【作者】 尹守峰；

【导师】 史开泉；

【作者基本信息】 山东大学 ， 系统理论， 2006， 博士

【摘要】 粗管理决策是以α-等价类[x]作为管理对象的管理决策，这类管理决策几乎遍及所有的管理系统中，然而并未引起人们的注意与重视。人们通常遇到的管理决策都是以单个元素x作为管理对象，以α-等价类[x]（一般card（[x]）＞1）作为管理决策对象是“粗”的直观含义，也是与普通决策的区别，粗管理决策具有很多优点，已引起人们对它的注意与研究兴趣。本文把普通的管理决策与Z．Pawlak粗集(R_X，R^-（X）)，单向S-粗集（（R，F）。（X°），（R，F）°（X°）），双向S-粗集（（R，（?））。（X^*），（R，（?））°（X^*））交叉、渗透，扩展提出：粗管理决策，单向S-粗管理决策，双向S-粗管理决策；给出粗管理决策模型与分析；这里：（?）=F∪（?），F≠φ，（?）≠φ；F，（?）分别是元素迁移。提出S-粗管理决策的传递特性，S-粗管理决策的遗传特性与遗传定理，建立了粗管理决策的理论框架。事实上，如果把α-等价类[x]看成元素x，则粗管理决策退化成普通管理决策。因此，普通管理决策是粗管理决策的特例，粗管理决策是普通管理决策的一般形式。 本文给出的主要结果是： 令X=R_X={x_，x₂，…，x_m}，Y=R^-（X）={x₁，x₂，…，x_n)，m≤n；X与Y上的粗管理决策u_j^（x），u_j^（y）分别是 u_j^（x）=1/(1+{sum from i=1 to m (w_（x）(g_i（x）-r_ij^（x）p/sum from i=1 to m (w_i^（x）(r_ij^（x）-b_i^（x）P})^2/p （*）这里：u_j^（x）∈（0，1）更多还原

【Abstract】 Rough management decision is the management dicision that consider α-equivalent class [x] as the managing object, which exists in almost all management systems, but does not cause enough attention. In fact the management decision people usually faced regards singular element x as the management object. Regarding α -equivalent class [x] （generally card{[x] > 1） as the management object is the meanings of "roughness" and the difference to common decision. Because of so many merits of rough management decision, it has attracted people’s attention and research interest In this paper we present rough management decision, one direction S-rough management decision, two direction S-rough management decision and give its model and analysis based on common management decision and Z.Palwak rough sets(R_X,R^- （X）), one direction S-rough sets（（R,F）.（X^·）,（R,F）^·（X^·））, two direction S-rough set （（R,?）.（X^·）,（R,?）^· {X^·）), where ?= F U （F|—）, F ≠φ, （F|—）≠φ;F, （F|—） are separately the element transfers. And then present the transfer characteristic of S-rough management decision, the heredity characteristic and heredity theorem of S-rough management decision, with which we set up the theoretical frame of rough management decision. In fact, if we consider α-element equivalent class [x] as element x, then the rough management decision changes into common management decision. So the common management decision is a special case of rough management decision and rough management decision is the general form of common management decision.The central results of this paper are as follows:更多还原