Abstract
In this paper the concepts of neutrosophic bipolar vague resolvable, neutrosophic bipolar vague irresolvable, neutrosophic bipolar vague open hereditarily irresolvable spaces, maximally neutrosophic bipolar vague irresolvable spaces and neutrosophic bipolar vague submaximal spaces are introduced. Also we study several interesting properties of the neutrosophic bipolar vague open hereditarily irresolvable spaces besides giving characterization of these spaces by means of somewhat neutrosophic bipolar vague continuous and somewhat neutrosophic bipolar vague open functions
Highlights
The fuzzy concept had invaded almost all branches of mathematics ever since the introduction of fuzzy sets by L
Bipolar-valued fuzzy sets, which was introduced by Lee [8,9] is an extension of fuzzy sets whose membership degree range is extended from the interval [0, 1] to [-1, 1]
The membership degrees of the Bipolar valued fuzzy sets signify the degree of satisfaction to the property analogous to a fuzzy set and its counter-property in a bipolar valued fuzzy set, if the membership degree is 0 it means that the elements are unrelated to the corresponding property
Summary
Indeterminacy-membership degree and falsity membership grade of an element in the universe X. The conception of Neutrosophic Topological space was introduced by A.A.Salama and S.A.Alblowi [11]. The membership degrees of the Bipolar valued fuzzy sets signify the degree of satisfaction to the property analogous to a fuzzy set and its counter-property in a bipolar valued fuzzy set, if the membership degree is 0 it means that the elements are unrelated to the corresponding property. Deli et al [4] announced the concept of bipolar neutrosophic sets, as an extension lead of neutrosophic sets. Satham Hussain [12] introduced Neutrosophic bipolar vague sets. Mohana K and Princy R [10] have introduced Neutrosophic Bipolar Vague sets in topological spaces. The concepts of resolvability and irresolvability in topological spaces was introduced by E. The concept of open hereditarily irresolvable spaces in the classical topology was introduced by A. The concept of fuzzy resolvable and irresolvable spaces was introduced by G. In this paper the concept of neutrosophic bipolar vague resolvable, neutrosophic bipolar vague irresolvable, neutrosophic bipolar vague open hereditarily irresolvable spaces and maximally neutrosophic bipolar vague irresolvable spaces are introduced
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