Method Research In Uncertain Multiple Attribute Decision Making

Multi-attribute decision-making is the main content of Modern Decision Analysis, and their essence is to rank the alternatives and choose the best alternative under many criteria.In general,multi-attribute decision-making contains plenty of fuzzy information or uncertain information.There are lots of uncertain multi-attribute decision-making problems.This paper mainly deals with the uncertain multi-attribute decision-making problems.It consists of four chapters.In the first chapter,we mainly introduce the development and current research situations of the uncertain multi-attribute decision-making problems.Furthermore,we list the main contribution of this paper.In the second chapter,we mainly discuss the interval-intuitionistic fuzzy multi-attribute decision making problem.First,a simple method is proposed to solve the multi-attribute decision making problem,in which the information about the attribute weights is incomplete and the attribute values take the form of interval-intuitionistic fuzzy numbers.Then,we discuss the interval-intuitionistic fuzzy multi-attribute decision-making problem,in which the decision maker gives his preference on alternatives.An optimization model is established based on minimizing the deviation.The score function or the point function about the integrated attribute value is solved to rank the alternatives.Finally,the example shows the feasibility of the proposed method.In the third chapter,we mainly discuss the trapezoid fuzzy numbers multi-attribute decision making problem.First,a decision-making method for similarity to ideal point is proposed to solve the multi-attribute.decision-making problem,in which the information about the attribute weights is unknown completely and the attribute values take the form of trapezoid fuzzy numbers.Then,we discuss the multi-attribute decision making problem,in which the decision maker gives his preference on attributes and the presence takes the form of trapezoid fuzzy number complementary judgment matrix. Attribute weights are obtained by solving expected value judgment matrix.Alternatives are ranked by using the expected value method of ranking trapezoid fuzzy numbers. Finally,an example shows the feasibility of the proposed method.In the last chapter,we first introduce the concepts and properties as well as the aggregated solutions of two-tuple.Methods are proposed to convert fuzzy numbers into two-tuple.A two-tuple linguistic decision making method is proposed to solve the hybrid multi-attribute decision making problems,in which the attribute values take the forms of interval- intuitionistic fuzzy number or triangular fuzzy number or trapezoid fuzzy number.Finally,an example is given to illustrate the validity and feasibility of the proposed method.