Multiattribute decision making based on interval-valued intuitionistic fuzzy values

作者：Chen Shyi Ming^*; Lee Li Wei; Liu Hsiang Chuan; Yang Szu Wei

来源：Expert Systems with Applications, 2012, 39(12): 10343-10351.

DOI：10.1016/j.eswa.2012.01.027

• Multiattribute decision making
• Interval-valued intuitionistic fuzzy sets
• Interval-valued intuitionistic fuzzy values
• Karnik-Mendel algorithms
• Intuitionistic fuzzy weighted average operator
• Interval-valued intuitionistic fuzzy weighted average operator
• Likelihood-based comparison relations

In this paper, we present a new multiattribute decision making method based on the proposed interval-valued intuitionistic fuzzy weighted average operator and the proposed fuzzy ranking method for intuitionistic fuzzy values. First, we briefly review the concepts of interval-valued intuitionistic fuzzy sets and the Karnik-Mendel algorithms. Then, we propose the intuitionistic fuzzy weighted average operator and interval-valued intuitionistic fuzzy weighted average operator, based on the traditional weighted average method and the Karnik-Mendel algorithms. Then, we propose a fuzzy ranking method for intuitionistic fuzzy values based on likelihood-based comparison relations between intervals. Finally, we present a new multiattribute decision making method based on the proposed interval-valued intuitionistic fuzzy weighted average operator and the proposed fuzzy ranking method for intuitionistic fuzzy values. The proposed method provides us with a useful way for multiattribute decision making based on interval-valued intuitionistic fuzzy values.

• 出版日期2012-9-15