Multi-attribute decision making based on neutral averaging operators for intuitionistic fuzzy information

• DOI: 10.1016/j.asoc.2014.10.039
• Publication Date: 2014-11-06T19:38:12Z
• Authors: Yingdong He; Huayou Chen; Zhen He; Ligang Zhou
• Keywords: 0202 electrical engineering, electronic engineering, information engineering; 02 engineering and technology; 3. Good health

The neutral operation and scalar neutral operation are proposed.The geometric meaning of the PS function is interpreted.The proportional distribution rules of membership function and non-membership function of IFSs are explained.We develop the IFWNA operator and the IFOWNA operator and investigate the properties.The new operators are applied to decision making and given the comparisons. In this paper, we construct the probability sum (PS) function and the proportional distribution rules of membership function and non-membership function of intuitionistic fuzzy sets (IFSs), and give their corresponding geometric interpretations. Based on which, we present the neutrality operation and the scalar neutrality operation on intuitionistic fuzzy numbers (IFNs). We propose the intuitionistic fuzzy weighted neutral averaging (IFWNA) operator and the intuitionistic fuzzy ordered weighted neutral averaging (IFOWNA) operator. The properties of the IFWNA operator and the IFOWNA operator are investigated. The principal advantages of the proposed operators are that both the attitude of the decision makers and the interactions between different intuitionistic fuzzy numbers (IFNs) are considered. Furthermore, approaches to multi-criteria decision making based on the proposed IFWNA and IFOWNA operator are given. Finally, an example is illustrated to show the feasibility and validity of the new approaches to the application of decision making.