3 ) in order to manage and trace materials in mes , the concept , theorems and properties about a special set named s ( i ) are put forward . based on the properties and theorems of s ( i ) , a new method is presented to describe the material process state . it is a concise way using the material process state vector and material process state value to deal with the materials which provides a powerful mathematic tool for material management in mes 3 )面對制造執(zhí)行系統(tǒng)中的物料工藝狀態(tài)描述的困惑,建立了集合s ( i )的定義以及集合s ( i )的相關(guān)定理和性質(zhì),并在集合s ( i )理論的基礎(chǔ)上,研究了如何描述物料工藝狀態(tài)信息,從而為制造執(zhí)行系統(tǒng)中物料管理和物料跟蹤提供科學(xué)的方法。