Research on Extension of the Fuzzy Rough Set Theory Yu Zhang School of Electronic and Electrical Engineering Shanghai University of Engineering Science

摘要

With the probability rules and the degree of coverage of elements in the partition set, and the combination of the Fuzzy Set Theory and Rough Set Theory, a new extension of Fuzzy Rough Set theory was proposed. It is defined the maximum of Rough Set membership function, the minimum of Rough Set membership function, the average of Rough Set membership function, the upper minimum of Rough Set membership function and the lower maximum of Rough Set membership function. The properties of the extension for the Rough Set membership functions are also given. This made Fuzzy Set Theory and Rough Set Theory complemented each other and provided a new way to deal with incomplete data.