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Neutrosophic Crisp Tri-Topological Spaces

Yıl 2018, Sayı: 23, 13 - 21, 01.06.2018

Riad Khidr Hamido Taleb Gharibah

Öz

 In this paper we will introduce neutrosophic crisp Tri-topological spaces, and we will introduce
four new types of open and closed sets in neutrosophic crisp Tri-topological spaces. Then, the closure and
interior neutrosophic crisp set will be defined via this new concept of open and closed sets. Finally, we will
introduce the basic properties of these types of open and closed sets and the properties of new concept of
closure and the interior.  

Anahtar Kelimeler

Neutrosophic crisp Tri-topological spaces neutrosophic crisp Tri-open set neutrosophic crisp Tri-closed set neutrosophic crisp S-open sets and neutrosophic crisp S-closed

Kaynakça

  • [1] R. K. Al-Hamido, Neutrosophic Crisp Bi-Topological Space, Communicated.
  • [2] K. Atanassov, intuitionistic fuzzy sets. in V.Sgurev, ed., Vii ITKRS Session, Sofia (June 1983 central Sci. and Techn. Library, Bulg. Academy of Sciences (1984).
  • [3] K. Atanassov, intuitionistic fuzzy sets, fuzzy sets and systems 20, (1986) , 87-96.
  • [4] S. A. Alblowi, A. A. Salama and M. Eisa, New concepts of neutrosophic sets. International Journal of Mathematics and Computer Applications Research (IJMCAR) 4, (2014), 59-66.
  • [5] S. A. Alblowi, A. A. Salama, and Mohmed Eisa. New concepts of neutrosophic sets. International Journal of Mathematics and Computer Applications Research (IJMCAR) 3 , (2013), 95-102.
  • [6] I. Hanafy, A. A. Salama and K. Mahfouz, Correlation of neutrosophic data. International Refereed Journal of Engineering and Science (IRJES) 1, (2012), 39-43.
  • [7] I. M. Hanafy, A. A. Salama and K. M. Mahfouz, Neutrosophic crisp events and its probaTrility. International Journal of Mathematics and Computer Applications Research (IJMCAR) 3, (2013), 171-178.
  • [8] F. Smarandache, Neutrosophy and Neutrosophic Logic, First International Conference on Neutrosophy, Neutrosophic Logic, Set, ProbaTrility, and Statistics, University of New Mexico, NM 87301, USA(2002).
  • [9] F. Smarandache, A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic ProbaTrility. American Research Press, Rehoboth, NM, (1999).
  • [10] F. Smarandache, An introduction to the Neutrosophy probaTrility applid in Quntum Physics. International Conference on introducation Neutrosoph Physics, Neutrosophic Logic, Set, ProbaTrility, and Statistics, University of New Mexico, Gallup, NM 87301, USA2-4 December (2011).
  • [11] F. Smarandache, An introduction to the Neutrosophy probaTrility applid in Quntum Physics. International Conference on introducation Neutrosoph Physics, Neutrosophic Logic, Set, ProbaTrility, and Statistics, University of New Mexico, Gallup, NM 87301, USA2-4 December (2011).
  • [12] A. A. Salama and S. A. Alblowi, Neutrosophic set and neutrosophic topological space. ISORJ, Mathematics 3, (2012), 31-35.
  • [13] A. A. Salama and S. A. Alblowi, Generalized Neutrosophic Set and Generalized Neutrousophic Topological Spaces. Journal computer Sci. Engineering 2, (2012), 29- 32.
  • [14] A. A. Salama and S. A. Alblowi, Intuitionistic Fuzzy Ideals Topological Spaces. Advances in Fuzzy Mathematics 7, (2012), 51- 60.
  • [15] A. A. Salama, and H. Elagamy, Neutrosophic Filters. International Journal of Computer Science Engineering and Information Technology Reseearch (IJCSEITR) 3, (2013), 307-312.
  • [16] A. Salama, Neutrosophic Crisp Points and Neutrosophic Crisp Ideals. Neutrosophic Sets and Systems 1, (2013), 50-54.
  • [17] A. Salama and F. Smarandache, Filters via Neutrosophic Crisp Sets. Neutrosophic Sets and Systems 1, (2013), 34-38.
  • [18] A. A. Salama and S. A. Alblowi, Intuitionistic Fuzzy Ideals Topological Spaces. Advances in Fuzzy Mathematics 7, (2012), 51- 60.
  • [19] D. Sarker, Fuzzy ideal theory, Fuzzy local function and generated fuzzy topology. Fuzzy Sets and Systems 87, (1997), 117-123.
  • [20] A. Salama, F. Smarandache and V. Kroumov, Neutrosophic crisp Sets and Neutrosophic crisp Topological Spaces, Neutrosophic Sets and Systems 2, (2014), 25- 30.
  • [21] A. Salama, Basic Structure of Some Classes of Neutrosophic Crisp Nearly Open Sets and Possible Application to GIS Topology. Neutrosophic Sets and Systems 7, 2015, 18-22.
  • [22] F. G. Lupianez, On neutrosophic topology, Kybernetes 37 (2008), 797-800.
  • [23] F. G. Lupianez, Interval neutrosophic sets and topology, Kybernetes 38 (2009), 621- 624.
  • [23] F. G. Lupianez, On various neutrosophic topologies, Kybernetics 38 (2009), 1009- 1013.
  • [24] F. G. Lupianez, On neutrosophic sets topology, In F. Smarandache, & S. Pramanik (Eds.), New trends in neutrosophic theory and applications. Pons Editions, Brussel, 2016, 305-313.
  • [25] L. A. Zadeh, Fuzzy Sets, Inform and Control 8, (1965), 338-353.

Yıl 2018, Sayı: 23, 13 - 21, 01.06.2018

Riad Khidr Hamido Taleb Gharibah

Öz

Kaynakça

  • [1] R. K. Al-Hamido, Neutrosophic Crisp Bi-Topological Space, Communicated.
  • [2] K. Atanassov, intuitionistic fuzzy sets. in V.Sgurev, ed., Vii ITKRS Session, Sofia (June 1983 central Sci. and Techn. Library, Bulg. Academy of Sciences (1984).
  • [3] K. Atanassov, intuitionistic fuzzy sets, fuzzy sets and systems 20, (1986) , 87-96.
  • [4] S. A. Alblowi, A. A. Salama and M. Eisa, New concepts of neutrosophic sets. International Journal of Mathematics and Computer Applications Research (IJMCAR) 4, (2014), 59-66.
  • [5] S. A. Alblowi, A. A. Salama, and Mohmed Eisa. New concepts of neutrosophic sets. International Journal of Mathematics and Computer Applications Research (IJMCAR) 3 , (2013), 95-102.
  • [6] I. Hanafy, A. A. Salama and K. Mahfouz, Correlation of neutrosophic data. International Refereed Journal of Engineering and Science (IRJES) 1, (2012), 39-43.
  • [7] I. M. Hanafy, A. A. Salama and K. M. Mahfouz, Neutrosophic crisp events and its probaTrility. International Journal of Mathematics and Computer Applications Research (IJMCAR) 3, (2013), 171-178.
  • [8] F. Smarandache, Neutrosophy and Neutrosophic Logic, First International Conference on Neutrosophy, Neutrosophic Logic, Set, ProbaTrility, and Statistics, University of New Mexico, NM 87301, USA(2002).
  • [9] F. Smarandache, A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic ProbaTrility. American Research Press, Rehoboth, NM, (1999).
  • [10] F. Smarandache, An introduction to the Neutrosophy probaTrility applid in Quntum Physics. International Conference on introducation Neutrosoph Physics, Neutrosophic Logic, Set, ProbaTrility, and Statistics, University of New Mexico, Gallup, NM 87301, USA2-4 December (2011).
  • [11] F. Smarandache, An introduction to the Neutrosophy probaTrility applid in Quntum Physics. International Conference on introducation Neutrosoph Physics, Neutrosophic Logic, Set, ProbaTrility, and Statistics, University of New Mexico, Gallup, NM 87301, USA2-4 December (2011).
  • [12] A. A. Salama and S. A. Alblowi, Neutrosophic set and neutrosophic topological space. ISORJ, Mathematics 3, (2012), 31-35.
  • [13] A. A. Salama and S. A. Alblowi, Generalized Neutrosophic Set and Generalized Neutrousophic Topological Spaces. Journal computer Sci. Engineering 2, (2012), 29- 32.
  • [14] A. A. Salama and S. A. Alblowi, Intuitionistic Fuzzy Ideals Topological Spaces. Advances in Fuzzy Mathematics 7, (2012), 51- 60.
  • [15] A. A. Salama, and H. Elagamy, Neutrosophic Filters. International Journal of Computer Science Engineering and Information Technology Reseearch (IJCSEITR) 3, (2013), 307-312.
  • [16] A. Salama, Neutrosophic Crisp Points and Neutrosophic Crisp Ideals. Neutrosophic Sets and Systems 1, (2013), 50-54.
  • [17] A. Salama and F. Smarandache, Filters via Neutrosophic Crisp Sets. Neutrosophic Sets and Systems 1, (2013), 34-38.
  • [18] A. A. Salama and S. A. Alblowi, Intuitionistic Fuzzy Ideals Topological Spaces. Advances in Fuzzy Mathematics 7, (2012), 51- 60.
  • [19] D. Sarker, Fuzzy ideal theory, Fuzzy local function and generated fuzzy topology. Fuzzy Sets and Systems 87, (1997), 117-123.
  • [20] A. Salama, F. Smarandache and V. Kroumov, Neutrosophic crisp Sets and Neutrosophic crisp Topological Spaces, Neutrosophic Sets and Systems 2, (2014), 25- 30.
  • [21] A. Salama, Basic Structure of Some Classes of Neutrosophic Crisp Nearly Open Sets and Possible Application to GIS Topology. Neutrosophic Sets and Systems 7, 2015, 18-22.
  • [22] F. G. Lupianez, On neutrosophic topology, Kybernetes 37 (2008), 797-800.
  • [23] F. G. Lupianez, Interval neutrosophic sets and topology, Kybernetes 38 (2009), 621- 624.
  • [23] F. G. Lupianez, On various neutrosophic topologies, Kybernetics 38 (2009), 1009- 1013.
  • [24] F. G. Lupianez, On neutrosophic sets topology, In F. Smarandache, & S. Pramanik (Eds.), New trends in neutrosophic theory and applications. Pons Editions, Brussel, 2016, 305-313.
  • [25] L. A. Zadeh, Fuzzy Sets, Inform and Control 8, (1965), 338-353.
Toplam 26 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Riad Khidr Hamido

Taleb Gharibah

Yayımlanma Tarihi 1 Haziran 2018
Gönderilme Tarihi 6 Şubat 2018
Yayımlandığı Sayı Yıl 2018 Sayı: 23

Kaynak Göster

APA Hamido, R. K., & Gharibah, T. (2018). Neutrosophic Crisp Tri-Topological Spaces. Journal of New Theory(23), 13-21.
AMA Hamido RK, Gharibah T. Neutrosophic Crisp Tri-Topological Spaces. JNT. Haziran 2018;(23):13-21.
Chicago Hamido, Riad Khidr, ve Taleb Gharibah. “Neutrosophic Crisp Tri-Topological Spaces”. Journal of New Theory, sy. 23 (Haziran 2018): 13-21.
EndNote Hamido RK, Gharibah T (01 Haziran 2018) Neutrosophic Crisp Tri-Topological Spaces. Journal of New Theory 23 13–21.
IEEE R. K. Hamido ve T. Gharibah, “Neutrosophic Crisp Tri-Topological Spaces”, JNT, sy. 23, ss. 13–21, Haziran 2018.
ISNAD Hamido, Riad Khidr - Gharibah, Taleb. “Neutrosophic Crisp Tri-Topological Spaces”. Journal of New Theory 23 (Haziran 2018), 13-21.
JAMA Hamido RK, Gharibah T. Neutrosophic Crisp Tri-Topological Spaces. JNT. 2018;:13–21.
MLA Hamido, Riad Khidr ve Taleb Gharibah. “Neutrosophic Crisp Tri-Topological Spaces”. Journal of New Theory, sy. 23, 2018, ss. 13-21.
Vancouver Hamido RK, Gharibah T. Neutrosophic Crisp Tri-Topological Spaces. JNT. 2018(23):13-21.


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