【泛算子结构及级差格式研究】同小军.pdf
DissertationSubmittedinPartialFulfillment of theRequirements For the Degree of Doctor of Philosophyin Engineering Researches on thePan-operationStructures and GradeDifferenceFormats Ph.D.Candidate:Tong Xiaojun Major:Control Theory and Control Engineering Supervisor:Prof.
华中科技大学博士学位论文 的三角模结构。在+≠e时,利用半群理论、泛乘算子.的幕等元的特殊性质 通过构造同构映射,给出了泛算子结构,并由该结构可以定义更一般的非可加型 模糊积分,当存在幂等元不小于单位元时即是已有的Zadeh不可加型积分。此外,还得到了二元运算.在[0,+∞o]上连续的充要条件是单位元e=+∞o 上面的结果引出这样两个问题:当泛乘算子已知时,什么样的泛加算子 与其可构成可换等张半环？该问题的解决直接关系到模糊控制不同的计算公式.
华中科技大学博士学位论文 Abstract The rapid development of systems science assumes an increasingly important roleinimplementing thestrategyofrevitalizingthenation throughscienceand education and the strategy of sustainable development as well as promoting knowledgeeconomydevelopment andeconomyglobalization.