Journal of Systems Engineering and Electronics ›› 2008, Vol. 19 ›› Issue (5): 945-951.

• SYSTEMS ENGINEERING • Previous Articles     Next Articles

Rough similarity degree and rough close degree in rough fuzzy sets and the applications

Li Jian1, Xu Xiaojing2 & Shi Kaiquan1   

  1. 1. School of Mathematics and System Science, Shandong Univ., Jinan 250100, P. R. China;
    2. School of Computer Science & Technology, Shandong Jianzhu Univ., Jinan 250101, P. R. China
  • Online:2008-10-21 Published:2010-01-03

Abstract:

Based on rough similarity degree of rough sets and close degree of fuzzy sets, the definitions of rough similarity degree and rough close degree of rough fuzzy sets are given, which can be used to measure the similar degree between two rough fuzzy sets. The properties and theorems are listed. Using the two new measures, the method of clustering in the rough fuzzy system can be obtained. After clustering, the new fuzzy sample can be recognized by the principle of maximal similarity degree.