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《Fuzzy Systems and Mathematics》 2018-03
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The Decision Operator Based on the Triangular Function Type Additive Generator

ZHANG Hui;LI Shu-gao;LI Bo-quan;School of Mathematics and Computer Science,Anhui Normal University;  
On the basis of the four additive generators,which are f(x)=cos(π/2x),g(x)=sin(π/2x),p(x)=tan(π/2x) and h(x)=tan(-π/2+πx)(x ∈ [0,1]),a special series of continuous Archimedean t-norm,t-conorm and uninorm decision operators are obtained.Based on the generators,the problemof that the OWA operator and the algebraic t-norm decision decision operator T(x,y)=xy become invalid is solved,and a general step of the multi-attribute decision making is given.Finally,anexample of investment decision making by an investment bank is applied to illustrate its application in multi-attribute decision making.
【Fund】: 国家自然科学基金面上项目(61772034);; 安徽省高等学校自然科学研究项目(KJ2016A269)
【CateGory Index】: O225
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