Next Article in Journal
Multi-Granulation Graded Rough Intuitionistic Fuzzy Sets Models Based on Dominance Relation
Next Article in Special Issue
Some Interval Neutrosophic Dombi Power Bonferroni Mean Operators and Their Application in Multi–Attribute Decision–Making
Previous Article in Journal
Lorentzian Lattices and E-Polytopes
Previous Article in Special Issue
Generalized Neutrosophic Soft Expert Set for Multiple-Criteria Decision-Making
Open AccessArticle

Neutrosophic Cubic Power Muirhead Mean Operators with Uncertain Data for Multi-Attribute Decision-Making

1
Department of Mathematics and Statistics, International Islamic University Islamabad Pakistan, Islamabad 44000, Pakistan
2
School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM Bangi, Selongar DE 43600, Malaysia
*
Author to whom correspondence should be addressed.
Symmetry 2018, 10(10), 444; https://doi.org/10.3390/sym10100444
Received: 31 August 2018 / Revised: 21 September 2018 / Accepted: 25 September 2018 / Published: 28 September 2018
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. View Full-Text
Keywords: NC power dual MM operator (NCPDMM) operator; NCPMM operator; MADM; MM operator; Neutrosophic cubic sets; PA operator NC power dual MM operator (NCPDMM) operator; NCPMM operator; MADM; MM operator; Neutrosophic cubic sets; PA operator
MDPI and ACS Style

Khan, Q.; Hassan, N.; Mahmood, T. Neutrosophic Cubic Power Muirhead Mean Operators with Uncertain Data for Multi-Attribute Decision-Making. Symmetry 2018, 10, 444.

AMA Style

Khan Q, Hassan N, Mahmood T. Neutrosophic Cubic Power Muirhead Mean Operators with Uncertain Data for Multi-Attribute Decision-Making. Symmetry. 2018; 10(10):444.

Chicago/Turabian Style

Khan, Qaisar; Hassan, Nasruddin; Mahmood, Tahir. 2018. "Neutrosophic Cubic Power Muirhead Mean Operators with Uncertain Data for Multi-Attribute Decision-Making" Symmetry 10, no. 10: 444.

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop