Multicriteria Decision-Making Based on Quadripartitioned Neutrosophic Cross-Entropy

M. Mohanasundari () and K. Mohana ()
Additional contact information
M. Mohanasundari: Nirmala College For Women
K. Mohana: Nirmala College for Women

A chapter in Neutrosophic Operational Research, 2021, pp 19-34 from Springer

Abstract: 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.

Keywords: Quadripartitioned single-valued neutrosophic set; Interval quadripartitioned neutrosophic set; Cross-entropy; Weighted cross-entropy; Multicriteria decision-making problems (search for similar items in EconPapers)
Date: 2021
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-57197-9_2

Ordering information: This item can be ordered from
http://www.springer.com/9783030571979

DOI: 10.1007/978-3-030-57197-9_2

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().