Neutrosophic complex Î±Ñ± connectedness in neutrosophic complex topological spaces

M.  Karthika; M.  Parimala; Saeid  Jafari; Florentin  Smarandache; Mohammed  Alshumrani; Cenap  Ozel; R.  Udhayakumar

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 Î±Ñ±-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 canâ€™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.