计算机工程与应用
計算機工程與應用
계산궤공정여응용
COMPUTER ENGINEERING AND APPLICATIONS
2015年
17期
53-58
,共6页
多属性决策%犹豫模糊集%Einstein运算%几何平均集结算子
多屬性決策%猶豫模糊集%Einstein運算%幾何平均集結算子
다속성결책%유예모호집%Einstein운산%궤하평균집결산자
multi-attribute group decision making%hesitant fuzzy sets%Einstein operations%geometric averaging aggrega-tion operators
研究了属性权重信息已知条件下的犹豫模糊信息集结算子及其在多属性群决策问题中的应用。基于Einstein运算定义了犹豫模糊Einstein和、犹豫模糊Einstein积以及犹豫模糊Einstein幂运算,并且研究了犹豫模糊Einstein运算法则间的关系。提出了四种犹豫模糊信息集结算子,即犹豫模糊Einstein加权几何(HFEWG)算子、犹豫模糊Einstein有序加权几何(HFEOWG)算子、犹豫模糊Einstein混合几何(HFEHG)算子和犹豫模糊Einstein诱导有序加权几何(HFEIOWG)算子,并分析了这些算子的性质。给出了基于HFEIOWG算子的犹豫模糊多属性决策方法,并结合投资公司对金融产品的选择来验证提出的决策方法是可行有效的。
研究瞭屬性權重信息已知條件下的猶豫模糊信息集結算子及其在多屬性群決策問題中的應用。基于Einstein運算定義瞭猶豫模糊Einstein和、猶豫模糊Einstein積以及猶豫模糊Einstein冪運算,併且研究瞭猶豫模糊Einstein運算法則間的關繫。提齣瞭四種猶豫模糊信息集結算子,即猶豫模糊Einstein加權幾何(HFEWG)算子、猶豫模糊Einstein有序加權幾何(HFEOWG)算子、猶豫模糊Einstein混閤幾何(HFEHG)算子和猶豫模糊Einstein誘導有序加權幾何(HFEIOWG)算子,併分析瞭這些算子的性質。給齣瞭基于HFEIOWG算子的猶豫模糊多屬性決策方法,併結閤投資公司對金融產品的選擇來驗證提齣的決策方法是可行有效的。
연구료속성권중신식이지조건하적유예모호신식집결산자급기재다속성군결책문제중적응용。기우Einstein운산정의료유예모호Einstein화、유예모호Einstein적이급유예모호Einstein멱운산,병차연구료유예모호Einstein운산법칙간적관계。제출료사충유예모호신식집결산자,즉유예모호Einstein가권궤하(HFEWG)산자、유예모호Einstein유서가권궤하(HFEOWG)산자、유예모호Einstein혼합궤하(HFEHG)산자화유예모호Einstein유도유서가권궤하(HFEIOWG)산자,병분석료저사산자적성질。급출료기우HFEIOWG산자적유예모호다속성결책방법,병결합투자공사대금융산품적선택래험증제출적결책방법시가행유효적。
In this paper, it investigates the hesitant fuzzy information aggregation operators and their application to multi-attribute group decision making with the condition of attribute weight information completely known. The hesitant fuzzy Einstein sum, hesitant fuzzy Einstein product and hesitant fuzzy Einstein exponentiation are defined and it analyzes some relations of these operations. Four new kinds of hesitant fuzzy aggregation operators are proposed, such as the Hesitant Fuzzy Einstein Weighted Geometric(HFEWG)operator, Hesitant Fuzzy Einstein Ordered Weighted Geometric(HFEOWG) operator, Hesitant Fuzzy Einstein Hybrid Geometric(HFEHG)operator and Hesitant Fuzzy Einstein Induced Ordered Weighted Geometric (HFEIOWG) operator, whose desirable properties are studied in detail. An approach to hesitant fuzzy multi-attribute group decision making based on the HFEIOWG operator is developed, and it applies the developed method to select the financial products and demonstrate its practicality and effectiveness.