Some new open sets in bipolar N-neutrosophic supra topological spaces

Article type: Research Article

Authors: Gowri, S.^a | Vennila, B.^{b; *} | Antony Crispin Sweety, C.^a

Affiliations: [a] Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore, India | [b] Department of Mathematics, Sri Eshwar College of Engineering, Coimbatore, India

Correspondence: [*] Corresponding author. B. Vennila, Email: [email protected].

Abstract: The primary focus of this work is to develop the concept of bipolar N-neutrosophic supra topological spaces. Also, extended some concepts such as closure and interior operators of N-neutrosophic supra topological spaces to Bipolar N-neutrosophic supra topological spaces. The properties and relationship between weak forms of bipolar N-neutrosophic supra topological open sets are also established. Further, suggested several separations amongst bipolar N-neutrosophic supra sets. Some distance between bipolar N-neutrosophic sets is introduced and an efficient approachfor group multi-criteria decision making based on bipolar N-neutrosophic sets is proposed.

Keywords: Bipolar N-neutrosophic supra topology, bipolar N-neutrosophic supra α-open set, bipolar N-neutrosophic supra semi-open, bipolar N-neutrosophic supra β-open and bipolar N-neutrosophic supra pre-open, N-valued interval neutrosophic sets

DOI: 10.3233/JIFS-224450

Journal: Journal of Intelligent & Fuzzy Systems, vol. Pre-press, no. Pre-press, pp. 1-13, 2024