Scale Combinations in Inconsistent Generalized Multi-scale Decision Systems
WU Weizhi1,2, ZHUANG Yubin1,2, TAN Anhui1,2, XU Youhong1,2
1.School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan 316022 2.Key Laboratory of Oceanographic Big Data Mining and Application of Zhejiang Province, Zhejiang Ocean University, Zhoushan 316022
Abstract：To investigate knowledge acquisition in the sense of decision rules in inconsistent generalized multi-scale decision systems, the concept of scale combinations in generalized multi-scale information systems is firstly introduced.Information granules with different scale combinations as well as their relationships from generalized multi-scale information systems are then represented.Lower and upper approximations of sets with different scale combinations are further defined and their properties are explored.Finally, optimal scale combinations in inconsistent generalized multi-scale decision systems are discussed.Belief and plausibility functions in the Dempster-Shafer theory of evidence are employed to characterize optimal scale combinations in inconsistent generalized multi-scale decision systems.
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2018, Vol. 31 
