Research On Decision Making Method And Distance Measure Based On Interval-Valued Intuitionistic Fuzzy Set

Nowdays,the Internet technology is continuously developing,and the Internet of Things technology is rising.Thus making the data more and more complicated,such as transportation,health care,education,business and other fields.These data are massive,and also present such characteristics as heterogeneous,multidimensional and uncertain.It is important to mine useful information from such data to make correct decisions.The fuzzy control and fuzzy decision-making are based on fuzzy set theory,and in this context,these topics produce research significance and application value.The main contents of this paper include the following three aspects:(1)In the interval-valued intuitionistic fuzzy information system,the limition of the traditional multiple attribute decision making method based on dominance are discussed.The concepts of information quantity and attribute significance are extended to the interval intuitionistic fuzzy environment.An improved multi-attribute decision-making method is proposed,and an example is given to illustrate the feasibility of this method.(2)The dominance relationship is extended to the incomplete interval-valued intuitionistic fuzzy information system.The related concepts and properties of the dominance relationship,dominance and attribute significance in this environment are given.A multi-attribute decision-making method of incomplete interval-valued intuitionistic fuzzy is proposed,and the feasibility of the method is illustrated by an example.(3)In view of the measurement limitation of interval-valued intuitionistic fuzzy information granularity,the concept of fuzzy granular structure distance is extended to the interval-valued intuitionistic fuzzy environment,and the concepet of the granular structure distance in this environment is put forward.The relevant theorems and properties are studied,and the correctness of the proposed concepts is illustrated by examples.Finally,the potential application of the distance is discussed.