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Some Types of Regularity and Normality Axioms in Cech Fuzzy Soft Closure Spaces

Year 2018, Issue: 24, 73 - 87, 14.08.2018

Lina Hussein Maibed Rasha Naser Majeed

Abstract

In the present paper, some types of regularity and normality axioms in Cech fuzzy soft closure
spaces and their associative fuzzy soft topological spaces are defined and studied. Basic properties of these
axioms, hereditary and topological properties are discussed.

Keywords

Fuzzy soft set fuzzy soft point semi-regular regular semi-normal normal completely normal Cech fuzzy soft closure space

References

  • [1] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 64 (2) (1986) 87-96.
  • [2] S. Atmaca and . Zorlutuna, On fuzzy soft topological spaces, Annals of Fuzzy Mathematics and Informatics 5 (2) (2013) 377-386.
  • [3] E. ech, Topological Spaces, Inter Science Publishers, John Wiley and Sons, New York, 1966.
  • [4] R. Gowri and G. Jegadeesan, On soft ech closure spaces, International Journal of Mathematics Trends and Technology 9 (2) (2014) 122-127.
  • [5] R. Gowri and G. Jegadeesan, Some higher separation axioms in soft ech closure spaces, International Mathematical Forum 10 (11) (2015) 519-525.
  • [6] A. Kharal and B. Ahmad, Mappings on fuzzy soft classes, Advances in Fuzzy Systems Vol. 2009 (2009) 1-6.
  • [7] J. Krishnaveni and C. Sekar, ech soft closure spaces, International Journal of Mathematical Trends and Technology 6 (2014) 123-135.
  • [8] J. Mahanta and P.K. Das, Results on fuzzy soft topological spaces, arXiv:1203.0634v, 2012.
  • [9] R. N. Majeed, ech fuzzy soft closure spaces, International Journal of Fuzzy System Applications 7 (2) (2018) 62-74.
  • [10] R. N. Majeed and L.H. Maibed, Some structures of ech fuzzy soft closure spaces, Journal of Engineering and Applied Sciences (2018) Accepted.
  • [11] R. N. Majeed and L.H. Maibed, Lower separation axioms in ech fuzzy soft closure spaces, Submitted.
  • [12] P. K. Maji, R. Biswas and A. R. Roy, Fuzzy soft sets, Journal of Fuzzy Mathematics 9 (3) (2001) 589-602.
  • [13] A. S. Mashhour and M. H. Ghanim, Fuzzy closure spaces, Journal of Mathematical Analysis and Applications 106 (1985) 154-170.
  • [14] D. A. Molodtsov, Soft set theory first results, Computers and Mathematics with Applications 37 (1999) 19-31.
  • [15] Z. Pawlak, Rough sets, International Journal of Information and Computer Science 11 (1982) 341-356.
  • [16] S. Roy and T. K. Samanta, A note on fuzzy soft topological spaces, Annals of Fuzzy Mathematics and Informatics 3 (2) (2012) 305-311.
  • [17] B. Tanay and M. B. Kandemir, Topological structures of fuzzy soft sets, Computers and Mathematics with Applications 61 (2011) 412-418.
  • [18] B. P. Varol and H. Ayg n, Fuzzy soft Topology, Hacettepe Journal of Mathematics and Statistics 41 (2) (2012) 407-419.
  • [19] L. A. Zadeh, Fuzzy sets, Information and Control 8 (1965) 338-353.

Year 2018, Issue: 24, 73 - 87, 14.08.2018

Lina Hussein Maibed Rasha Naser Majeed

Abstract

References

  • [1] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 64 (2) (1986) 87-96.
  • [2] S. Atmaca and . Zorlutuna, On fuzzy soft topological spaces, Annals of Fuzzy Mathematics and Informatics 5 (2) (2013) 377-386.
  • [3] E. ech, Topological Spaces, Inter Science Publishers, John Wiley and Sons, New York, 1966.
  • [4] R. Gowri and G. Jegadeesan, On soft ech closure spaces, International Journal of Mathematics Trends and Technology 9 (2) (2014) 122-127.
  • [5] R. Gowri and G. Jegadeesan, Some higher separation axioms in soft ech closure spaces, International Mathematical Forum 10 (11) (2015) 519-525.
  • [6] A. Kharal and B. Ahmad, Mappings on fuzzy soft classes, Advances in Fuzzy Systems Vol. 2009 (2009) 1-6.
  • [7] J. Krishnaveni and C. Sekar, ech soft closure spaces, International Journal of Mathematical Trends and Technology 6 (2014) 123-135.
  • [8] J. Mahanta and P.K. Das, Results on fuzzy soft topological spaces, arXiv:1203.0634v, 2012.
  • [9] R. N. Majeed, ech fuzzy soft closure spaces, International Journal of Fuzzy System Applications 7 (2) (2018) 62-74.
  • [10] R. N. Majeed and L.H. Maibed, Some structures of ech fuzzy soft closure spaces, Journal of Engineering and Applied Sciences (2018) Accepted.
  • [11] R. N. Majeed and L.H. Maibed, Lower separation axioms in ech fuzzy soft closure spaces, Submitted.
  • [12] P. K. Maji, R. Biswas and A. R. Roy, Fuzzy soft sets, Journal of Fuzzy Mathematics 9 (3) (2001) 589-602.
  • [13] A. S. Mashhour and M. H. Ghanim, Fuzzy closure spaces, Journal of Mathematical Analysis and Applications 106 (1985) 154-170.
  • [14] D. A. Molodtsov, Soft set theory first results, Computers and Mathematics with Applications 37 (1999) 19-31.
  • [15] Z. Pawlak, Rough sets, International Journal of Information and Computer Science 11 (1982) 341-356.
  • [16] S. Roy and T. K. Samanta, A note on fuzzy soft topological spaces, Annals of Fuzzy Mathematics and Informatics 3 (2) (2012) 305-311.
  • [17] B. Tanay and M. B. Kandemir, Topological structures of fuzzy soft sets, Computers and Mathematics with Applications 61 (2011) 412-418.
  • [18] B. P. Varol and H. Ayg n, Fuzzy soft Topology, Hacettepe Journal of Mathematics and Statistics 41 (2) (2012) 407-419.
  • [19] L. A. Zadeh, Fuzzy sets, Information and Control 8 (1965) 338-353.
There are 19 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Lina Hussein Maibed This is me

Rasha Naser Majeed

Publication Date August 14, 2018
Submission Date June 21, 2018
Published in Issue Year 2018 Issue: 24

Cite

APA Maibed, L. H., & Majeed, R. N. (2018). Some Types of Regularity and Normality Axioms in Cech Fuzzy Soft Closure Spaces. Journal of New Theory(24), 73-87.
AMA Maibed LH, Majeed RN. Some Types of Regularity and Normality Axioms in Cech Fuzzy Soft Closure Spaces. JNT. August 2018;(24):73-87.
Chicago Maibed, Lina Hussein, and Rasha Naser Majeed. “Some Types of Regularity and Normality Axioms in Cech Fuzzy Soft Closure Spaces”. Journal of New Theory, no. 24 (August 2018): 73-87.
EndNote Maibed LH, Majeed RN (August 1, 2018) Some Types of Regularity and Normality Axioms in Cech Fuzzy Soft Closure Spaces. Journal of New Theory 24 73–87.
IEEE L. H. Maibed and R. N. Majeed, “Some Types of Regularity and Normality Axioms in Cech Fuzzy Soft Closure Spaces”, JNT, no. 24, pp. 73–87, August 2018.
ISNAD Maibed, Lina Hussein - Majeed, Rasha Naser. “Some Types of Regularity and Normality Axioms in Cech Fuzzy Soft Closure Spaces”. Journal of New Theory 24 (August 2018), 73-87.
JAMA Maibed LH, Majeed RN. Some Types of Regularity and Normality Axioms in Cech Fuzzy Soft Closure Spaces. JNT. 2018;:73–87.
MLA Maibed, Lina Hussein and Rasha Naser Majeed. “Some Types of Regularity and Normality Axioms in Cech Fuzzy Soft Closure Spaces”. Journal of New Theory, no. 24, 2018, pp. 73-87.
Vancouver Maibed LH, Majeed RN. Some Types of Regularity and Normality Axioms in Cech Fuzzy Soft Closure Spaces. JNT. 2018(24):73-87.


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