Abstract

The method to determine the measure of fuzzy complex Choquet integral is based on experience evaluation, which has great subjectivity. Therefore, based on complex fuzzy measure and complex fuzzy valued fuzzy measure in complex field, the complex interval valued function and complex field are provided. Then, according to the classical classification model and fuzzy integral classification model, a classifier classification method based on complex Choquet fuzzy integral is proposed and its properties are discussed. A formula for calculating the correlation coefficient of Choquet integral from each alternative to a positive ideal one is derived, and a multi-attribute decision making strategy based on the formula is also put forward. Finally, the feasibility of the proposed method is illustrated by the comparison of an example and the relevant decision-making methods.

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