运筹与管理
運籌與管理
운주여관리
OPERATIONS RESEARCH AND MANAGEMENT SCIENCE
2014年
2期
41-48
,共8页
应急决策%模糊粗糙集%双论域%非确定型决策
應急決策%模糊粗糙集%雙論域%非確定型決策
응급결책%모호조조집%쌍론역%비학정형결책
emergency decision-making%fuzzy rough set%two universes%uncertainty decision-making
以突发危机事件应急决策为应用背景,讨论了双论域上模糊粗糙集的基本理论,建立了基于模糊相容关系的双论域模糊粗糙集模型。在此基础上,把突发危机事件应急决策转化为一个具有模糊决策对象的双论域决策近似空间上的粗糙近似问题,构建了基于双论域模糊粗糙集的应急决策模型。首先在双论域近似空间中计算模糊决策对象的上(下)近似,进而结合经典非确定型决策的思想给出了突发危机事件应急决策的规则。同时,给出了模型的算法。该模型给出了一种在不完全信息环境下应急决策的方法,给出了在充分考虑决策者个人偏好信息基础上的决策置信度以及最优决策规则。该方法能够比较充分地符合应急决策信息不充分、资源有限以及时间紧迫的基本特征,进而对突发危机事件应急决策提供科学的理论基础和现实的决策方法。最后,通过应用算例说明了模型的应用过程,结果验证了本文给出模型的有效性。
以突髮危機事件應急決策為應用揹景,討論瞭雙論域上模糊粗糙集的基本理論,建立瞭基于模糊相容關繫的雙論域模糊粗糙集模型。在此基礎上,把突髮危機事件應急決策轉化為一箇具有模糊決策對象的雙論域決策近似空間上的粗糙近似問題,構建瞭基于雙論域模糊粗糙集的應急決策模型。首先在雙論域近似空間中計算模糊決策對象的上(下)近似,進而結閤經典非確定型決策的思想給齣瞭突髮危機事件應急決策的規則。同時,給齣瞭模型的算法。該模型給齣瞭一種在不完全信息環境下應急決策的方法,給齣瞭在充分攷慮決策者箇人偏好信息基礎上的決策置信度以及最優決策規則。該方法能夠比較充分地符閤應急決策信息不充分、資源有限以及時間緊迫的基本特徵,進而對突髮危機事件應急決策提供科學的理論基礎和現實的決策方法。最後,通過應用算例說明瞭模型的應用過程,結果驗證瞭本文給齣模型的有效性。
이돌발위궤사건응급결책위응용배경,토론료쌍론역상모호조조집적기본이론,건립료기우모호상용관계적쌍론역모호조조집모형。재차기출상,파돌발위궤사건응급결책전화위일개구유모호결책대상적쌍론역결책근사공간상적조조근사문제,구건료기우쌍론역모호조조집적응급결책모형。수선재쌍론역근사공간중계산모호결책대상적상(하)근사,진이결합경전비학정형결책적사상급출료돌발위궤사건응급결책적규칙。동시,급출료모형적산법。해모형급출료일충재불완전신식배경하응급결책적방법,급출료재충분고필결책자개인편호신식기출상적결책치신도이급최우결책규칙。해방법능구비교충분지부합응급결책신식불충분、자원유한이급시간긴박적기본특정,진이대돌발위궤사건응급결책제공과학적이론기출화현실적결책방법。최후,통과응용산례설명료모형적응용과정,결과험증료본문급출모형적유효성。
In this paper , we discuss the theory of fuzzy rough set over two universes with the background of emer -gency decision-making.Then we define a fuzzy rough set model based on fuzzy compatible relation over two uni-verses.By the theory of fuzzy rough set over two universes , the emergency decision-making changes into a rough approximation of a fuzzy decision object on the decision approximation space over two universes .So , we construct the model of emergency decision making based on fuzzy rough set over two universes .We first compute the lower ( upper ) approximation of the fuzzy decision object with respect to the approximation space over two universes , and then present the decision rules by combing the idea of uncertainty decision-making.Moreover, the algorithm of the model is given .This model gives a kind of decision approach to emergency decision-making under the con-dition of incomplete information .Furthermore , it also gives the optimal decision rules with the confidence coeffi-cient by considering the preference of the decision-makers.The proposed method could give a properly descrip-tive of the characters for the emergency decision making with incomplete information , limited recourses of humans and materials and urgently time .Therefore , it can provide a basic theory and a decision approach in practice for emergency decision-making.Finally, the validity of the approach and the applied process is tested by a numeri-cal example .