Neutrosophic \(P R E-\alpha, S E M I-\alpha\) and \(P R E-\beta\) irresolute open and closed mappings in neutrosophic topological spaces

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DOI:

https://doi.org/10.26637/MJM0804/0078

Abstract

Aim of this present paper is, the notions of Neutrosophic pre- \(\alpha\)-irresolute open \& closed mappings, Neutrosophic \(\alpha\)-irresolute open \& closed mappings, Neutrosophic semi- \(\alpha\) - irresolute open \& closed mappings and Neutrosophic pre- \(\beta\)-irresolute open \& closed mappings are introduced and Besides giving characterizations of these mappings and several interesting properties of these mappings are also discussed.

Keywords:

sets, Neutrosophic topological spaces, Neutrosophic \(\alpha\)-irresolute, Neutrosophic pre \(\alpha\)-irresolute , Neutrosophic \(\beta\)-irresolute, Neutrosophic \( \alpha \)-closed

Mathematics Subject Classification:

Mathematics
  • T. Rajesh Kannan PG & Research Department of Mathematics, Arignar Anna Government Arts College, Namakkal-637002, Tamil Nadu, India.
  • S. Chandrasekar PG & Research Department of Mathematics, Arignar Anna Government Arts College, Namakkal-637002, Tamil Nadu, India.
  • Pages: 1795-1806
  • Date Published: 01-10-2020
  • Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)

K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1986), 87-95.

I. Arokiarani, R. Dhavaseelan, S. Jafari, M. Parimala: On Some New Notions and Functions in NTSs, Neutrosophic Sets and Systems, 16(2017), 16-19.

A. Atkinswestley, S. Chandrasekar, Neutrosophic $g *-$ Closed Sets and its maps, Neutrosophic Sets and Systems, 36(2020), 96-107.

A. Atkinswestley S. Chandrasekar, Neutrosophic Weakly $G *$ closed sets, Advances in Mathematics: Scientific Aournal, 9(5), (2020), 2853-2861.

V. Banupriya, S.Chandrasekar, Neutrosophic $alpha g s$ Continuity and Neutrosophic $alpha g s$ Irresolute Maps, Neutrosophic Sets and Systems, 28(2019), 162-170.

V. Banu Priya, S. Chandrasekar, and M. Suresh, Neutrosophic Strongly $alpha$-Generalized Semi Closed Sets, Advances in Mathematics: Scientific Journal, 9(10), (2020), 8605-8613.

C.L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl, 24(1), (1968), 182-190.

D. Coker, An introduction to intuitionistic fuzzy Topological Spaces, Fuzzy Sets and Systems, 88(1997), 81-89.

FlorentinSmarandache, Neutrosophic and Neutrosophic Logic, First International Conference On Neutrosophic, Neutrosophic Logic, Set, Probability, and Statistics University of New Mexico, Gallup, NM 87301, USA, 2002.

FloretinSmarandache, Neutrosophic Set: A Generalization of Intuitionistic Fuzzy set, Journal of Defense Resources Management, 1(2010), 107-114.

P. Ishwarya, K. Bageerathi, On Neutrosophic semi open sets in NTSs, International Jour. Of Math. Trends and Tech, (2016), 214-223.

C. Maheswari, M. Sathyabama, S. Chandrasekar, Neutrosophic generalized b closed Sets In Neutrosophic Topological Spaces, Journal of Physics Conf. Series, (2018), 11-39.

C. Maheswari, S. Chandrasekar, Neutrosophic $g b$ closed Sets and Neutrosophic $g b$-Continuity, Neutrosophic Sets and Systems, 29(2019), 89-99.

C. Maheswari and S. Chandrasekar, Neutrosophicbgclosed Sets and its Continuity, Neutrosophic Sets and Systems, 36(2020), 108-120.

T. Rajesh kannan, S.Chandrasekar, Neutosophic $omega alpha$ closed sets in Neutrosophic topological space, Journal Of Computer And Mathematical Sciences, 9(10), (2018), 1400-1408.

T. Rajesh kannan, S.Chandrasekar, Neutosophic $alpha$ continuous multifunction in Neutrosophic topological space, The International Journal of Analytical and Experimental Modal Analysis, XI(IX), (2019), 13601367.

T. RajeshKannan, and S. Chandrasekar, Neutrosophic $alpha$-Irresolute Multifunction In Neutrosophic Topological Spaces, Neutrosophic Sets and Systems, 32(1), (2020), 390-400.

T. Rajesh kannan, S. Chandrasekar, Neutrosophic Pre- $alpha$, Semi- $alpha &$ Pre- $beta$ Irresolute Functions (Communicated).

A.A. Salama and S.A. Alblowi, Generalized Neutrosophic Set and Generalized Neutrosophic topological spaces, Journal Computer Sci. Engineering, 7(2012).

A.A. Salama and S.A. Alblowi, Neutrosophic set and Neutrosophic topological spaces, ISOR J.mathematics, 3(4), (2012), 31-35.

V.K. Shanthi, S. Chandrasekar, K. SafinaBegam, Neutrosophic Generalized Semi-closed Sets In NTSs, International Journal of Research in Advent Technology, 6(7), (2018), 1739-1743.

$[22]$ V. Venkateswara Rao, Y. Srinivasa Rao, Neutrosophic Preopen Sets and Pre-closed Sets in Neutrosophic Topology, International Journal of Chem Tech Research, 10(10), (2017), 449-458.

L. A. Zadeh, Fuzzy sets, Information and Control, 8(3), (1965), 338-353.

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Published

01-10-2020

How to Cite

T. Rajesh Kannan, and S. Chandrasekar. “Neutrosophic \(P R E-\alpha, S E M I-\alpha\) and \(P R E-\beta\) Irresolute Open and Closed Mappings in Neutrosophic Topological Spaces”. Malaya Journal of Matematik, vol. 8, no. 04, Oct. 2020, pp. 1795-06, doi:10.26637/MJM0804/0078.