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The Determinant and Adjoint of an Interval-Valued Neutrosophic Matrix

In: Neutrosophic Operational Research

Author

Listed:
  • Faruk Karaaslan

    (Faculty of Sciences, Çankiri Karatekin University)

  • Khizar Hayat

    (University of Kotli)

  • Chiranjibe Jana

    (Vidyasagar University)

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.

Suggested Citation

  • Faruk Karaaslan & Khizar Hayat & Chiranjibe Jana, 2021. "The Determinant and Adjoint of an Interval-Valued Neutrosophic Matrix," Springer Books, in: Florentin Smarandache & Mohamed Abdel-Basset (ed.), Neutrosophic Operational Research, pages 127-151, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-57197-9_7
    DOI: 10.1007/978-3-030-57197-9_7
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