Next Article in Journal
Three-Way Decisions with Interval-Valued Intuitionistic Fuzzy Decision-Theoretic Rough Sets in Group Decision-Making
Previous Article in Journal
Hyperbolicity of Direct Products of Graphs
Previous Article in Special Issue
A Forecasting Model Based on Multi-Valued Neutrosophic Sets and Two-Factor, Third-Order Fuzzy Fluctuation Logical Relationships
Article Menu

Export Article

Open AccessArticle
Symmetry 2018, 10(7), 280; https://doi.org/10.3390/sym10070280

Multi-Criteria Decision-Making Method Based on Prioritized Muirhead Mean Aggregation Operator under Neutrosophic Set Environment

School of Mathematics, Thapar Institute of Engineering & Technology, Deemed University, Patiala, Punjab 147004, India
*
Author to whom correspondence should be addressed.
Received: 6 June 2018 / Revised: 5 July 2018 / Accepted: 9 July 2018 / Published: 12 July 2018
View Full-Text   |   Download PDF [324 KB, uploaded 13 July 2018]

Abstract

The aim of this paper is to introduce some new operators for aggregating single-valued neutrosophic (SVN) information and to apply them to solve the multi-criteria decision-making (MCDM) problems. Single-valued neutrosophic set, as an extension and generalization of an intuitionistic fuzzy set, is a powerful tool to describe the fuzziness and uncertainty, and Muirhead mean (MM) is a well-known aggregation operator which can consider interrelationships among any number of arguments assigned by a variable vector. In order to make full use of the advantages of both, we introduce two new prioritized MM aggregation operators, such as the SVN prioritized MM (SVNPMM) and SVN prioritized dual MM (SVNPDMM) under SVN set environment. In addition, some properties of these new aggregation operators are investigated and some special cases are discussed. Furthermore, we propose a new method based on these operators for solving the MCDM problems. Finally, an illustrative example is presented to testify the efficiency and superiority of the proposed method by comparing it with the existing method. View Full-Text
Keywords: neutrosophic set; prioritized operator; Muirhead mean; multicriteria decision-making; aggregation operators; dual aggregation operators neutrosophic set; prioritized operator; Muirhead mean; multicriteria decision-making; aggregation operators; dual aggregation operators
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Garg, H.; Nancy. Multi-Criteria Decision-Making Method Based on Prioritized Muirhead Mean Aggregation Operator under Neutrosophic Set Environment. Symmetry 2018, 10, 280.

Show more citation formats Show less citations formats

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

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Symmetry EISSN 2073-8994 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top