NEUTROSOPHIC GENERALIZED SEMI ALPHA STAR CLOSED SETS IN NEUTROSOPHIC TOPOLOGICAL SPACES

P.Anbarasi Rodrigo Assistant Professor, Department of Mathematics, St. Mary’s College (Autonomous), Thoothukudi, Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli, India. Email.id: anbu.n.u@gmail.com
S.Maheswari Research Scholar (Full Time), Department of Mathematics, Register Number : 20212212092003, St. Mary’s College (Autonomous), Thoothukudi, Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli, India, Email.id:mahma1295@gmail.com

Abstract

The aim of this paper is to introduce a new concept of Neutrosophic closed sets namely Neutrosophic generalized semi alpha star closed sets (Neutrosophic gsα^*- closed sets) in Neutrosophic topological spaces. Properties and characterizations of Neutrosophic generalized semi alpha star closed sets are derived and compared with already existing sets.

Keywords:

: N_eu gsα^*-closed sets , N_eu gsα^*-open sets , N_eu gsα^*-interior , N_eu gsα^*- closure.


Full Text:

PDF


References


[1] Ali Abbas , N.M., & Shuker Mahmood Khalil , On New Classes of Neutrosophic Continuous And Contra Mappings in Neutrosophic Topological Spaces , Int. J. Nonlinear Anal. Appl. 12(2021) , No.1 , pp.718-725 , ISSN: 2008-6822 . [2] Atanassov , K., Intuitionistic Fuzzy Sets , Fuzzy Sets And Systems , pp. 87-94 , 1986 . [3] Blessie Rebecca , & S., Francina Shalini , A., Neutrosophic Generalized Regular Contra Continuity in Neutrosophic Topological Spaces , International Journal of Research in Advent Technology , Vol.7, No.2 , E-ISSN:2321-9637 , pp.761-765 , Feb 2019 . [4] Dhavaseelan , R., & Jafari , S., Generalized Neutrosophic Closed Sets , New Trends In Neutrosophic Theory And Applications , Vol. II , pp-261-273 . [5] Evanzalin Ebenanjar , P., Jude Immaculate , H., & Bazil Wilfred , C., On Neutrosophic b-Open Sets in Neutrosophic Topological Space , International Conference On Applied And Computational Mathematics , IOP Publishing , Journal of Physics: Con.Series 1139(2018) . [6] Floretin Smarandache , Neutrosophic Set: A Generalization of Intuitionistic Fuzzy Set , Jorunal of Defense Resources Management , 2010,107-116 . [7] Jayanthi , D., α-Generalized Closed Sets in Neutrosophic Topological Spaces , International Journal of Mathematics Trends And Technology (IJMTT) , ISSN: 2231-5373 , pp.88-91 , March 2018. [8] Maheswari ,C., & Chandrasekar , S., Neutrosophic bg-Closed Sets And its Continuity , Neutrosophic Sets And Systems , Vol.36 , pp.108-120 , 2020 . [9] Maheswari ,C., Sathyabama ,M., & Chandrasekar ,S., Neutrosophic Generalized b-Closed Sets in Neutrosophic Topological Spaces , International Conference on Applied And Computional Mathematics , IOP Publishing , Journal of Physics , Conf.series :1139(2018) . [10] Narmatha ,S., Glory Bebina ,E., & Vishnu Priyaa ,R., On πgβ-Closed Sets And Mappings in Neutrosophic Topological Spaces , International Journal of Innovative Technology And Exploring Engineering(IJITEE) , ISSN:2278-3075 , pp.505-510 , Vol-8 , OCT 2019 . [11] Pushpalatha , A., & Nandhini , T., Generalized Closed Sets Via Neutrosophic Topological Spaces , Malaya Journal Of Mathematik , Vol.7 , No.1 , pp.50-54 , 2019 . [12] Qays Hatem Imran , Smarandache ,F., Raid K-Al-Hamido & Dhavaseelan ,R., On New Semi Alpha Open Sets , Neutrosophic Sets And Systems , pp.37-42 , 18/2017. [13] Sreeja , D., & Sarankumar , T., Generalized Alpha Closed Sets in Neutrosophic Topological Spaces , JASC , Journal of Applied Science & Computations , ISSN:1076-5131 , Vol.5 , Issue 11 , pp.1816-1823 , Nov-2018 . [14] Venkateswara Rao ,V., & Srinivasa Rao ,Y., Neutrosophic Pre – Open Sets And Pre –Closed Sets in Neutrosophic Topology , International Journal of ChemTech Research , ISSN:0974-4290 , Vol.10 , No.10 , pp.449-458 , 2017 . [15] Zadeh , L.A., Fuzzy Sets , Inform And Control , Vol.8 , pp.338-353 , 1965 .

Refbacks

  • There are currently no refbacks.