Fuzzy nano $ Z $-open sets in fuzzy nano topological spaces

محورهای موضوعی : Fuzzy, Fuzzy logic, Fuzzy system

R. Thangammal ¹ , M. Saraswathi ² , A Vadivel ³ , C. John Sundar ⁴

1 - Department of Mathematics, Selvam College of Technology, Namakkal-637 003, India
2 - Department of Mathematics, Kandaswamy Kandar's College, P-velur, Tamil Nadu-638 182, India
3 - PG and Research Department of Mathematics, Government Arts College (Autonomous), Karur-639 005, India|Department of Mathematics, Annamalai University, Annamalai Nagar-608 002, India
4 - Department of Mathematics, Annamalai University, Annamalai Nagar-608 002, India

تاریخ دریافت : 1400/11/08 تاریخ پذیرش : 1400/12/27 تاریخ انتشار : 1400/12/28

کلید واژه: $\mathcal{F}\mathfrak{Nano}os$‎, ‎$\mathcal{F}\mathfrak{Nano}\mathcal{P}os$‎, ‎$\mathcal{F}\mathfrak{Nano}\delta \mathcal{S}os$‎, ‎$\mathcal{F}\mathfrak{Nano}Zos$,

چکیده مقاله :

‎The purpose of this work is to define and investigate a new class of sets termed fuzzy nano $ Z $-open sets and fuzzy nano $ Z $-closed sets in fuzzy nano topological spaces‎, ‎as well as their basic properties‎. ‎We also talk about fuzzy nano $ Z $-closure and $ Z $-interior‎, ‎as well as their connections to fuzzy nano topological spaces‎.

منابع و مأخذ:

[1] X. Arul Selvaraj, U. Balakrishna, Z-open sets in nano topological spaces, AIP Conf Proc. 2364 (2021), 020037.

[2] C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl. 24 (1968), 182-190.

[3] A. I. EL-Magharabi, A. M. Mubarki, Z-open sets and Z-continuity in topological spaces, Inter. J. Math. Arch. 2 (10) (2011), 1819-1827.

[4] M. Lellis Thivagar, S. Jafari, V. Sutha Devi, V. Antonysamy, A novel approach to nano topology via neutrosophic sets, Neutrosophic Sets. Syst. 20 (2018), 86-94.

[5] M. Lellis Thivagar, C. Richard, On nano forms of weakly open sets, Inter. J. Math. Stat. Invent. 1 (1) (2013), 31-37.

[6] V. Pankajam, K. Kavitha, δ-open sets and δ-nano continuity in δ-nano topological spaces, Inter. J. Innovat. Sci. Res. Tech. 2 (12) (2017), 110-118.

[7] Z. Pawlak, Rough sets, Inter. J. Comput. Inform. Sci. 11 (1982), 341-356.

[8] S. Saha, Fuzzy δ-continuous mappings, J. Math. Anal. Appl. 126 (1987), 130-142.

[9] S. Sathaananthan, A. Vadivel, S. Tamilselvan, G. Saravanakumar, Generalized fuzzy Z closed sets in double fuzzy topological spaces, Adv. Math. Sci. J. 9 (4) (2020), 2107-2112.

[10] S. Sathaananthan, S. Tamilselvan, A. Vadivel, G. Saravanakumar, Fuzzy Z closed sets in double fuzzy topological spaces, AIP Conf Proc. 2277 (2020), 090001.

[11] A. Vadivel, M. Seenivasan, C. John Sundar, An introduction to δ-open sets in a neutrosophic topological spaces, J. Physics. Conference Ser. 1724 (2021), 012011.

[12] L. A. Zadeh, Fuzzy sets, Information and Control. 8 (1965), 338-353.