q∗-RUNG ORTHOPAIR NEUTROSOPHIC SUBSPACES AND NODEC SPACES

q∗-RUNG ORTHOPAIR NEUTROSOPHIC SUBSPACES AND NODEC SPACES

V. Shyamaladevi, G. K. Revathi

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Abstract

The study explores the concept of q∗-rung orthopair neutrosophic topological spaces, beginning with foundational results on q∗-rung orthopair neutrosophic sets. It defines subspace topology within these spaces and analyzes various properties, particularly q∗-rung orthopair neutrosophic nodec spaces. These are examined under the condition that every q∗-rung orthopair neutrosophic nowhere dense subset is q∗-rung orthopair neutrosophic closed. Additionally, as specific examples of nodec spaces, the study investigates submaximal spaces and q∗-rung orthopair neutrosophic doors. Relevant characteristics and behaviors are methodically examined. Interestingly, it shows that a q∗-rung orthopair neutrosophic nodec space can be obtained by combining two discontinuous q∗-rung orthopair neutrosophic closed and q∗-rung orthopair neutrosophic dense (or open) spaces. Furthermore, the way these nodec spaces behave under different operations is examined.

Keywords

q∗-rung orthopair neutrosophic set, q∗-rung orthopair neutrosophic topological space, q∗-rung orthopair neutrosophic point, q∗-rung orthopair neutrosophic subspaces, q∗-rung orthopair neutrosophic nodec space and q∗-rung orthopair neutrosophic continuous.