The Determinant and Adjoint of an Interval-Valued Neutrosophic Matrix

Faruk Karaaslan (), Khizar Hayat () and Chiranjibe Jana ()
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Faruk Karaaslan: Faculty of Sciences, Çankiri Karatekin University
Khizar Hayat: University of Kotli
Chiranjibe Jana: Vidyasagar University

A chapter in Neutrosophic Operational Research, 2021, pp 127-151 from Springer

Abstract: Abstract The neutrosophic set theory allows us to model an imperfect, incomplete, and inconsistent data. In real-world problems the interval-valued neutrosophic sets are most popular and elegant model to deal with uncertainties. In this study, determinant and adjoint of interval-valued neutrosophic (IVN) matrices are defined based on the permanent function. Also, some results are obtained related to the determinant and adjoint of the interval-valued neutrosophic matrices. Furthermore, the concepts of complement, constant, reflexive, symmetric, transitive, and idempotent IVN-matrices are defined, and some properties of them related to determinant and adjoint are derived.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-57197-9_7

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DOI: 10.1007/978-3-030-57197-9_7

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