WEN Xiaofeng1, ZHANG Xiaohong1*,WANG Jingqian1, LEI Tao2
(1 School of Mathematics and Data Science, Shaanxi University of Science and Technology, Xian 710021, Shaanxi, China;2 School of Electronic Information and Artificial Intelligence,Shaanxi University of Science and Technology, Xian 710021, Shaanxi, China)
Abstract:
Overlap function is closely related to continuous triangular norm and general overlap function is a further extension of overlap function.There are several important applications of (general) overlap function, such as image processing, data classification, uncertain multi-attribute decision making and so on. In this paper, the fuzzy rough set model based on continuous triangular norm is extended, a new kind of fuzzy rough set model is proposed by using (general) overlap function and its residual implication, and the basic properties of the new fuzzy upper and lower approximation operators are analyzed and studied. At the same time, a new uncertainty multi-attribute decision making method is proposed by using the fuzzy upper and lower approximation operators, and the feasibility and effectiveness of the new method is illustrated by a specific case.
KeyWords:
overlap function; general overlap function; continuous triangular norm; fuzzy rough set; multi-attribute decision making