山东大学学报(工学版)
山東大學學報(工學版)
산동대학학보(공학판)
JOURNAL OF SHANDONG UNIVERSITY(ENGINEERING SCIENCE)
2014年
4期
11-17
,共7页
刘晶%裴峥%周斌
劉晶%裴崢%週斌
류정%배쟁%주빈
模糊评价语言值%多属性决策%模糊多属性语言决策%预序关系%等价关系
模糊評價語言值%多屬性決策%模糊多屬性語言決策%預序關繫%等價關繫
모호평개어언치%다속성결책%모호다속성어언결책%예서관계%등개관계
fuzzy evaluating linguistic values%multi-criteria decision-making%fuzzy multi-criteria linguistic decision-making%pre-order relation%equivalence relation
提出一种基于等价关系的模糊评价语言值排序方法,分析该排序方法的相关性质,证明了该排序方法确保模糊评价语言值之间的序关系是一种线性序关系,从而保证模糊多属性语言决策最优解的唯一性。实例分析表明,本研究提出的排序方法能够克服已有预序关系带来的不足,是一种可选的模糊多属性语言决策方法。
提齣一種基于等價關繫的模糊評價語言值排序方法,分析該排序方法的相關性質,證明瞭該排序方法確保模糊評價語言值之間的序關繫是一種線性序關繫,從而保證模糊多屬性語言決策最優解的唯一性。實例分析錶明,本研究提齣的排序方法能夠剋服已有預序關繫帶來的不足,是一種可選的模糊多屬性語言決策方法。
제출일충기우등개관계적모호평개어언치배서방법,분석해배서방법적상관성질,증명료해배서방법학보모호평개어언치지간적서관계시일충선성서관계,종이보증모호다속성어언결책최우해적유일성。실례분석표명,본연구제출적배서방법능구극복이유예서관계대래적불족,시일충가선적모호다속성어언결책방법。
An ordering method of fuzzy evaluating linguistic values based on equivalence relation was proposed, and its properties were analyzed.It was proved that the ordering method could make a linear ordering among fuzzy evaluating linguistic values, which meaned that the ordering method could provide the unique optimal solution of fuzzy multi-crite-ria linguistic decision-making.Example analysis showed that the proposed method could be used to avoid the drawback of pre-order relation, which could be an alternative method of fuzzy multi-criteria linguistic decision-making method.