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Articles by Xiangqian Feng
Total Records ( 2 ) for Xiangqian Feng
  Hai Wang , Gang Qian and Xiangqian Feng
  With regard to multi Criteria Decision Making (MCDM) problems, performances of the Analytical Hierarchy Process (AHP) are prominent. Fuzzy AHP, an extension of AHP, serves as a grateful approach due to its outstanding advantage when dealing with uncertainties. Based on advantages of Intuitionistic Fuzzy Sets (IFSs) in expressing information of preferences, this study presents an intuitionistic fuzzy AHP (IF-AHP) approach. The proposed IF-AHP synthesizes eigenvectors of Intuitionistic Fuzzy Comparison Matrix (IFCM) in which all the information for decision are represented by Intuitionistic Fuzzy Values (IFVs). The IF-AHP approach enables to handle MCDM problems without loss of information or defuzzification and represent arbitrary hesitation in interval [0, 1]. Firstly, Intuitionistic Fuzzy (IF) matrix and IFCM associated with its consistency and satisfactory consistency are defined after some relative basal knowledge are introduced. Secondly, the eigenvector and eigenvalue of IFCM is defined and a linear program model is presented to obtain it as the priority of relative criteria. Furthermore, methods for comparisons of IFVs are proposed in order to rank alternatives utilizing eigenvectors. And then, a integrate procedure of IF-AHP involving comparison and rating is presented and illustrated by two applied examples cited from literatures. An involved decision support system can be setup according to the procedure. Comparing with some existing methods, the proposed approach gives both rational global priorities and robust final decision.
  Xiangqian Feng , Xiaohua Qian and Qiang Wu
  A new method to solve multi-attribute decision making problem with Intuitionistic Fuzzy (IF) information is given here. This method is based on the Dempster Shafer-Analytical Hierarchy Process (DS-AHP) theory. The DS-AHP theory can solve a problem directly based on the decision matrix which is different from most of current methods. But in reality, the decision maker may provide several types of uncertain information such as fuzzy or interval values. So, the original DS-AHP method is combined with the IF information here. The expected utility is used to transform decision matrix with intuitionistic fuzzy information which is obtained from assessment. And then a non-linear optimization model is used to combine all the attributes. Using the combined results, the rank of the alternatives can be finally got. At the end of the paper a numerical example is studied to illustrate the details.
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