系统工程理论与实践
繫統工程理論與實踐
계통공정이론여실천
Systems Engineering—Theory & Practice
2014年
10期
2637~2644
,共null页
犹豫模糊集 双向投影 Jaynes最大熵
猶豫模糊集 雙嚮投影 Jaynes最大熵
유예모호집 쌍향투영 Jaynes최대적
hesitant fuzzy set; bidirectional projection; Jaynes＇ maximum entropy
研究了面向犹豫模糊信息的投影决策方法．定义了犹豫模糊信息下，方案和正、负理想点形成的向量表达方式，建立了针对犹豫模糊信息的向量投影测度方法；提出了基于正负理想点的贴近度测算公式；构建了基于Jaynes最大熵原理和方案公平竞争下的属性权重确定模型．算例说明方法的有效性和可行性．
研究瞭麵嚮猶豫模糊信息的投影決策方法．定義瞭猶豫模糊信息下，方案和正、負理想點形成的嚮量錶達方式，建立瞭針對猶豫模糊信息的嚮量投影測度方法；提齣瞭基于正負理想點的貼近度測算公式；構建瞭基于Jaynes最大熵原理和方案公平競爭下的屬性權重確定模型．算例說明方法的有效性和可行性．
연구료면향유예모호신식적투영결책방법．정의료유예모호신식하，방안화정、부이상점형성적향량표체방식，건립료침대유예모호신식적향량투영측도방법；제출료기우정부이상점적첩근도측산공식；구건료기우Jaynes최대적원리화방안공평경쟁하적속성권중학정모형．산례설명방법적유효성화가행성．
The hesitant fuzzy projection method is studied. The vectors of alternative, positive and negative ideal point are defined. A projection measure method is proposed, in which the attribute values are in the form of hesitant fuzzy set. A new relative closeness degree formula based on positive and negative ideal point is presented. By Jaynes＇ maximum entropy principle and alternatives＇ fair competition, a mathematical model is constructed to obtain the attribute weights. In the last, a nmnerieal example is given to verify the effectivity and feasibility of the proposed method.
