# [1]徐泽水.一种不确定型OWA算子及其在群决策中的应用[J].东南大学学报(自然科学版),2002,32(1):147-150.[doi:10.3969/j.issn.1001-0505.2002.01.033] 　Xu Zeshui.Uncertain ordered weighted averaging(OWA)operator and its application to group decision making[J].Journal of Southeast University (Natural Science Edition),2002,32(1):147-150.[doi:10.3969/j.issn.1001-0505.2002.01.033] 点击复制 一种不确定型OWA算子及其在群决策中的应用() 分享到： var jiathis_config = { data_track_clickback: true };

32

2002年第1期

147-150

2002-01-20

## 文章信息/Info

Title:
Uncertain ordered weighted averaging(OWA)operator and its application to group decision making

Author(s):
Xu Zeshui
College of Economics and Management, Southeast University, Nanjing 210096, China

Keywords:

C934
DOI:
10.3969/j.issn.1001-0505.2002.01.033

Abstract:
This paper extends the ordered weighted averaging(OWA)operator of Yager to accommodate uncertain conditions where all input arguments take the forms of interval numbers. Firstly, the possibility degree formula for the comparison between interval numbers is introduced. Then, based on the formula and the priority method of fuzzy preference matrix(i.e., fuzzy complementary judgement matrix), an uncertain OWA operator and its application procedures are proposed, and a method based on the uncertain OWA operator for aggregating information in group decision-making is presented. Finally, a numerical example is given to show the feasibility and effectiveness of the method.

## 参考文献/References:

[1] Yager R R.On ordered weighted averaging aggregation operators in multicriteria decisionmaking [J].IEEE Transactions on Systems Man and Cybernetics,1988,18:183-190.
[2] Yager R R.Applications and extensions of OWA aggregation [J].International Journal of Man-Machine Studies,1992,37:103-132.
[3] Yager R R.Families of OWA operators [J].Fuzzy Sets and Systems,1993,59:125-148.
[4] Filev D,Yager R R.Analytic properties of maximum entropy OWA operators [J].Information Science,1995,85:11-27.
[5] Yager R R,Filev D P.Parametrized “andlike” and “orlike” OWA operators [J].International Journal of General Systems,1994,22:297-316.
[6] Fodor J,Marichal J L,Roubens M.Characterization of the ordered weighted averaging operators [J]. IEEE Transactions on Fuzzy Systems, 1995,3:236-240.
[7] Torra V.The weighted OWA operator [J].International Journal of Intelligent Systems, 1997,12:153-166.
[8] Filev D,Yager R R.On the issue of obtaining OWA operator weights [J].Fuzzy Sets and Systems,1998,94:157-169.
[9] Yager R R,Kacprzyk J.The ordered weighted averaging operator:theory and applications [M].Boston,MA:Kluwer Academic Publishers,1997.10-50.
[10] Facchinetti G,Ricci R G,Muzzioli S.Note on ranking fuzzy triangular numbers [J].International Journal of Intelligent Systems,1998,13:613-622.
[11] Herrera F,Herrera-Viedma E,Chiclana F.Multiperson decision-making based on multiplicative preference relations [J].European Journal of Operational Research, 2001,129:372-385.
[12] 徐泽水.模糊互补判断矩阵排序的一种算法 [J].系统工程学报,2001,16(4):311-314.
Xu Zeshui.Algorithm for priorities of fuzzy complementary judgement matrices [J]. Journal of Systems Eegineering, 2001,16(4):311- 314.(in Chinese)

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