Information Aggregation and Fuzzy Decision Making Based on Vague Set Theory

Abstract

Problems that need to accomplish reasoning or decision making tasks in fuzzy environment or fuzzy systems are usually called fuzzy decision making problems, and the fuzzy decision making is widely used in many scenarios such as comprehensive evaluation, assessment and review, and uncertain reasoning. Many extensions of fuzzy set theory, such as intuitionistic fuzzy set theory, Vague set theory and interval valued fuzzy set theory, have been proposed to better adapt to these applications. In the framework of Vague set theory, this paper discusses information aggregation and linear ordering, which are two key problems in the process of fuzzy decision making. Referring to some results of intuitionistic fuzzy set and interval valued fuzzy set theory, this paper proposes a complete fuzzy decision making method based on Vague set theory, and explains the application of this method through the evaluation of teaching quality.