A mathematical model of ternary fuzzy set for voting

Intuitionistic fuzzy sets can effectively deal with the support information, opposition information and abstention information of candidates in many voting. However, it may be hardly to handle some information of voting for non-candidates in some voting. In order to handle the aforementioned problem, the concept of ternary fuzzy set and ternary fuzzy number are defined, and the corresponding operations are given and discussed. Then, a mathematical model for voting is established based on the ternary fuzzy set and ternary fuzzy number, the effectiveness of the model is verified by an example.