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
Juan-juan Peng, Jian-qiang Wang, Xiao-hui Wu, Jing Wang, Xiao-hong Chen
Received 26 March 2014, Accepted 24 November 2014, Available Online 1 April 2015.
- https://doi.org/10.1080/18756891.2015.1001957How to use a DOI?
- Multi-criteria group decision-making, multi-valued neutrosophic sets, power aggregation operators
- 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.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
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 - https://doi.org/10.1080/18756891.2015.1001957 ID - Peng2015 ER -