Simplified neutrosophic sets and their applications in multi-criteria group decision-making problems
International Journal of Systems SciencePublished 6 January 2015
Juan‐juan Peng, Jian‐qiang Wang, Jian‐qiang Wang, Jing Wang, Jing Wang, Hong‐yu Zhang
Citations400
SJR quartileQ1
SJR score1.34
SNIP1.14
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TL;DR
The novel operations of simplified neutrosophic numbers (SNNs) are defined and a comparison method based on the related research of intuitionistic fuzzy numbers is developed and some SNN aggregation operators are proposed.
Abstract
As a variation of fuzzy sets and intuitionistic fuzzy sets, neutrosophic sets have been developed to represent uncertain, imprecise, incomplete and inconsistent information that exists in the real world. Simplified neutrosophic sets (SNSs) have been proposed for the main purpose of addressing issues with a set of specific numbers. However, there are certain problems regarding the existing operations of SNSs, as well as their aggregation operators and the comparison methods. Therefore, this paper defines the novel operations of simplified neutrosophic numbers (SNNs) and develops a comparison method based on the related research of intuitionistic fuzzy numbers. On the basis of these operations and the comparison method, some SNN aggregation operators are proposed. Additionally, an approach for multi-criteria group decision-making (MCGDM) problems is explored by applying these aggregation operators. Finally, an example to illustrate the applicability of the proposed method is provided and a comparison with some other methods is made.
Keywords
Decision SciencesEngineering
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