基于区间犹豫模糊TOPSIS法的多属性群决策
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摘要
基于区间犹豫模糊元,定义广义区间犹豫模糊元的距离公式,提出区间犹豫模糊逼近理想解排序(IVHF-TOPSIS)法,用于处理属性评价值为区间犹豫模糊元的多属性群决策问题.在权重向量未知的情况下,根据给定的属性评价值和最大化离差度方法确定权重,用IVHF-TOPSIS法得到所有方案的贴进度系数,再结合贴近度系数的大小对所有方案排序并选出最优方案,并将所提方法用于解决某网络企业的仓库选址问题.
In this paper,the distance formulas of generalized interval hesitant fuzzy elements are defined. The IVHF-TOPSIS method is proposed to deal with the multi-attributes group decision problems whose attribute evaluation values are interval hesitation fuzzy elements.Under the condition that the weight vector is unknown,the weights are determined according to the given attribute evaluation value and the maximum deviation degree method. The IVHF-TOPSIS method is used to obtain the schedule progress coefficient of all the plans,and then all the plans are ranked according to the size of the closeness coefficient to choose the best solution. Finally,the method proposed in this paper is used to solve the problem of warehouse location of a network enterprise.
In this paper,the distance formulas of generalized interval hesitant fuzzy elements are defined. The IVHF-TOPSIS method is proposed to deal with the multi-attributes group decision problems whose attribute evaluation values are interval hesitation fuzzy elements.Under the condition that the weight vector is unknown,the weights are determined according to the given attribute evaluation value and the maximum deviation degree method. The IVHF-TOPSIS method is used to obtain the schedule progress coefficient of all the plans,and then all the plans are ranked according to the size of the closeness coefficient to choose the best solution. Finally,the method proposed in this paper is used to solve the problem of warehouse location of a network enterprise.
引文
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[5]ZHOU L G,CHEN H Y,LIU J P. Generalized weighted exponential proportional aggregation operators and their applications to group decision making[J]. Applied Mathematical Modelling,2012,36(9):4365-4384.
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[10]TORRA V,NARUKAWA Y. On hesitant fuzzy sets and decision[C]//Fuzzy Systems,2009. FUZZ-IEEE 2009. IEEE International Conference on. IEEE,2009:1378-1382.
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[12]CHEN N,XU Z,XIA M. Interval-valued hesitant preference relations and their applications to group decision making[J].Knowledge-Based Systems,2013,37:528-540.
[13]HWANG C L,YOON K. Multiple Attributes Decision Making Methods and Applications[M]. Berlin:Springer-Verlag,1981:29-56.
[14]CHEN C T. Extensions of the TOPSIS for group decision-making under fuzzy environment[J]. Fuzzy Sets and Systems,2000,114(1):1-9.
[15]CHEN T Y,TSAO C Y. The interval-valued fuzzy TOPSIS method and experimental analysis[J]. Fuzzy Sets and Systems,2008,159(11):1410-1428.
[16]BORAN F E,GENC S,KURT M,et al. A multi-criteria intuitionistic fuzzy group decision making for supplier selection with TOPSIS method[J]. Expert Systems with Applications,2009,36(8):11363-11368.
[17]YE F. An extended TOPSIS method with interval-valued intuitionistic fuzzy numbers for virtual enterprise partner selection[J].Expert Systems with Applications,2010,37(10):7050-7055.
[18] XU Z,ZHANG X. Hesitant fuzzy multi-attribute decision making based on TOPSIS with incomplete weight information[J].Knowledge-Based Systems,2013,52:53-64.
[19]XU Z,XIA M. On distance and correlation measures of hesitant fuzzy information[J]. International J Intelligent Systems,2011,26(5):410-425.
[2]YU L,LAI K K. A distance-based group decision-making methodology for multi-person multi-criteria emergency decision support[J]. Decision Support Systems,2011,51(2):307-315..
[3]朱建军,张丽丽,梁燕华,等.基于冲突主体不确定证据融合的灰靶决策方法[J].控制与决策,2012,27(7):1037-1041.
[4]PANG J,LIANG J. Evaluation of the results of multi-attribute group decision-making with linguistic information[J]. Omega,2012,40(3):294-301.
[5]ZHOU L G,CHEN H Y,LIU J P. Generalized weighted exponential proportional aggregation operators and their applications to group decision making[J]. Applied Mathematical Modelling,2012,36(9):4365-4384.
[6]ZADEH L A. Fuzzy sets[J]. Information and Control,1965,8(3):338-353.
[7]TURKSEN I B. Interval valued fuzzy sets based on normal forms[J]. Fuzzy Sets and Systems,1986,20(2):191-210.
[8]ATANASSOV K T. Intuitionistic fuzzy sets[J]. Fuzzy Sets and Systems,1986,20(1):87-96.
[9]ATANASSOV K,GARGOV G. Interval valued intuitionistic fuzzy sets[J]. Fuzzy Sets and Systems,1989,31(3):343-349.
[10]TORRA V,NARUKAWA Y. On hesitant fuzzy sets and decision[C]//Fuzzy Systems,2009. FUZZ-IEEE 2009. IEEE International Conference on. IEEE,2009:1378-1382.
[11]TORRA V. Hesitant fuzzy sets[J]. International J Intelligent Systems,2010,25(6):529-539.
[12]CHEN N,XU Z,XIA M. Interval-valued hesitant preference relations and their applications to group decision making[J].Knowledge-Based Systems,2013,37:528-540.
[13]HWANG C L,YOON K. Multiple Attributes Decision Making Methods and Applications[M]. Berlin:Springer-Verlag,1981:29-56.
[14]CHEN C T. Extensions of the TOPSIS for group decision-making under fuzzy environment[J]. Fuzzy Sets and Systems,2000,114(1):1-9.
[15]CHEN T Y,TSAO C Y. The interval-valued fuzzy TOPSIS method and experimental analysis[J]. Fuzzy Sets and Systems,2008,159(11):1410-1428.
[16]BORAN F E,GENC S,KURT M,et al. A multi-criteria intuitionistic fuzzy group decision making for supplier selection with TOPSIS method[J]. Expert Systems with Applications,2009,36(8):11363-11368.
[17]YE F. An extended TOPSIS method with interval-valued intuitionistic fuzzy numbers for virtual enterprise partner selection[J].Expert Systems with Applications,2010,37(10):7050-7055.
[18] XU Z,ZHANG X. Hesitant fuzzy multi-attribute decision making based on TOPSIS with incomplete weight information[J].Knowledge-Based Systems,2013,52:53-64.
[19]XU Z,XIA M. On distance and correlation measures of hesitant fuzzy information[J]. International J Intelligent Systems,2011,26(5):410-425.
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