兰州大学学报(自然科学版)
蘭州大學學報(自然科學版)
란주대학학보(자연과학판)
JOURNAL OF LANZHOU UNIVERSITY(NATURAL SCIENCES)
2012年
6期
105-113
,共9页
直觉模糊集%信息集成算子%多属性决策
直覺模糊集%信息集成算子%多屬性決策
직각모호집%신식집성산자%다속성결책
intuitionistic fuzzy set%information data aggregation operator%multi-attribute decision-making
对于属性权重、位置权重以及属性赋值均为直觉模糊数的信息系统,注意到信息系统中属性数目比较少的情况下,数据自身的重要性程度对集成算子影响较大的特点,借助于本文提出的直觉模糊集上的广义加法和乘法,提出了属性权重、位置权重以及属性赋值均为直觉模糊数的信息集成算子,推广和总结了前人的结果.同时,对于数据信息表现为连续区间的数据集成,构建了组合连续区间数据的广义有序加权平均算子及其转换方法,并讨论了其性质.所得结果可直接应用到不确定多属性决策问题的讨论,最后给出了算例.
對于屬性權重、位置權重以及屬性賦值均為直覺模糊數的信息繫統,註意到信息繫統中屬性數目比較少的情況下,數據自身的重要性程度對集成算子影響較大的特點,藉助于本文提齣的直覺模糊集上的廣義加法和乘法,提齣瞭屬性權重、位置權重以及屬性賦值均為直覺模糊數的信息集成算子,推廣和總結瞭前人的結果.同時,對于數據信息錶現為連續區間的數據集成,構建瞭組閤連續區間數據的廣義有序加權平均算子及其轉換方法,併討論瞭其性質.所得結果可直接應用到不確定多屬性決策問題的討論,最後給齣瞭算例.
대우속성권중、위치권중이급속성부치균위직각모호수적신식계통,주의도신식계통중속성수목비교소적정황하,수거자신적중요성정도대집성산자영향교대적특점,차조우본문제출적직각모호집상적엄의가법화승법,제출료속성권중、위치권중이급속성부치균위직각모호수적신식집성산자,추엄화총결료전인적결과.동시,대우수거신식표현위련속구간적수거집성,구건료조합련속구간수거적엄의유서가권평균산자급기전환방법,병토론료기성질.소득결과가직접응용도불학정다속성결책문제적토론,최후급출료산례.
The importance of the data and their positions were considered and, by means of the generalized addition and multiplication proposed, the data aggregation operators for the information system were put for-ward, which characterized the weight, the weight of the operator and the information valued as all intuitionistic fuzzy numbers. The obtained results prove to be a promotion and generalization of the previous approaches. Furthermore, the continuous generalized ordered and weighted averaging operator for the information system was used to value the interval-valued intuitionistic fuzzy numbers and their transferred theorems. The results could be used to solve uncertain multi-attribute decision-making problems. Finally, two illustrative examples were also given.