Abstract The purpose of this paper is to introduce the structured element theory into fuzzy multiattribute decision making, and to simplify the complex operations of traditional fuzzy decision making. The compromised group decision making method is one of the most commonly methods in classical multiattribute group decision making. According to the principle of this method , two kinds of fuzzy compromised group decision making methods based on the structured element theory are put forward. The decision making is carried out by using the example from Transformation Group of Monotone Functions with Same Monotonic Formal on [-1,1] and Operations of Fuzzy Numbers by Sizong Guo. Finally, the proposed methods are compared with the traditional decision making methods. The proposed methods have a reference value to the fuzzy multiattribute group decision making problems.
[1] Bass S M, Kwakernaak H. Rating and Ranking of Multiple Aspect Alternatives Using Fuzzy Sets. Automatica, 1977, 13(1): 4758 [2] Kwakernaak H. An Algorithm for Rating Multiple Aspect Alternatives Using Fuzzy Sets. Automatica, 1979, 15(5): 615616 [3] Dubois D, Prade H. Comment on Tolerance Analysis Using Fuzzy Sets and a Procedure for Multiple Aspect Decision Making. International Journal of System Science, 1978, 9(3): 357360 [4] Dubois D, Prade H. Criteria Aggregation and Ranking of Alternatives in the Framework of Fuzzy Set Theory. Fuzzy Sets and Decision Analysis, 1984, 20(2): 209240 [5] Dubois D, Prade H. A Review of Fuzzy Set Aggregation Connectives. Information Science, 1995, 36(1/2): 85121 [6] Bonissone P P. A Pattern Recognition Approach to the Problem of Linguistic Approximation in System Analysis // Proc of the IEEE International Conference on Cybernetics and Society. New York, USA: IEEE Press, 1979: 793798 [7] Guo Sizong. Method of Structuring Element in Fuzzy Analysis (Ⅰ). Journal of Liaoning Technical University: Natural Science Edition, 2002, 21(5): 670673 (in Chinese) (郭嗣琮.模糊分析中的结构元方法(Ⅰ).辽宁工程技术大学学报:自然科学版, 2002, 21(5): 670673) [8] Guo Sizong. Method of Structuring Element in Fuzzy Analysis (Ⅱ). Journal of Liaoning Technical University: Natural Science Edition, 2002, 21(6): 808810 (in Chinese) (郭嗣琮.模糊分析中的结构元方法(Ⅱ).辽宁工程技术大学学报:自然科学版, 2002, 21(6): 808810) [9] Guo Sizong. Homeomorphic Property between Fuzzy Number Space and Family of Standard Bounded Monotone Function. Progress in Natural Science, 2004, 14(11): 13181321 (in Chinese) (郭嗣琮.模糊实数空间与[-1,1]上同序单调函数类的同胚.自然科学进展,2004, 14(11): 13181321) [10] Guo Sizong. Commonly Express Method of FuzzyValued Function Based on Structured Element. Fuzzy Systems and Mathematics, 2005, 19(1): 8286 (in Chinese) (郭嗣琮.基于结构元的模糊值函数的一般表示方法.模糊系统与数学, 2005, 19(1): 8286) [11] Guo Sizong. Transformation Group of Monotone Functions with Same Monotonic Formal on [1,1] and Operations of Fuzzy Numbers. Fuzzy Systems and Mathematics, 2005, 19(3): 105110 (in Chinese) (郭嗣琮.[-1,1]上同序单调函数的同序变换群与模糊数运算.模糊系统与数学, 2005, 19(3): 105110) [12] Li Rongjun. Theory and Application of Fuzzy Multiple Criteria Decision Making. Beijing, China: Science Press, 2002 (in Chinese) (李荣钧.模糊多准则决策理论与应用.北京:科学出版社, 2002)
2007, Vol. 20 
