Research On Pythagorean Fuzzy Multi-attribute Decision Making Method

The fuzzy set theory opens a new perspective for the study of uncertain information.Then the related theories such as the Intuitionistic fuzzy set and the Pythagorean fuzzy set are successively proposed on the basis of the fuzzy set concept.The Pythagorean fuzzy set is based on the further expansion of the Intuitionistic fuzzy set,which can describe more uncertainties,and has higher capacity and applicability for uncertain information.In this paper,the multi-attribute decision-making method of Pythagorean fuzzy set and the multi-attribute decision-making method of interval Pythagorean fuzzy set are studied from different dimensions,which further enriches Pythagorean fuzzy decision theory.Multi-attribute decision making with uncertain information provides a new and effective method.The basic research content of this paper includes:(1)Study the correlation measure of the Pythagorean fuzzy set.Firstly,based on the Pythagorean fuzzy number scoring function,we consider the influence of hesitancy degree on the whole function and combine it with the membership degree and non-membership degree to define a new scoring function of Pythagorean fuzzy number.Based on the study of similarity and entropy,the Pythagorean fuzzy similarity and Pythagorean fuzzy entropy are proposed based on the properties of Pythagorean fuzzy sets.(2)Study Pythagorean fuzzy information weighting method and interval Pythagoras fuzzy information weighting method.A Pythagorean fuzzy information weighting method based on case-based reasoning is proposed.Pythagorean fuzzy information weighting method based on entropy weight method;Pythagorean fuzzy based on WOWA operator subjective and objective comprehensive weighting method Information weighting method.The WOWA operator is extended to the interval Pythagorean fuzzy field.The interval Pythagorean fuzzy information weighting method based on WOWA operator is proposed,and the interval Pythagorean fuzzy information WOWA operator degenerates into WA operator,OWA operator conditions.(3)A multi-attribute decision-making method for studying Pythagorean fuzzy information and interval Pythagorean fuzzy information.A Pythagorean fuzzy multi-attribute decision-making model based on case-based reasoning and a Pythagorean fuzzy multi-attribute decision-making model based on WOWA operator are constructed.The Pythagorean fuzzy multi-attribute decision proposed in this paper is applied to the personalized hotel recommendation system.Firstly,the index system of personalized hotel recommendation system is constructed,and then the personalization based on Pythagoras fuzzy is designed.The hotel recommended a way to provide a new idea for personalized hotel recommendations.