Linguistic Intuitionistic Fuzzy Sets and Application in MAGDM

作者：Huimin Zhang · 发表于：Journal of Applied Mathematics · 年份：2014 · DOI：10.1155/2014/432092 · 被引用次数：147 · 研究领域：Multi-Criteria Decision Making、Optimization and Mathematical Programming、Rough Sets and Fuzzy Logic

To better deal with imprecise and uncertain information in decision making, the definition of linguistic intuitionistic fuzzy sets (LIFSs) is introduced, which is characterized by a linguistic membership degree and a linguistic nonmembership degree, respectively. To compare any two linguistic intuitionistic fuzzy values (LIFVs), the score function and accuracy function are defined. Then, based on t -norm and t -conorm, several aggregation operators are proposed to aggregate linguistic intuitionistic fuzzy information, which avoid the limitations in exiting linguistic operation. In addition, the desired properties of these linguistic intuitionistic fuzzy aggregation operators are discussed. Finally, a numerical example is provided to illustrate the efficiency of the proposed method in multiple attribute group decision making (MAGDM).