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Multicriteria Decision-Making Based on Quadripartitioned Neutrosophic Cross-Entropy

In: Neutrosophic Operational Research

Author

Listed:
  • M. Mohanasundari

    (Nirmala College For Women)

  • K. Mohana

    (Nirmala College for Women)

Abstract

Entropy is used to address the concept of uncertainty or average level of information. Entropy is also known as “information entropy” which was introduced by Claude Shannon in 1948. To study the concept of entropy measure plays a vital role in day-to-day life because many real-life problems involved indeterminate and inconsistent information measures. Neutrosophic set is a well-built formal structure in which indeterminacy is specified explicitly and also deals the inconsistent, incomplete information present in most real-life problems effectively. In this paper we have defined the cross-entropy of quadripartitioned single-valued neutrosophic set (QSVNS) as an extension of the cross-entropy of single-valued neutrosophic set (SVNS). And also we have studied the cross-entropy of interval quadripartitioned neutrosophic set (IQNS) as an extension of cross-entropy of QSVNS. Finally we discussed a multicriteria decision-making problem based on the proposed method in which the alternatives are under QSVNS and IQNS environment, respectively. And also we have defined the concept of weighted cross-entropy in the illustrative problem to select the best alternative based on the rank of the alternatives.

Suggested Citation

  • M. Mohanasundari & K. Mohana, 2021. "Multicriteria Decision-Making Based on Quadripartitioned Neutrosophic Cross-Entropy," Springer Books, in: Florentin Smarandache & Mohamed Abdel-Basset (ed.), Neutrosophic Operational Research, pages 19-34, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-57197-9_2
    DOI: 10.1007/978-3-030-57197-9_2
    as

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