Intuitionistic fuzzy linguistic induced generalized hybrid weighted averaging operator and its application to take targeted measures in poverty alleviation

Multiple attribute decision making (MADM) problem is a common issue and to take targeted measures in poverty alleviation (TPA) is one of the typical MADM problem. Aggregation operator, which is significant in MADM problem, attracts many attentions in the intuitionistic fuzzy linguistic environment. In this paper, we introduce the intuitionistic fuzzy linguistic induced generalized ordered weighted averaging (IFLIGOWA) operator to provide a wide range of operators to aggregate the intuitionistic fuzzy linguistic information. Then, the new intuitionistic fuzzy linguistic entropy which takes all schemes into account is presented. Subsequently, we propose the intuitionistic fuzzy linguistic induced generalized hybrid weighted averaging (IFLIGHWA) operator whose weight vector is associated with both entropic weights and subjective weights. The properties of the IFLIGHWA operator are also studied. Eventually, the method based on the IFLIGHWA operator for MADM problem is presented and a numerical example about TPA is used to illustrate effectiveness of proposed method.

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