Interval Valued Pentapartitioned Neutrosophic Graphs with an Application to MCDM

• Said Broumi Laboratory of Information Processing, Faculty of Science Ben M’Sik, University of Hassan II, Casablanca, Morocco
• D Ajay Department of Mathematics, Sacred Heart College (Autonomous), Tamilnadu, India
• P Chellamani Department of Mathematics, Sacred Heart College (Autonomous), Tamilnadu, India
• Lathamaheswari Malayalan Department of Mathematics, Hindustan Institute of Technology & Science, Chennai, India
• Mohamed Talea Laboratory of Information Processing, Faculty of Science Ben M’Sik, University of Hassan II, Casablanca, Morocco
• Assia Bakali Ecole Royale Navale-Boulevard Sour Jdid, Morocco
• Philippe Schweizer Independent researcher, Switzerland
• Saeid Jafari College of Vestsjaelland South Herrestarede 11, Denmark
Keywords: Neutrosophic Set; Interval valued Pentapartitioned Neutrosophic sets; Neutrosophic Graph; IVPPN-Graph.

Abstract

The concept of interval valued pentapartitioned neutrosophic set is the extension of interval-valued neutrosophic set, quadripartitioned neutrosophic set, interval valued quadripartitioned neutrosophic set and pentapartitioned neutrosophic set. The powerful mathematical tool known as the interval valued pentapartitioned neutrosophic set divides indeterminacy into three separate components: unknown, contradiction, and ignorance. There are several applications for graph theory in everyday life, and it is a rapidly growing topic. The concept of an interval valued pentapartitioned neutrosophic set is used in graph theory. A decision-making method ( multicriteria, MCDM) is proposed by using the developed Interval valued Pentapartitioned Neutrosophic set with a numerical illustration. In this paper, as an extension of interval valued neutrosophic graph theory, we introduce the notions of Interval-Valued Pentapartitioned Neutrosophic Graph (IVPPN-graph) with degree, size, and order of an IVPPN-graph.

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Published
2022-10-03
How to Cite
Broumi, S., Ajay, D., Chellamani, P., Malayalan, L., Talea, M., Bakali, A., Schweizer, P., & Jafari, S. (2022). Interval Valued Pentapartitioned Neutrosophic Graphs with an Application to MCDM. Operational Research in Engineering Sciences: Theory and Applications. https://doi.org/10.31181/oresta031022031b
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