The R₀ and R₁ Properties in Fuzzy Soft Topological Spaces

Yıl 2018, Sayı: 24, 50 - 58, 14.08.2018

Salem Al-wosabi (s. Saleh) Amani Salemi

Öz

The purpose of this paper is to introduce and study some new properties so-called
fuzzy soft Ri (for short, FSRi
, i = 0, 1) on fuzzy soft spaces by using quasi-coincident relation for
fuzzy soft points, we get some characterizations and properties of them. Also, the relationships of
these properties in fuzzy soft topologies which are constructed from crisp topology and soft topology
over X and vice versa are studied with some illustrative examples.

Anahtar Kelimeler

Fuzzy soft set, Fuzzy soft point, Fuzzy soft quasi-coincident, Fuzzy soft topology

Kaynakça

• [1] S. Atmaca and I. Zorlutuna, On fuzzy soft topological spaces, Ann. Fuzzy Math. Inform. 5(2) (2013) 377-386.
• [2] C. L. Chang, Fuzzy topological spaces, J. of Math. analysis and Appl. 24(1986) 182-190.
• [3] ˙I. Demir and O. Ozbakır, ¨ Some properties of fuzzy proximity spaces, The Scientific World Journal, (2015), ID 752634, 10 PP.
• [4] A. Kandil, O. A. Tantawy, S. A. El-Sheikh and A. M. Abd El-latif, Some fuzzy toplogical properties based on fuzzy semi-open soft sets, South Asian J. of Math. 4(2014) 154-169.
• [5] A. Kharal and B. Ahmad, Mappings on fuzzy soft classes, Adv. Fuzzy Syst. 2009, Artical ID 407890, 6 pp.
• [6] P. K. Maji, R. Biswas and A. R. Roy, Soft set theory, Comp. Math. Appl. 45 (2003) 555-562.
• [7] P. K. Maji, R. Biswas and A. R. Roy, Fuzzy soft sets, J. Fuzzy Math. 9(3) (2001) 589-602.
• [8] D. Molodtsov, Soft set theory-first results, Comp. Math. Appl. 37 (1999) 19-31.
• [9] S. Roy and T. K. Samanta, A note on fuzzy soft topological spaces, Ann. Fuzzy Math. Inform. 3(2) (2011) 305-311.
• [10] S. Saleh and Amani Al-Salemi, Some new results on fuzzy soft spaces, Accepted (2018).
• [11] M. Shabir and M. Naz, On soft topological spaces, Comp. Math. Appl. 61 (2011) 1786-1799.
• [12] B. Tanay and M. B. Kandemir, Topological structures of fuzzy soft sets, Comput. Math. Appl. 61 (2011) 412-418.
• [13] L. A. Zadeh, Fuzzy Sets, Information and Control 8 (1965) 338-353.