Study On Theories And Application Of Multiobject Fuzzy Pattern Recognition Decision Making

Complex systems decision theory is one of the heading fields in the research of system science, and randomness and fuzziness are the main behaving forms of uncertainties existed in complex systems. Fuzzy set theory offers crucial theory and methodology for decision making science. The research status of complex systems decision making is generalized first, then the principle and development of engineering fuzzy set theory proposed by Professor Chen Shouyu is briefly reviewed. With the background of complex water resources systems optimization and decision and on the basis of engineering fuzzy set theory, multiobjective fuzzy recognition, optimization and decision theory for complex systems and applications are investigated, and the main research results are listed, as followed.(1) Founded upon the cross iterative clustering fuzzy algorithm (CIFCA) proposed by Professor Chen Shouyu, a CIFCA algorithm, with the consideration of the weights of the objects to clustered attributed to different clusters, is presented first, which tries to avoid the clustering uncertainties produced by the fuzzy weighted parameter in the FCM algorithm. With hyperspherical clustering results, it can partition different distribution type data with fine clustering results. Then, three equivalent clustering algorithms are provided for the dataset with fragmentary samples, which decreases the influence of incomplete data on clustering. At last, a semi-supervised cross iterative fuzzy clustering algorithm, with the integration of transcendental knowledge into clustering, is proposed, which can effectively handle the weakness of unsupervised fuzzy recognition.(2) Semi-structural decision making is a difficulty of multiobjective decision making. The pairwise comparison provided by the decision makers is frequently inconsistent, and the reliability of each judgment is different. Based on engineering fuzzy set element system decision making theory and the preference matrix constructed through two steps, the objective weights and schema's superiority are determined via the method of the least squared errors with the consideration of the reliability of decision makers' judgment. Within the acceptable range of incomplete pairwise comparison, the proposed model can specify the objective weights and schema's superiority under the condition of incomplete judgment information, and the conditions, which can simply judge incomplete fuzzy preference matrix acceptable or not, are given. A fuzzy recognition model is constructed, which can effectively integrate subjective and objective weights and promote the precision of the weight assessment.(3) On the basis of the fuzzy pattern recognition model proposed by Professor ChenShouyu,, a integrated multiobjective decision making model with incomplete decision making information is established, which can handle different kinds of decision making environment, such as incomplete weights, incomplete ranking standards incomplete judgment of the scheme set, incomplete objectives of the scheme set, etc. Experimental analysis shows that this model has a feature of clear physical concept and simple application.(4) The abundance degree of basin water resources is a significant index in the establishment of sustainable development planning, and the weight assessment is one of the key problems in the evaluation of the abundance degree of water resources. Grounded upon the fuzzy pattern recognition model, under the supervision of experts' experience and knowledge, a supervised fuzzy pattern recognition model, which can simultaneously determine the objective weights and the abundance degree of basin water resources, is presented, and has a satisfactory result in the evaluation of the abundance degree of Liaoxi basin water resources.(5) With the intelligence of a group of decision makers, group decision making is a effective method for complex systems decision making problems. The method for effectively integrating the preference of each decision maker into the group preference is a hotspot in the research of gro...