$q^{*}$-RUNG ORTHOPAIR NEUTROSOPHIC SUBSPACES AND NODEC SPACES

Year 2026, Volume: 16 Issue: 2, 266 - 280, 03.02.2026

V. Shyamaladevi Revathi G K

https://izlik.org/JA67RE98BL

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

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