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

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

EN

The R0 and R1 Properties in Fuzzy Soft Topological Spaces

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).

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Salem Al-wosabi (s. Saleh) This is me

Amani Salemi This is me

Publication Date

August 14, 2018

Submission Date

May 3, 2018

Acceptance Date

-

Published in Issue

Year 2018 Number: 24

IZ

https://izlik.org/JA63YY95WT

APA

Al-wosabi (s. Saleh), S., & Salemi, A. (2018). The R0 and R1 Properties in Fuzzy Soft Topological Spaces. Journal of New Theory, 24, 50-58. https://izlik.org/JA63YY95WT

AMA

1.Al-wosabi (s. Saleh) S, Salemi A. The R0 and R1 Properties in Fuzzy Soft Topological Spaces. JNT. 2018;(24):50-58. https://izlik.org/JA63YY95WT

Chicago

Al-wosabi (s. Saleh), Salem, and Amani Salemi. 2018. “The R0 and R1 Properties in Fuzzy Soft Topological Spaces”. Journal of New Theory, nos. 24: 50-58. https://izlik.org/JA63YY95WT.

EndNote

Al-wosabi (s. Saleh) S, Salemi A (August 1, 2018) The R0 and R1 Properties in Fuzzy Soft Topological Spaces. Journal of New Theory 24 50–58.

IEEE

[1]S. Al-wosabi (s. Saleh) and A. Salemi, “The R0 and R1 Properties in Fuzzy Soft Topological Spaces”, JNT, no. 24, pp. 50–58, Aug. 2018, [Online]. Available: https://izlik.org/JA63YY95WT

ISNAD

Al-wosabi (s. Saleh), Salem - Salemi, Amani. “The R0 and R1 Properties in Fuzzy Soft Topological Spaces”. Journal of New Theory. 24 (August 1, 2018): 50-58. https://izlik.org/JA63YY95WT.

JAMA

1.Al-wosabi (s. Saleh) S, Salemi A. The R0 and R1 Properties in Fuzzy Soft Topological Spaces. JNT. 2018;:50–58.

MLA

Al-wosabi (s. Saleh), Salem, and Amani Salemi. “The R0 and R1 Properties in Fuzzy Soft Topological Spaces”. Journal of New Theory, no. 24, Aug. 2018, pp. 50-58, https://izlik.org/JA63YY95WT.

Vancouver

1.Salem Al-wosabi (s. Saleh), Amani Salemi. The R0 and R1 Properties in Fuzzy Soft Topological Spaces. JNT [Internet]. 2018 Aug. 1;(24):50-8. Available from: https://izlik.org/JA63YY95WT