Neutrosophic complex αѱ connectedness in neutrosophic complex topological spaces

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.