Neutrosophic complex αѱ connectedness in neutrosophic complex topological spaces

Authors

  • M. Karthika Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam-638401, Tamil Nadu, India
  • M. Parimala Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam-638401, Tamil Nadu, India
  • Saeid Jafari College of Vestsjaelland South, Herrestraede 11, 4200 Slagelse, Denmark
  • Florentin Smarandache Mathematics & Science Department, University of New Maxico, 705 Gurley Ave,Gallup, NM 87301, USA
  • Mohammed Alshumrani Department of Mathematics, King Abdulaziz University (KAU), P. O. Box 80203, Jeddah 21589, Saudi Arabia
  • Cenap Ozel Department of Mathematics, King Abdulaziz University (KAU), P. O. Box 80203, Jeddah 21589, Saudi Arabia
  • R. Udhayakumar School of Advanced Science, Department of Mathematics, Vellore Institute of Technology, Vellore, TN, India

Keywords:

neutrosophicsets, neutrosophic complex topology, neutrosophic complex αѱ-closed set

Abstract

Neutrosophic topological structure can be applied in many fields, viz. physics, chemistry, data science, etc.,but it is difficult to apply the object with periodicity. So, we present this concept to overcome this problem and noveltyof our work is to extend the range of membership, indeterminacy and non-membership from closed interval [0,1] tounit circle in the neutrosophic complex plane and modify the existing definition of neutrosophic complex topologyproposed by [17], because we can’t apply the existing definition to some set theoretic operations, such as union andintersection. Also, we introducethe new notion of neutrosophic complex ï¡ï¹-connectednessin neutrosophic complextopological spaces and investigatesome of its properties. Numerical example also provided to prove the nonexistence.

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Published

2019-10-20

Issue

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

How to Cite

Karthika, M. ., Parimala, M. ., Jafari, S. ., Smarandache, F. ., Alshumrani, M. ., Ozel, C. ., & Udhayakumar, R. . (2019). Neutrosophic complex αѱ connectedness in neutrosophic complex topological spaces. Neutrosophic Sets and Systems, 29, 158-164. https://fs.unm.edu/nss8/index.php/111/article/view/225

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