The R 0 and R 1 Properties in Fuzzy Soft Topological Spaces

Salem Al-wosabi (s. Saleh); Amani Salemi

Research Article

The R<sub>0</sub> and R<sub>1</sub> Properties in Fuzzy Soft Topological Spaces

Year 2018, Issue: 24, 50 - 58, 14.08.2018

Abstract

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.

Keywords

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

References

[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.

Year 2018, Issue: 24, 50 - 58, 14.08.2018

Salem Al-wosabi (s. Saleh) Amani Salemi

Abstract

References

[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.

There are 13 citations in total.

Details

Primary Language	English
Journal Section	Research Article
Authors	Salem Al-wosabi (s. Saleh) This is me Amani Salemi This is me
Submission Date	May 3, 2018
Publication Date	August 14, 2018
Published in Issue	Year 2018 Issue: 24

Cite

APA	Al-wosabi (s. Saleh), S., & Salemi, A. (2018). The R<sub>0</sub> and R<sub>1</sub> Properties in Fuzzy Soft Topological Spaces. Journal of New Theory(24), 50-58.
AMA	Al-wosabi (s. Saleh) S, Salemi A. The R<sub>0</sub> and R<sub>1</sub> Properties in Fuzzy Soft Topological Spaces. JNT. August 2018;(24):50-58.
Chicago	Al-wosabi (s. Saleh), Salem, and Amani Salemi. “The R<sub>0< Sub> and R<sub>1< Sub> Properties in Fuzzy Soft Topological Spaces”. Journal of New Theory, no. 24 (August 2018): 50-58.
EndNote	Al-wosabi (s. Saleh) S, Salemi A (August 1, 2018) The R<sub>0</sub> and R<sub>1</sub> Properties in Fuzzy Soft Topological Spaces. Journal of New Theory 24 50–58.
IEEE	S. Al-wosabi (s. Saleh) and A. Salemi, “The R<sub>0</sub> and R<sub>1</sub> Properties in Fuzzy Soft Topological Spaces”, JNT, no. 24, pp. 50–58, August2018.
ISNAD	Al-wosabi (s. Saleh), Salem - Salemi, Amani. “The R<sub>0< Sub> and R<sub>1< Sub> Properties in Fuzzy Soft Topological Spaces”. Journal of New Theory 24 (August2018), 50-58.
JAMA	Al-wosabi (s. Saleh) S, Salemi A. The R<sub>0</sub> and R<sub>1</sub> Properties in Fuzzy Soft Topological Spaces. JNT. 2018;:50–58.
MLA	Al-wosabi (s. Saleh), Salem and Amani Salemi. “The R<sub>0< Sub> and R<sub>1< Sub> Properties in Fuzzy Soft Topological Spaces”. Journal of New Theory, no. 24, 2018, pp. 50-58.
Vancouver	Al-wosabi (s. Saleh) S, Salemi A. The R<sub>0</sub> and R<sub>1</sub> Properties in Fuzzy Soft Topological Spaces. JNT. 2018(24):50-8.