Operational Research in Engineering Sciences

Journal DOI: https://doi.org/10.31181/oresta190101s

(A Journal of Management and Engineering) ISSN 2620-1607 | ISSN 2620-1747 |

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

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.

Keywords
Neutrosophic Set; Interval valued Pentapartitioned Neutrosophic sets; Neutrosophic Graph; IVPPN-Graph..

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CiteScore for Management Science and Operations Research

8.1
2021CiteScore
 
 
89th percentile
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CiteScore for Engineering (miscellaneous)

8.1
2021CiteScore
 
 
93rd percentile
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