International Journal of Computational Intelligence Systems

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Volume 8, Issue 2, April 2015, Pages 345 - 363

Multi-valued Neutrosophic Sets and Power Aggregation Operators with Their Applications in Multi-criteria Group Decision-making Problems

Authors
Juan-juan Peng, Jian-qiang Wang, Xiao-hui Wu, Jing Wang, Xiao-hong Chen
Corresponding Author
Jian-qiang Wang
Received 26 March 2014, Accepted 24 November 2014, Available Online 1 April 2015.
DOI
10.1080/18756891.2015.1001957How to use a DOI?
Keywords
Multi-criteria group decision-making, multi-valued neutrosophic sets, power aggregation operators
Abstract

In recent years, hesitant fuzzy sets (HFSs) and neutrosophic sets (NSs) have become a subject of great interest for researchers and have been widely applied to multi-criteria group decision-making (MCGDM) problems. In this paper, multi-valued neutrosophic sets (MVNSs) are introduced, which allow the truth-membership, indeterminacy- membership and falsity-membership degree have a set of crisp values between zero and one, respectively. Then the operations of multi-valued neutrosophic numbers (MVNNs) based on Einstein operations are defined, and a comparison method for MVNNs is developed depending on the related research of HFSs and Atanassov's intuitionistic fuzzy sets (IFSs). Furthermore, the multi-valued neutrosophic power weighted average (MVNPWA) operator and the multi-valued neutrosophic power weighted geometric (MVNPWG) operator are proposed and the desirable properties of two operators are also discussed. Finally, an approach for solving MCGDM problems is explored by applying the power aggregation operators, and an example is provided to illustrate the application of the proposed method, together with a comparison analysis.

Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
8 - 2
Pages
345 - 363
Publication Date
2015/04/01
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.1080/18756891.2015.1001957How to use a DOI?
Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Juan-juan Peng
AU  - Jian-qiang Wang
AU  - Xiao-hui Wu
AU  - Jing Wang
AU  - Xiao-hong Chen
PY  - 2015
DA  - 2015/04/01
TI  - Multi-valued Neutrosophic Sets and Power Aggregation Operators with Their Applications in Multi-criteria Group Decision-making Problems
JO  - International Journal of Computational Intelligence Systems
SP  - 345
EP  - 363
VL  - 8
IS  - 2
SN  - 1875-6883
UR  - https://doi.org/10.1080/18756891.2015.1001957
DO  - 10.1080/18756891.2015.1001957
ID  - Peng2015
ER  -