Abstract
The partition of indeterminacy function of the neutrosophic set into the contradiction part and the ignorance part represent the quadripartitioned single valued neutrosophic set. In this work, the new concept of quadripartitioned bipolar single valued neutrosophic graph is established, and the operations on it are studied. The Cartesian product, cross product, lexicographic product, strong product and composition of quadripartitioned bipolar single valued neutrosophic graph are investigated. The proposed concepts are illustrated with examples.
Highlights
Bipolar fuzzy sets are more useful, beneficial, and applicable in real-world situations
Despite the neutrosophic indeterminacy is independent of the truth and falsity-membership values, but it is more general than the hesitation margin of intuitionistic fuzzy sets
By employing the concept of Quadripartitioned Single Valued Neutrosophic Set (QSVNS), this paper presents the quadripartitioned single-valued neutrosophic graphs
Summary
Bipolar fuzzy sets are more useful, beneficial, and applicable in real-world situations. Despite the neutrosophic indeterminacy is independent of the truth and falsity-membership values, but it is more general than the hesitation margin of intuitionistic fuzzy sets. Wang et al [5] initiated the concept of a single-valued neutrosophic set and provide its various properties It has been widely applied in various fields, such as information fusion in which data are combined from different sensors [7], control theory [8], image processing [9], medical diagnosis [10], decision making [11,12], and graph theory [13,14,15,16,17,18,19,20], etc.
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