Perfectly RG Continuous Mappings and RG Irresolute Mappings in Bipolar Pythagorean Fuzzy Topological Spaces

Vishalakshi.K; Maragathavalli.S

doi:https://doi.org/10.14445/22315373/IJMTT-V68I4P505

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 68 | Issue 4 | Year 2022 | Article Id. IJMTT-V68I4P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V68I4P505

Perfectly RG Continuous Mappings and RG Irresolute Mappings in Bipolar Pythagorean Fuzzy Topological Spaces

Vishalakshi.K, Maragathavalli.S

Received	Revised	Accepted
07 Mar 2022	09 Apr 2023	11 Apr 2022

Abstract

The main focus of this paper is to introduce the concept of Perfectly Regular Generalized Continuous Mappings and Regular Generalized Irresolute Mappings in Bipolar Pythagorean Fuzzy Topological spaces and study some of their basic properties. We further study some of the basic properties of Perfectly Regular Continuous mappings and Regular Generalized Irresolute Mappings interrelation with other existing Bipolar Pythagorean Fuzzy mappings in Bipolar Pythagorean Fuzzy Topological Spaces.

Keywords

Bipolar Pythagorean Fuzzy sets, Bipolar Pythagorean Fuzzy Topology, Bipolar Pythagorean Fuzzy Regular Generalized Closed sets, Bipolar Pythagorean Fuzzy Perfectly Regular Generalized Continuous Mappings, Bipolar Pythagorean Fuzzy Regular Generalized Irresolute Mappings.

References

[1] L. A. Zadeh, Fuzzy Sets, Information and Control. 8(3) (1965) 338–353. https://doi.org/10.1016/S0019- 9958(65)90241-X.
[2] K.T. Atanassov, Intuitionistic Fuzzy Sets, Fuzzy Sets Systems. 20 (1986) 87-96.
[3] Coker.D, An Introduction to Intuitionistic Topological Spaces, Busefal. 81 (2000) 51-56.
[4] Yager R, Pythagorean Fuzzy Subsets in Proceedings of the Joint IFSA World Congress NAFIPS Annual Meeting. (2013) 57-61.
[5] J.Chen, S.Li, S.Ma and X.Wang, m-Polar Fuzzy Sets: An Extension of Bipolar Fuzzy Sets, The ScientificWorld Journal. (2014). http://dx.doi.org/10.1155/2014/416530.
[6] K.J. Lee, Bipolar Fuzzy Subalgebras and Bipolar Fuzzy Ideals of BCK/BCI- Algebras, Bull, Malays.
[7] Rajarajeswari P, and Krishna Moorthy R, Intuitionistic Fuzzy Weekly Generalized Continuous Mappings, Far East Journal of Mathematical Sciences. 66 (2012) 153-170.
[8] Santhi R, and Sakthivel K, Intuitionistic Fuzzy Generalized Semi Continuous Mappings, Advances in Theoretical and Applied Mathematics. 5 (2009) 73-82.
[9] Saranya M, and Jayanthi D, On Intuitionistic Fuzzy β Generalized Open Sets, International Journal of Engineering Sciences and Management Research. 3(5) (2016) 48-53.
[10] C.L. Chang, Fuzzy Topological Spaces, J.Math.Anal.Appl. 24 (1968) 182-190.
[11] Santhi R, and Jayanthi D, Intuitionistic Fuzzy Generalized Semi Pre-Continuous Mapping, Int. J. Contemp. Math. Science. 5(30) (2010) 1455 – 1469.
[12] Rajarajeswari P, and Krishna Moorthy R, Intuitionistic Fuzzy Weekly Generalized Continuous Mappings, Far East Journal of Mathematical Sciences. 66 (2012) 153-170.
[13] P. Bosc, O. Pivert, On a Fuzzy Bipolar Relational Algebra, Information-Sciences. 219 (2013) 1-16.
[14] Santhi R, and Sakthivel K, Intuitionistic Fuzzy Almost Alpha Generalized Continuous Mapping, Advances in Fuzzy Mathematics. 2 (2010) 209- 219.
[15] Tapi U. D, Thakur S. S. and Rathore G.P. S, Fuzzy SG-Irresolute Mappings, Stud.Cert.Stii.Ser. Mat. Niv. Bacau. 9 (1999) 203-210.
[16] Kim J. H, P. K. Lim, J. G. Lee, and K. Hur, Bipolar Fuzzy Intuitionistic Topological Spaces, Infinite Study. (2018)

Citation :

Vishalakshi.K, Maragathavalli.S, "Perfectly RG Continuous Mappings and RG Irresolute Mappings in Bipolar Pythagorean Fuzzy Topological Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 68, no. 4, pp. 23-29, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I4P505