对方案有偏好的区间直觉模糊多属性决策方法

Abstract

Abstract: With respect to interval-valued intuitionistic fuzzy multiple attribute decision making problems with preference information on alternatives and incomplete weight information,some operational laws of interval-valued intuitionistic fuzzy numbers,score function and accuracy function of interval-valued intuitionistic fuzzy numbers are introduced.An optimization model based on the minimizing deviation method,by which the attribute weights can be determined,is established.For the special situations where the information about attribute weights is completely unknown,another optimization model is established.By solving this model,a simple and exact formula can be used to determine the attribute weights.Then,the interval-valued intuitionistic fuzzy weighted averaging(IIFWA) operator is utilized to aggregate the interval-valued intuitionistic fuzzy information corresponding to each alternative.Based on the the score function and accuracy function of the interval-valued intuitionistic fuzzy number,a method for ranking the alternatives and selecting the most desirable one(s) is presented.Finally,an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.

CLC Number:

C934

WEI Gui-wu. Method for interval-valued intuitionistic fuzzy multiple attribute decision making with preference information on alternatives[J]. Journal of Systems Engineering and Electronics, 2009, 31(01): 116-120.

References

[1] Zadeh L A.Fuzzy sets[J].Informationand Control,1965,8:338-356.
[2] Atanassov K.Intuitionistic fuzzy sets[J].Fuzzy Sets and Systems,1986,20:87-96.
[3] Atanassov K.More on intuitionistic fuzzy sets[J].Fuzzy Sets and Systems,1989,33:37-46.
[4] Gnu W L,Buehrer D J.Vague sets[J].IEEE Transactions on Systems,Manand Cybernetics,1993,23 (2):610-614.
[5] Bustine H,Burillo P.Vague sets are intuitionistic fuzzy sets[J].Fuzzy Sets and Systems,1996,79:403-405.
[6] Xu Z S,Yager R R.Some geometric aggregation operators based on intuitionistic fuzzy sets[J].International Journal of General System,2006,35(4):417-433.
[7] Xu Z S.Intuitionistic preference relations and their application in group decision making[J].Information Science,2007,177 (11):2363-2379.
[8] Xu Z S.Intuitionistic fuzzy aggregation operators[J].IEEE Transactions on Fuzzy Systems,2007,15(6):1179-1187.
[9] Atanassov K,Gargov G.Interval-valued intuitionistic fuzzy sets[J].Fuzzy Sets and Systems,1989,31 (3):343-349.
[10] Atanassov K.Operators over interval-valued intuitionistic fuzzy sets[J].Fuzzy Sets and Systems,1994,64 (2):159-174.
[11] 徐泽水.区间直觉模糊信息的集成方法及其在决策中的应用[J].控制与决策,2007,22(2):215-219.
[12] 徐泽水,陈剑.一种基于区间直觉判断矩阵的群决策方法[J].系统工程理论与实践,2007,27(4):126-133.
[13] Xu Z S.Models for multiple attribute decision-making with intuitionistic fuzzy information[J].International Journal of Uncertainty,Fuzziness and Knowledge-Based Systems,2007,15 (3):285-297.
[14] 王坚强.信息不完全确定的多准则区间直觉模糊决策方法[J].控制与决策,2006,21(11):1253-1256,1263.
[15] 戴跃强,徐泽水,达庆利.基于不同直觉偏好结构的多属性决策方法[J].东南大学学报(自然科学版),2007,37(4):706-710.
[16] Lee K S,Park K S,Eum Y S,et al.Extended methods for identifying dominance and potential optimality in muhicriteria analysis with imprecise information[J].European Journal of Operational Research,2001,134(3):557-563.
[17] Kim S H,Han C H.An interactive procedure for multiple attribute group decision making procedure with incomplete information[J].Computers ＆ Operational Research,1999,26(8):755-772.
[18] Xu zeshui.On similarity measures of interval-valued intuitionistic fuzzy sets and their application to pattern regcgnitions[J].Journal of Southeast University (English Edition),2007,23 (1):139-143.
[19] Chen S M,Tan J M.Handling muhicriteria fuzzy decisionmaking problems based on vague set theory[J].Fuzzy Sets and Systems,1994,67:163-7-172.
[20] Hong D H,Choi C H.Muhicriteria fuzzy problems based on vague set theory[J].Fuzzy Sets and Systems,2000,114:103-113.
[21] Li D F.Muhiattribute decision making models and methods using intuitionistie fuzzy sets[J].Journal of computer and System Sciences,2005,70:73-85.
[22] 林琳,袁学海,夏尊铨.基于直觉模糊集的多准则模糊决策问题[J].数学的实践与认识,2007,37(5):78-82.
[23] Lin L,Yuan X H,Xia Z Q.Muhicriteria fuzzy decision-making methods based on intuitionistie fuzzy sets[J].Journal of Computer and System Sciences,2007,73:84-88.
[24] Herrera F,Herrera-Viedma E.Linguistic decision analysis:steps for solving decision problems under linguistic information[J].Fuzzy Sets and Systems,2000,115:67-82.

Method for interval-valued intuitionistic fuzzy multiple attribute decision making with preference information on alternatives

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