SUOWA Operators Based On Sugeno Measures And Its Recursive Systems

Taking the average(including arithmetic average,geometric average,weighted average,etc.)is considered as the easiest method to integrate information or fusion data(especially multivariate information fusion).In fact,in a information integra-tion,the weighted averaging(WA)operators and the ordered weighted averaging(OWA)operators are complementary.Therefore,some scholars combined the WA operators a.nd the OWA operators to systematically study an integration method that considers both attribute weights and position weights,which is characterized by a information integration operator including two weight vectors.However,no one doubts that the weight vectors cannot be independently measured,and may not satisfy the additivity of classical probability measures.Therefore,this thesis combines the two sets of measures by using the uninorm or semi-uninorm general-ized by the triangular norm,and uses the characteristics of the semi-uninorm based ordered weighted averaging(SUOWA)operator,the weighted ordered weighted aver-aging(WOWA)operator,and the orness measures.Based on Sugeno measures,the semi-uninorm based ordered weighted averaging(SUOWA)operators,the weighted ordered weighted averaging(WOWA)operators,and the recursive aggregation the-ory are investigated and discussed in detailFirstly,by means of the definition of Sugeno measures and the uninorm and semi-uninorm generalized by the triangular module,the definition and properties of Choquet integral based on Sugeno measures semi-uninorm and its associated orness measures are presented,and it is illustrated by some examplesSecondly,using the semi-uninorm based the ordered weighted averaging(SUOWA)operators,a recursive integration principles based on the semi-uninorm based or-dered weighted averaging(SUOWA)operators are proposed and studied,namely the left recursive integration principle,the right recursive integration principle,and the general recursive integration principleFinally,with the investigation of the weighted ordered weighted averaging(WOWA)operators,a special semi-uninorm based on Sugeno measures and fuzzy quantifier,Choquet integral and its properties are proposed and studied.