Research On Multiple Attribute Decision Making Method Under Pythagorean Fuzzy Information Environment

With the rapid development of information technology and big data,the practical decision making environment is becoming more and more complex.In view of the shortage of knowledge and experience for decision makers,Pythagorean fuzzy information is often used to express decision information in the face of complex decision problems in management science and engineering.In this paper,the multiple attribute decision making problems are deeply studied,in which the decision information is represented by Pythagorean fuzzy numbers.This paper explores the method and the aggregation operator theory of the Pythagorean fuzzy multiple attribute decision making in practical management problems.The main aim is given as follows:(1)Considering that the decision maker's psychological factors play an important role in the decision making results,the complex multiple attribute decision making problems with Pythagorean fuzzy number and unknown attribute weight are studied.A risk-based Pythagorean fuzzy decision making approach considering regret and disappointment aversion is proposed,it provides a new method for solving a class of decision making problems which take into account the decision makers' risk aversion feature.In addition,the concept of interval valued Pythagorean fuzzy relative entropy is given.Based on the new relative entropy,an interval valued Pythagorean fuzzy multiple attribute AQM decision making method is developed.By using the comprehensive 0-1 priority relation matrix among alternatives,the ranking results of alternatives are obtained according to the comprehensive degree of alternatives.(2)For the multiple attribute decision making problems in which the attribute information is expressed by Pythagorean fuzzy numbers and attributes are interrelated,an inductive generalized Pythagorean fuzzy Choquet integral aggregation operator is proposed.At the same time,the problem of multiple attribute group decision making with attribute information expressed by interval valued Pythagorean fuzzy numbers is studied,and a continuous interval valued Pythagorean fuzzy aggregation operator is defined.In the process of aggregation,both interval endpoint information and interval interior data information are considered,which improves the precision of Pythagorean fuzzy aggregation operator.(3)The multiple attribute decision making problem with Pythagorean fuzzy 2-tuple linguistic information is studied.A new Pythagorean fuzzy 2-tuple linguistic operation is defined,the characteristic of proposed operation is closed.Based on this operation,some new Pythagorean fuzzy 2-tuple algebraic aggregation operators and geometric aggregation operators are presented.Further,the Pythagorean fuzzy 2-tuple linguistic aggregation operators are extended to interval valued Pythagorean fuzzy decision environment.The good properties of these proposed aggregation operators are studied and applied to deal with complex multiple attribute decision making problems.The multiple attribute decision making approach and aggregation operators under Pythagorean fuzzy information environment are studied deeply,which provides a new method for settling complex fuzzy multiple attribute decision making problems.The paper consists of 6 drawings,51 tables and 184 references.