Neutrosophic Cubic Power Muirhead Mean operators with uncertain data for multi-attribute decision-making

Qaisar Khan, Nasruddin Hassan, Tahir Mahmood

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The neutrosophic cubic set (NCS) is a hybrid structure, which consists of interval neutrosophic sets (INS) (associated with the undetermined part of information associated with entropy) and single-valued neutrosophic set (SVNS) (associated with the determined part of information). NCS is a better tool to handle complex decision-making (DM) problems with INS and SVNS. The main purpose of this article is to develop some new aggregation operators for cubic neutrosophic numbers (NCNs), which is a basic member of NCS. Taking the advantages of Muirhead mean (MM) operator and power average (PA) operator, the power Muirhead mean (PMM) operator is developed and is scrutinized under NC information. To manage the problems upstretched, some new NC aggregation operators, such as the NC power Muirhead mean (NCPMM) operator, weighted NC power Muirhead mean (WNCPMM) operator, NC power dual Muirhead mean (NCPMM) operator and weighted NC power dual Muirhead mean (WNCPDMM) operator are proposed and related properties of these proposed aggregation operators are conferred. The important advantage of the developed aggregation operator is that it can remove the effect of awkward data and it considers the interrelationship among aggregated values at the same time. Furthermore, a novel multi-attribute decision-making (MADM) method is established over the proposed new aggregation operators to confer the usefulness of these operators. Finally, a numerical example is given to show the effectiveness of the developed approach.

Original languageEnglish
Article number444
JournalSymmetry
Volume10
Issue number10
DOIs
Publication statusPublished - 1 Jan 2018

Fingerprint

Multi-attribute Decision Making
Power Mean
Uncertain Data
decision making
Aggregation Operators
Agglomeration
Decision making
operators
Operator Mean
Operator
Single valued
Weighted Mean
Interval
Entropy
Decision Making
intervals
hybrid structures
Numerical Examples

Keywords

  • MADM
  • MM operator
  • NC power dual MM operator (NCPDMM) operator
  • NCPMM operator
  • Neutrosophic cubic sets
  • PA operator

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Chemistry (miscellaneous)
  • Mathematics(all)
  • Physics and Astronomy (miscellaneous)

Cite this

Neutrosophic Cubic Power Muirhead Mean operators with uncertain data for multi-attribute decision-making. / Khan, Qaisar; Hassan, Nasruddin; Mahmood, Tahir.

In: Symmetry, Vol. 10, No. 10, 444, 01.01.2018.

Research output: Contribution to journalArticle

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