Some Types of Regularity and Normality Axioms in Cech Fuzzy Soft Closure Spaces
Yıl 2018,
Sayı: 24, 73 - 87, 14.08.2018
Lina Hussein Maibed
Rasha Naser Majeed
Öz
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.
Kaynakça
- [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.
Yıl 2018,
Sayı: 24, 73 - 87, 14.08.2018
Lina Hussein Maibed
Rasha Naser Majeed
Kaynakça
- [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.