Properties, Improvements and Propagation of Compatibility Measurementbetween IntervalValued Fuzzy Sets
XU WeiHong1,2,3, ZENG ShuiLing1,2, YANG JingYu2, YE YouPei2
1.College of Mathematics and Computer Science, Jishou University, Jishou 416000 2.Department of Computer Science and Technology, Nanjing University of Science and Technology, Nanjing 210094 3.College of Computer and Communications Engineering, Changsha University of Science and Technology, Changsha 410077
Abstract The properties of compatibility measurement between intervalvalued fuzzy sets are analyzed, and the existing compatibility measurement is improved into a new formula, so called harmoniousness, which overcomes the unsymmetry and inherits other basic characteristics of the compatibility. How fuzzy inference methods propagate the compatibility and harmoniousness is also discussed. In practical applications, when antecedent and consequence of a known rule are normal fuzzy sets, the harmoniousness between input and the antecedent is not bigger than the one between output and the consequence by Zadeh’s Compositional Rule of Inference. Our research is advantageous to neatening fuzzy rule database based on intervalvalued fuzzy sets as well as analysis and choice of fuzzy inference methods.
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2006, Vol. 19 
