基于I-IOWG算子集结的组合判断矩阵的相容性和一致性

Abstract

Abstract: On the basis of considering the degree of importance of decision-making experts,the new importance based ordered weighting geometric(I-IOWG) averaging operators are proposed.They are applied to aggregate the judgment matrices information provided by the experts.It is proved that the combination judgment matrices aggregated by I-IOWG operator keep the reciprocal property.The compatibility,satisfactory compatibility and relations between compatibility and consistency of the combination judgment matrices based on I-IOWG operators are studied.Under the condition that each judgment matrix has the satisfactory compatibility with corresponding characteristic matrix,the property that the combination judgment matrix can keep the satisfactory compatibility is given.It shows that it is scientific and feasible to apply the I-IOWG operators to aggregate information in the group decision-making.

CLC Number:

O223

CHEN Hua-you, CHEN Cheng. Research on compatibility and consistency of combination judgment matrices based on I-IOWG operators[J]. Journal of Systems Engineering and Electronics, 2009, 31(9): 2137-2140.

References

[1] Yager R R.On ordered weighted averaging aggregation operators in muhicriteria decisionmaking[J].IEEE Trans.on Systems,Man,and Cybernetics,1988,18:183 -190.
[2] Yager R R.Families of OWA operators[J].Fuzzy Sets and Systems,1993,59 ; 125-148.
[3] Yager R R.Induced aggregation operators[J].Fuzzy Sets and Systems,2003,137:59-69.
[4] 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.
[5] 樊治平,姜艳萍.基于OWG箅子的不同形式偏好信息的群决策方法[J].管理科学学报,2003,6(1):32-36.
[6] 王欣荣,樊治平.一种具有不同形式偏好信息的群决策方法[J].东北大学学报(自然科学版),2003,24(2):178-181.
[7] 徐泽水.多属性决策中四类偏好信息的一种集成途径[J].系统工程理论与实践,2002,22(11):117-120.
[8] Saaty T L.The analytic hierarchy process[M].New York:McGraw Hill,1980.
[9] Chielana F,Herrera F,Herrera-Viedma E,et al.A note on the reciprocity in the aggregation of fuzzy preference relations using OWA operators[J].Fuzzy Sets and Systems,2003,137(1):71-83.
[10] 徐泽水.综合判断矩阵的一致性及特征值问题研究[J].系统工程学报.2000,15(3):258-261.
[11] 王莲芬.相容性与群组决策[J].系统工程理论与实践,2000,20(2):92-96.
[12] 陈华友,刘春林.组合判断矩阵的相容性与一致性关系[J].系统工程理论方法应用,2004,13(4):377-380.
[13] Chiclana F,Herrera-viedma E,Herrea F,et al.Some induced ordered weighted averaging operators and their use for solving group decision-maklng problems based on fuzzy preference relations[J].European Journal of Operational Research,2007,182(1):383-399.
[14] 陈华友.组合预测方法有效性理论及其应用[M].北京:科学出版社,2008:155-168.
[15] Yager R R.OWA aggregation over a continuous interval argument with applications to decision making[J].IEEE Trans.on Systems,Man,and Cybernetics,Part B,2004,34:1952-1963.
[16] Xu Z S.Deviation measures of linguistic preference relations in group decision making[J].The International Journal of Management Science,2005,33(3):249-254.
[17] Xu Z S,Wei C P.A consistency improving method in the analytic hierarchy process[J].European Journal of Operational Research,1999,116(2):443-449.

Research on compatibility and consistency of combination judgment matrices based on I-IOWG operators

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 5

Recommended Articles

Metrics

Comments

[1]	LIU Xiu-mei, ZHAO Ke-qin, WANG Chuan-bin. New multiple attribute decision-making model with triangular fuzzy numbers based on connection numbers [J]. Journal of Systems Engineering and Electronics, 2009, 31(10): 2399-2403.
[2]	LIU Pei-de, GUAN Zhong-liang. Research on multiple attribute decision-making under risk with continuous random variable and weight unknown [J]. Journal of Systems Engineering and Electronics, 2009, 31(9): 2133-2136,2150.
[3]	LIU Kai-di, PANG Yan-jun, SUI Hui-qiang. New method of reliability evaluation on inertial navigation system simulation [J]. Journal of Systems Engineering and Electronics, 2009, 31(6): 1492-1495.
[4]	WANG Chun, ZHAO Chuan-li. Scheduling problems with learning effect and availability constraint [J]. Journal of Systems Engineering and Electronics, 2009, 31(6): 1372-1375.
[5]	WANG Xin-fan, YANG Xiao-juan. Uncertain multiple attribute decision making method based on FV-OWA operator [J]. Journal of Systems Engineering and Electronics, 2009, 31(2): 380-383.