In　complex　system,　there　is　conflictive　or　consistent　relation　between　every　factor.　Universal　combinatorial　operation　provides　a　valid　path　to　resolve　the　problem.　The　conventional　universal　combinatorial　operation　model　has　been　limited　in　interval　[0,　1].　So　this　paper　studies　a　kind　of　universal　combinatorial　operation　model　based　on　interval　[a,　b].　And　some　important　theorems　are　given　and　proved,　which　provide　a　foundation　for　the　control　application　of　universal　combinatorial　operation.　©　2009　IEEE.