Affiliations: College of Mathematics and Statistics, Northwest Normal University, Lanzhou, P.R. China
Correspondence:
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Corresponding author. Zengtai Gong, College of Mathematics and Statistics, Northwest Normal University, Lanzhou, 730070, P.R. China. Tel.: +86 931 7971845. E-mails: [email protected] and [email protected]
Note: [1] This work is supported by National Natural Science Foundation of China (61763044).
Abstract: Up to now, there have been a lot of research results about multi-attribute decision making problems by fuzzy graph theory. However, there are few investigations about multi-attribute decision making problems under the background of indecisiveness. The main reason is that the difference of cognition and the complexity of thinking by decision makers, for the same question have different opinions. In this paper, we proposed a hesitant fuzzy hypergraph model based on hesitant fuzzy sets and fuzzy hypergraphs. At the same time, some basic graph operations of hesitant fuzzy hypergraphs are investigated and several equivalence relationship between hesitant fuzzy hypergraphs, hesitant fuzzy formal concept analysis and hesitant fuzzy information systems are discussed. Since granular computing can deal with multi-attribute decision-making problems well, we considered the hesitant fuzzy hypergraph model of granular computing, and established an algorithm of multi-attribute decision-making problem based on hesitant fuzzy hypergraph model. Finally an example is given to illustrate the effectiveness of the algorithm.
