Next Article in Journal
Combining the Technology Acceptance Model and Uses and Gratifications Theory to examine the usage behavior of an Augmented Reality Tour-sharing Application
Next Article in Special Issue
A Novel Rough Set Model in Generalized Single Valued Neutrosophic Approximation Spaces and Its Application
Previous Article in Journal
On Submanifolds in a Riemannian Manifold with a Semi-Symmetric Non-Metric Connection
Previous Article in Special Issue
Solving Solar-Wind Power Station Location Problem Using an Extended Weighted Aggregated Sum Product Assessment (WASPAS) Technique with Interval Neutrosophic Sets
Open AccessArticle

Multiple Attribute Group Decision-Making Method Based on Linguistic Neutrosophic Numbers

by Zebo Fang 1 and Jun Ye 2,*
1
Department of Physics, Shaoxing University, 508 Huancheng West Road, Shaoxing 312000, Zhejiang, China
2
Department of Electrical and Information Engineering, Shaoxing University, 508 Huancheng West Road, Shaoxing 312000, Zhejiang, China
*
Author to whom correspondence should be addressed.
Academic Editors: Florentin Smarandache and Sergei D. Odintsov
Symmetry 2017, 9(7), 111; https://doi.org/10.3390/sym9070111
Received: 2 June 2017 / Revised: 26 June 2017 / Accepted: 3 July 2017 / Published: 7 July 2017
(This article belongs to the Special Issue Neutrosophic Theories Applied in Engineering)
Existing intuitionistic linguistic variables can describe the linguistic information of both the truth/membership and falsity/non-membership degrees, but it cannot represent the indeterminate and inconsistent linguistic information. To deal with the issue, this paper originally proposes the concept of a linguistic neutrosophic number (LNN), which is characterized independently by the truth, indeterminacy, and falsity linguistic variables. Then, we define the basic operational laws of LNNs and the score and accuracy functions of LNN for comparing LNNs. Next, we develop an LNN-weighted arithmetic averaging (LNNWAA) operator and an LNN-weighted geometric averaging (LNNWGA) operator to aggregate LNN information and investigate their properties. Further, a multiple attribute group decision-making method based on the proposed LNNWAA or LNNWGA operator is established under LNN environment. Finally, an illustrative example about selecting problems of investment alternatives is presented to demonstrate the application and effectiveness of the developed approach. View Full-Text
Keywords: linguistic neutrosophic number; score function; accuracy function; linguistic neutrosophic number weighted arithmetic averaging (LNNWAA) operator; linguistic neutrosophic number weighted geometric averaging (LNNWGA) operator; multiple attribute group decision-making linguistic neutrosophic number; score function; accuracy function; linguistic neutrosophic number weighted arithmetic averaging (LNNWAA) operator; linguistic neutrosophic number weighted geometric averaging (LNNWGA) operator; multiple attribute group decision-making
MDPI and ACS Style

Fang, Z.; Ye, J. Multiple Attribute Group Decision-Making Method Based on Linguistic Neutrosophic Numbers. Symmetry 2017, 9, 111.

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.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop