Abstract
In neutrosophic topological space, the notion of neutrosophic e connectedness and disconnectedness is introduced in this chapter. In addition, we also introduced neutrosophic e separated sets, and finally, we analyze neutrosophic e compact spaces and related features in neutrosophic topological spaces.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Acikgoza, A., Esenbel, F.: A Study on Connectedness in Neutrosophic Topological Spaces. AIP Conference Proceedings. 2334, 020003 (2021).
Arar, M.: About Neutrosophic Countably Comapctness. Neutrosophic Sets and Systems. 36, 246–255 (2020).
Arokiarani, I., Dhavaseelan, R., Jafari, S., Parimala, M.: On some new notions and functions in neutrosophic topological spaces. Neutrosophic Sets and Systems, 16, 16–19 (2017).
Atanassov, K.: Intuitionistic fuzzy sets. Fuzzy Sets and Systems. 20, 87–96 (1986).
Chandrasekar, V., Sobana, D., Vadivel, A.: On Fuzzy e-open Sets, Fuzzy e-continuity and Fuzzy e-compactness in Intuitionistic Fuzzy Topological Spaces. Sahand Communications in Mathematical Analysis (SCMA). 12 (1), 131–153 (2018).
Chang, C.L.: Fuzzy topological spaces. J. Math. Anal. Appl. 24, 182–190 (1968).
Coker, D.: An introduction to intuitionistic fuzzy topological spaces. Fuzzy sets and systems. 88, 81–89 (1997).
Ekici, E.: On e-open sets, \( \mathcal {D}\mathcal {P}^{\star }\)-sets and \(\mathcal {D}\mathcal {P} \epsilon ^{\star }\)-sets and decomposition of continuity. The Arabian Journal for Science and Engineering. 33 (2A), 269–282 (2008).
Ekici, E.: Some generalizations of almost contra-super-continuity. Filomat. 21 (2), 31–44 (2007).
Ekici, E.: New forms of contra-continuity. Carpathian Journal of Mathematics. 24 (1), 37–45 (2008c).
Ekici, E.: On e∗-open sets and (D, S)∗-sets. Mathematica Moravica. 13 (1), 29–36 (2009).
Ekici, E.: On a-open sets, A∗-sets and decompositions of continuity and super-continuity. Annales Univ. Sci. Budapest. EÃűtvÃűs Sect. Math. 51, 39–51 (2008).
Ekici, E.: A note on a-open sets and e∗-open sets. Filomat. 22 (1), 89–96 (2008).
Parimala, M., Karthika, M., Jafari, S., Smarandache, F., El-Atik, A.A.: Neutrosophic αψ-connectedness. Journal of Intelligent & Fuzzy Systems. 38, 853–857 (2020).
Saha, S.: Fuzzy δ-continuous mappings. Journal of Mathematical Analysis and Applications. 126, 130–142 (1987).
Salama, A.A., Alblowi, S.A.: Neutrosophic set and neutrosophic topological spaces. IOSR Journal of Mathematics. 3 (4), 31–35 (2012).
Salama, A.A., Smarandache, F.: Neutrosophic crisp set theory. USA: Educational Publisher (2015).
Seenivasan, V., Kamala, K.: Fuzzy e-continuity and fuzzy e-open sets. Annals of Fuzzy Mathematics and Informatics. 8, 141–148 (2014).
Smarandache, F.: A Unifying field in logics: neutrosophic logic. neutrosophy, neutrosophic set, neutrosophic probability. Rehoboth: American Research Press (1999).
Smarandache, F.: Neutrosophy and neutrosophic logic. 1st Int. Conf. on Neutrosophy, Neutrosophic Logic, Set, Probability and Statistics. University of New Mexico, Gallup, NM, 87301 USA (2002).
Vadivel, A., Mohanarao Nauvluri, Thangaraja, P.: On Nnc DP*-sets and decomposition of continuity in Nnc-topological spaces. Adv. Math: Sci. J. 9 (11), 9559–9564 (2020).
Vadivel, A., Mohanarao Nauvluri, Thangaraja, P.: Characterization of completely Nnc (weakly Nnc)-irresolute functions via Nnce-open sets. J. Phys. Conf. Ser. 1724, 012009 (2021).
Vadivel, A., Mohanarao Nauvluri, Thangaraja, P.: Completely Nnce(weakly Nnce)-irresolute functions via Nnce-open sets. J. Phys. Conf. Ser. 1724, 012010 (2021).
Vadivel, A., Seenivasan, M., John Sundar, C.: An introduction to δ-open sets in a neutrosophic topological spaces. Journal of Physics: Conference Series. 1724, 012011 (2021).
Vadivel, A., John Sundar, C.: Neutrosophic δ-Open Maps and Neutrosophic δ-Closed Maps. International Journal of Neutrosophic Science (IJNS). 13 (2), 66–74 (2021).
Vadivel, A., John Sundar, C.: New Operators Using Neutrosophic δ-Open Set. Journal of Neutrosophic and Fuzzy Systems. 1 (2), 61–70 (2021).
Vadivel, A., Thangaraja, P., John Sundar, C.: Neutrosophic e-continuous maps and neutrosophic e-irresolute maps. Turkish Journal of Computer and Mathematics Education. 12 (1S), 369–375 (2021).
Vadivel, A., Thangaraja, P., John Sundar, C.: Neutrosophic e-Open Maps, Neutrosophic e-Closed Maps and Neutrosophic e-Homeomorphisms in Neutrosophic Topological Spaces. AIP Conference Proceedings. 2364, 020016 (2021).
Vadivel, A., Thangaraja, P.: e-open sets in Nnc-topological spaces. J. Phys. Conf. Ser. 1724, 012007 (2021).
Vadivel, A., Thangaraja, P.: e-continuous and somewhat e-continuity in Nnc-topological spaces. J. Phys. Conf. Ser. 1724, 012008 (2021).
Zadeh, L.A.: Fuzzy sets. Information and control. 8, 338–353 (1965).
Acknowledgements
The authors would like to thank the editors and the anonymous reviewers for their valuable comments and suggestions which have helped immensely in improving the quality of the paper.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Vadivel, A., Thangaraja, P., John Sundar, C. (2022). Some Spaces in Neutrosophic e-Open Sets. In: Singh, S., Sarigöl, M.A., Munjal, A. (eds) Algebra, Analysis, and Associated Topics. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-19082-7_14
Download citation
DOI: https://doi.org/10.1007/978-3-031-19082-7_14
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-031-19081-0
Online ISBN: 978-3-031-19082-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)