Bipolar topological pre-closed neutrosophic sets

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Abstract

We extend the topological spaces to bipolar neutrosophic study. The concept of topological spaces in neutrosophic
theory recently discussed by many authors on semi generalized conditions of open and closed sets. In
this present manuscript the topological space is defined on bipolar pre-closed neutrosophic sets (BPCNS).

Keywords:

Bipolar neutrosophic closure, Bipolar neutrosophic interior, Bipolar pre-closed neutrosophic sets (BPCNS)

Mathematics Subject Classification:

Mathematics
  • G. Upender Reddy Department of Mathematics, Nizam College (A), Osmania University, Basheerbagh, Hyderabad, TS, India. https://orcid.org/0009-0008-5075-0279
  • T. Siva Nageswara Rao Department of Mathematics, Vignan’s Foundation for Science Technology and Research(Deemed to be University), Vadlamudi, Guntur (Dt.), A.P, India.
  • N. Srinivasa Rao Department of Mathematics, Vignan’s Foundation for Science Technology and Research(Deemed to be University), Vadlamudi, Guntur (Dt.), A.P, India.
  • V. Venkateswara Rao Department of Mathematics, Vignan’s Foundation for Science Technology and Research(Deemed to be University), Vadlamudi, Guntur (Dt.), A.P, India.
  • Pages: 159-162
  • Date Published: 01-01-2021
  • Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)

A. A. Salama, S. A. Alblowi, Generalized Neutrosophic Set and Generalized Neutrosophic Topological Spaces, Comp. Sci. Engg., (2)(2012), 129-132.

A.A. Salama, S.A. AL-Blowi, Neutrosophic Set and Neutrosophic Topological Spaces, IOSR Journal of Math., (3)(2012), $31-35$.

C.L. Chang, Fuzzy Topological Spaces, J. Math. Anal Appl., 24(1968), 182-190.

Ch. Shashi Kumar,T. Siva Nageswara Rao,Y. Srinivasa Rao,V. Venkateswara Rao,Interior and Boundary vertices of BSV Neutrosophic Graphs, Jour. of Adv. Research in Dynamical & Control Systems, 12(6)(2020),1510-1515.

F. Smarandache, A Unifying Field in Logics:Neutrosophic Logic, Neutrosophy, Neutrosophic Set, 1990.

G. Upender Reddy, T. Siva Nageswara Rao, N. Srinivasa Rao, V. Venkateswara Rao, Bipolar soft neutrosophic topological region, Malaya Journal of Matematik, 8(4) $(2020), 1687-1690$.

G. Upender Reddy, T. Siva Nageswara Rao, V. Venkateswara Rao, Y. Srinivasa Rao, Minimal Spanning tree Algorithms w. r. t. Bipolar Neutrosophic Graphs, London Journal of Research in Science: Natural and Formal, $20(8)(2020), 13-24$

J. Dezert, Open Question to Neutrosophic Inferences Multiple-Valued Logic, Int. J.Neutros.Neutrosop, 8 (2002), 439-472.

K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1986), 87-96.

K. Atanassov, Review and new result on intuitionistic fuzzy sets, Sofia, (1988).

L.A. Zadeh, Fuzzy Sets, Inform. Control, 8 (1965), 338353.

Neutrosophic Probability, American Research Press, Rehoboth, NM (1999).

Reza Saadati, Jin HanPark, On the intuitionistic fuzzy topological space, Chaos, Solitons, & Fractals, 27 (2006), $331-344$.

S. Broumi, A. Bakali, M. Talea, F.Smarandache and V. Venkateswara Rao, Interval Complex Neutrosophic Graph of Type 1, Neutrosophic Operational Research, Volume III, V sub division, (2018), 88-107.

S. Broumi, A. Bakali, M. Talea, F.Smarandache and V. Venkateswara Rao, Bipolar Complex Neutrosophic Graphs of Type 1, New Trends in Neutrosophic Theory and Applications, 2(2018), 189-208.

S. Broumi, M. Talea, A. Bakali, F.Smarandache, Prem Kumar Singh, M. Murugappan, and V. Venkateswara Rao, Neutrosophic Technique Based Efficient Routing Protocol For MANET Based On Its Energy And Distance, Neutrosophic Sets and Systems, 24 (2019), 61-69.

S. Broumi, P. K. Singh, M. Talea, A. Bakali, F. Smarandache and V.Venkateswara Rao, Single-valued neutrosophic techniques for analysis of WIFI connection, Advances in Intelligent Systems and Computing, 915(2013),405-512, DOI: $10.1007 / 978-3-030-11928$ 736 .

Smarandache, F., Broumi, S., Singh, P. K., Liu, C., Venkateswara Rao, V., Yang, H.-L.Elhassouny, A.,Introduction to neutrosophy and neutrosophic environment, In Neutrosophic Set in Medical Image Analysis, (2019), 3-29.

T. Siva Nageswara Rao, Ch. Shashi Kumar,,Y. Srinivasa Rao, V. Venkateswara Rao, Detour Interior and Boundary vertices of BSV Neutrosophic Graphs, International Jour. nal of Advanced Science and Technology, 29(8)(2020), 2382-2394.

T. Siva Nageswara Rao, G. Upender Reddy, V. Venkates wara Rao, Y. Srinivasa Rao, Bipolar Neutrosophic Weakly $B G^*$ - Closed Sets, High Technology Letters, 26(8)(2020), 878-887, https://doi.org/10.37896/HTL26.08/1590.

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

Y. Srinivasa Rao, Ch. Shashi Kumar, T. Siva Nageswara Rao, V. Venkateswara Rao, Single Valued Neutrosophic detour distance, Journal of Critical Reviews, 7(8)(2020), $810-812$

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Published

01-01-2021

How to Cite

G. Upender Reddy, T. Siva Nageswara Rao, N. Srinivasa Rao, and V. Venkateswara Rao. “Bipolar Topological Pre-Closed Neutrosophic Sets”. Malaya Journal of Matematik, vol. 9, no. 01, Jan. 2021, pp. 159-62, https://www.malayajournal.org/index.php/mjm/article/view/994.

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Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)

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