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Neutrosophic connected topological spaces

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We present the definition of neutrosophic connectedness and include some characterizations in this paper. We also introduce neutrosophic product space and demonstrate that this form of connectivity is not preserved neutrosophic product spaces. We also present and investigate the concepts of neutrosophic super-connected spaces and neutrosophic strongly connected spaces.
Rocznik
Tom
Strony
5--22
Opis fizyczny
Bibliogr. 38 poz.
Twórcy
  • Department of Mathematics, Balikesir University, 10145 Balikesir, Turkey
  • Department of Mathematics, Balikesir University, 10145 Balikesir, Turkey
Bibliografia
  • [1] Acikgoz A., Esenbel F., An approach to pre-separation axioms in neutrosophic soft topological spaces, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., 69(2) (2020), 1389-1404.
  • [2] Acikgoz A., Esenbel F., A study on connectedness in neutrosophic topological spaces, Fourth International Conference of Mathematical Sciences (ICMS 2020). Abstract Book page 9 Maltepe University Istanbul Turkey, https://www.maltepe.edu.tr/Content/Media/CkEditor/06072020082218946-icms-2020.pdf.
  • [3] Acikgoz A., Esenbel F., Neutrosophic soft δ-topology and neutrosophic soft δ-compactness, Filomat, 34(10) (2020), 3441-3458.
  • [4] Acikgoz A., Cakalli H., Esenbel F., Kočinac L.J.D.R., A quest of G-continuity in neutrosophic spaces, Math. Meth. Appl Sci., DOI: 10.1002/mma.7113.
  • [5] Acikgoz A., Esenbel F., Neutrosophic soft semi-regularization and neutrosophic soft sub-maximality, Filomat, 36(2) (2022), 651-668.
  • [6] Al-Shami T.M., Kočinac L.J.D.R., The equivalence between the enriched and extended soft topologies, Appl. Comput. Math., 18(2019) 149-162.
  • [7] Aras C.G., Sonmez A., Cakalli H., An approach to soft functions, J. Math. Anal., 8(2017), 129-138.
  • [8] Bera T., Mahapatra N.K., Introduction to neutrosophic soft topological spaces, Opsearch, 54(4) (2017), 841-867.
  • [9] Bera T., Mahapatra N.K., On neutrosophic soft topological space, Neutrosophic Sets Syst., 19(2018), 3-15.
  • [10] Bera T., Mahapatra N.K., Assignment problem with neutrosophic costs and its solution methodology, Asia Math., 3(1) (2019), 21-32.
  • [11] Bera T., Mahapatra N.K., Optimisation by dual simplex approach in neutrosophic environment, Int. J. Fuzzy Comput. Modelling, 2(4) (2019), 334-352.
  • [12] Bera T., Mahapatra N.K., Generalised single valued neutrosophic number and its application to neutrosophic linear programming, Neutrosophic Sets in Decision Analysis and Operations Research, IGI Global Pennsylvania 2019 Chapter 9.
  • [13] Bera T., Mahapatra N.K., Neutrosophic linear programming problem and its application to real life, Africa Mat. 2019, doi.org/10.1007/s13370-019-00754-4.
  • [14] Bera T., Mahapatra N.K., On solving neutrosophic linear programming problem by duality approach in neutrosophic environment, Int. J. Math. Operation Res., (2019) (accepted).
  • [15] Bera T., Mahapatra N.K., To solve assignment problem by centroid method in neutrosophic environment. Book chapter for ‘Quadruple Neutrosophic Theory and Applications-Volume I’, Neutrosophic Science International Association, Bruselss, Belgium Chapter, 7(2020) 84-93.
  • [16] Cakalli H., Das P., Fuzzy compactness via summability, Appl. Math. Lett., 22(2009), 1665-1669.
  • [17] Chakraborty A., Broumi S., Singh P.K., Some properties of pentagonal neutrosophic Numbers and its applications in transportation problem environment, Neutrosophic Sets Syst., 28(2019) 200-215.
  • [18] Chakraborty A., Mondal S., Broumi S., De-Neutrosophication technique of pentagonal neutrosophic number and application in minimal spanning tree, Neutrosophic Sets Syst., 29(2019), 1-18.
  • [19] Chaudhurt A.K., Das P., Fuzzy connected sets in fuzzy topological spaces, Fuzzy Sets Syst., 49(2) (1992), 223-229.
  • [20] Dhar M., Neutrosophic soft matrices and its application in medical diagnosis, J. Fuzzy Ext. Appl., 2(1) (2021), 23-32.
  • [21] Dhavaseelan R., Jafari S., Ozel C., Al Shumran M.A., Generalized neutrosophic contra-continuity, (submitted).
  • [22] Duran V., Topal S., Smarandache F., An application of neutrosophic logic in the confirmatory data analysis of the satisfaction with life scale, J. Fuzzy Ext. Appl., 2(3) (2021), 262-282.
  • [23] Edalatpanah S.A., A nonlinear approach for neutrosophic linear programming, J. Appl. Res. Ind. Eng., 6(4) (2019), 367-373.
  • [24] Edalatpanah S.A., Data envelopment analysis based on triangular neutrosophic numbers, CAAI Trans. Intell. Tech. 2020, DOI: 10.1049/trit.2020.0016.
  • [25] Edalatpanah S.A., Neutrosophic structured element, Exp. Syst. 2020, e125 42, doi.org/10.1111/exsy.12542.
  • [26] Kočinac L.J.D.R., Selection properties in fuzzy metric spaces, Filomat, 26(2012), 305-312.
  • [27] Kumar R., Edalatpanah S.A., Jha S., Singh R., A novel approach to solve gaussian valued neutrosophic shortest path problems, Int. J. Eng. Adv. Tech., 8(3) (2019), 347-353.
  • [28] Mohan M., Krashinaswany M., K-algebras on quadripartitioned single valued neutrosophic sets, J. Fuzzy Ext. Appl., 1(4) (2020), 325-339.
  • [29] Parimala M., Karthika M., Smarandache F., Broumi S., On αω-closed sets and its connectedness in terms of neutrosophic topological spaces, Int. J. Neu. Sci., 2(2) (2020), 82-88.
  • [30] Radha R., Stanis Arul Mary A., Quadripartitioned neutrosophic pythagorean lie subalgebra, J. Fuzzy Ext. Appl., 2(3) (2021), 283-296.
  • [31] Salma A.A., Alblowi S.A., Neutrosophic set and neutrosophic topological spaces, IOSR J. Math., 3(31) (2012).
  • [32] Saqlatin M., Jafar M.N., Moin S., Saeed M., Broumi S., Single and multi-valued neutrosophic hypersoft set and tangent similarity measure of single valued neutrosophic hypersoft sets, Neutrosophic Sets Syst., 32(2020), 317-329.
  • [33] Smarandache F., Neutrosophic set, a generalisation of the intuitionistic fuzzy sets, Int. J. Pure Appl. Math., (24) (2005), 287-297.
  • [34] Turani N., Coker D., Fuzzy connectedness in intuitionistic fuzzy topological spaces, Fuzzy Sets Syst., 116(3) (2000), 369-375.
  • [35] Veeramani C., Edalatoanah S.A., Sharanya S., Solving the multiobjective fractional transportation problem through the neutrosophic goal programming approach, Discrete Dyn. Nat. Soc. 2021, doi.org/10.1155/2021/7308042.
  • [36] Wang Q., Huang Y., Ma X., Liu Y., Das S.K., Edalatpanah S.A., A novel method for solving multiobjective linear programming problems with triangular neutrosophic numbers, J. Math. 2021, doi.org/10.1155/2021/6631762.
  • [37] Yang W., Cai L., Edalatpanah S.A., Smarandache F., Triangular single valued neutrosophic data envelopment analysis: application to hospital performance measurement, Symmetry, 12(4) (2020), 588.
  • [38] Zhao X.D., Connectedness on fuzzy topological spaces, Fuzzy Sets Syst., 20(1986), 223-240.
Uwagi
Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-6b7becee-af9b-4c62-a349-2275af40d691
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