模式识别与人工智能
模式識彆與人工智能
모식식별여인공지능
Pattern Recognition and Artificial Intelligence
2015年
9期
839-847
,共9页
群决策%犹豫模糊偏好关系%加性一致性%乘性一致性%有序一致性
群決策%猶豫模糊偏好關繫%加性一緻性%乘性一緻性%有序一緻性
군결책%유예모호편호관계%가성일치성%승성일치성%유서일치성
Group Decision%Hesitant Fuzzy Preference Relation%Additive Consistency%Multiplicative Consistency%Order Consistency
针对犹豫模糊环境下的群决策问题,引入犹豫模糊偏好关系的概念,提出犹豫模糊偏好关系加性一致性、乘性一致性和有序一致性定义,建立基于犹豫模糊偏好关系加性一致性和乘性一致性的决策方案优先关系排序方法。该方法对一致性犹豫模糊偏好关系进行有效修复,使修复后的犹豫模糊偏好关系满足加性一致性和乘性一致性,进而构建最优化模型求解方案优先权重。决策过程尽可能多地保留决策者的偏好信息,简化模型复杂度,拓展犹豫模糊理论的应用范围。通过影响雾霾天气的因素实验验证文中决策方法的可行性和有效性。
針對猶豫模糊環境下的群決策問題,引入猶豫模糊偏好關繫的概唸,提齣猶豫模糊偏好關繫加性一緻性、乘性一緻性和有序一緻性定義,建立基于猶豫模糊偏好關繫加性一緻性和乘性一緻性的決策方案優先關繫排序方法。該方法對一緻性猶豫模糊偏好關繫進行有效脩複,使脩複後的猶豫模糊偏好關繫滿足加性一緻性和乘性一緻性,進而構建最優化模型求解方案優先權重。決策過程儘可能多地保留決策者的偏好信息,簡化模型複雜度,拓展猶豫模糊理論的應用範圍。通過影響霧霾天氣的因素實驗驗證文中決策方法的可行性和有效性。
침대유예모호배경하적군결책문제,인입유예모호편호관계적개념,제출유예모호편호관계가성일치성、승성일치성화유서일치성정의,건립기우유예모호편호관계가성일치성화승성일치성적결책방안우선관계배서방법。해방법대일치성유예모호편호관계진행유효수복,사수복후적유예모호편호관계만족가성일치성화승성일치성,진이구건최우화모형구해방안우선권중。결책과정진가능다지보류결책자적편호신식,간화모형복잡도,탁전유예모호이론적응용범위。통과영향무매천기적인소실험험증문중결책방법적가행성화유효성。
Aiming at group decision making problems under hesitant fuzzy environment, the concept of hesitant fuzzy preference relation is introduced. The additive consistency, multiplicative consistency and order consistency of the hesitant fuzzy preference relations are defined. A decision-making method of ranking alternative method is established based on the additive consistency and multiplicative consistency to obtain the priority weights. The consistency of hesitant fuzzy preference relations is improved effectively by the proposed method, and thus the improved preference relations can satisfy the need of additive consistency and multiplicative consistency. The optimization models are further developed to get the priority weight vector of the alternatives. Meanwhile, the preference information of the decision maker is retained in the decision process as much as possible, and the model is simplified. Therefore, the application of the hesitant fuzzy theory is greatly extended. The practicability and the effectiveness of the proposed method are verified through the experiment of affecting factors of fog-haze weather.