy Sets and Systems, 2004; 148, 201-210.
  • [26] Sut, D.K. An Application of Fuzzy Soft Relation in Decision Making Problems, International Journal of Mathematics Trends and Technology 2012; 3(2).
  • [27] Shabir, M.; Naz, M. On Soft Topological Spaces, Comput. Math. Appl. 2011; 61, 1786-1799.
  • [28] Tanay, B.; Yaylalı, G. New structures On Partially Ordered Soft Sets and Soft Scott Topology, Ann. Fuzzy Math. Inform., 2014; 7, 89-97.
  • [29] Varol, B.P.; Aygün, H. On soft Hausdorff spaces, Ann. Fuzzy Math. Inform., 2013; 5, 15-24.
  • [30] Yang, H.; Guo, Z. Kernels and Closures of Soft Set Relations, and Soft Set Relation Mappings, Comput. Math. Appl. 2011; 61, 651-662.
  • [31] Zhang, X. On Interval Soft Sets with Applications, International Journal of Computational Intelligence Systems, 2014; 7(1), 186-196.
  • [32] Zorlutuna, İ.; Akdağ, M.; Min, W.K.; Atmaca, S. Remarks on Soft Topological Spaces, Ann. Fuzzy Math. Inform., 2012; 3, 171-185.
APA Yaylalı G, POLAT N, TANAY B (2017). Soft Intervals and Soft Ordered Topology. , 81 - 89.
Chicago Yaylalı Gözde,POLAT Nazan Çakmak,TANAY BEKİR Soft Intervals and Soft Ordered Topology. (2017): 81 - 89.
MLA Yaylalı Gözde,POLAT Nazan Çakmak,TANAY BEKİR Soft Intervals and Soft Ordered Topology. , 2017, ss.81 - 89.
AMA Yaylalı G,POLAT N,TANAY B Soft Intervals and Soft Ordered Topology. . 2017; 81 - 89.
Vancouver Yaylalı G,POLAT N,TANAY B Soft Intervals and Soft Ordered Topology. . 2017; 81 - 89.
IEEE Yaylalı G,POLAT N,TANAY B "Soft Intervals and Soft Ordered Topology." , ss.81 - 89, 2017.
ISNAD Yaylalı, Gözde vd. "Soft Intervals and Soft Ordered Topology". (2017), 81-89.
APA Yaylalı G, POLAT N, TANAY B (2017). Soft Intervals and Soft Ordered Topology. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, 13(1), 81 - 89.
Chicago Yaylalı Gözde,POLAT Nazan Çakmak,TANAY BEKİR Soft Intervals and Soft Ordered Topology. Celal Bayar Üniversitesi Fen Bilimleri Dergisi 13, no.1 (2017): 81 - 89.
MLA Yaylalı Gözde,POLAT Nazan Çakmak,TANAY BEKİR Soft Intervals and Soft Ordered Topology. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, vol.13, no.1, 2017, ss.81 - 89.
AMA Yaylalı G,POLAT N,TANAY B Soft Intervals and Soft Ordered Topology. Celal Bayar Üniversitesi Fen Bilimleri Dergisi. 2017; 13(1): 81 - 89.
Vancouver Yaylalı G,POLAT N,TANAY B Soft Intervals and Soft Ordered Topology. Celal Bayar Üniversitesi Fen Bilimleri Dergisi. 2017; 13(1): 81 - 89.
IEEE Yaylalı G,POLAT N,TANAY B "Soft Intervals and Soft Ordered Topology." Celal Bayar Üniversitesi Fen Bilimleri Dergisi, 13, ss.81 - 89, 2017.
ISNAD Yaylalı, Gözde vd. "Soft Intervals and Soft Ordered Topology". Celal Bayar Üniversitesi Fen Bilimleri Dergisi 13/1 (2017), 81-89.
Sayfa Oluşturulma Tarihi
27-04-2024 8:38

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