区间直觉模糊连续交叉熵及其多属性决策方法.pdf

网络出版时间：2013-03-21 09:39 网络出版地址：/kcms/detail/11.2127.TP0939.004.html Computer Engineering and Applications LI Xiangying 250014 College of Information Engineering, Shandong Youth University of Political Science, Jinan, Shandong, 250014, China LI Xiangying. Interval-valued intuitionistic fuzzy continuous cross-entropy and its application in multi-attribute decision-making. Computer Engineering and Applications Abstract: We first present the concept of the interval-valued intuitionistic fuzzy continuous cross-entropy under the interval-valued intuitionistic fuzzy environment, which is based on the COWA operator. Secondly, the continuous cross-entropy distance between two interval-valued intuitionistic fuzzy values is proposed by using the concept of the interval-valued intuitionistic fuzzy continuous cross-entropy. Then, we obtain the weighted distance degree values between every altern ative and ideal alternative depending on the technique for order preference by similarity to an ideal solution (TOPSIS) method, and calculate the relative closeness for each alternative with respect to ideal alternative. Finally, we can select the best alternative in accordance with the relative closeness. On the one hand, a programming model based on the principle of maximum cross-entropy is proposed to calculate the attribute weights aiming at the decision making problem with binding attribute weight conditions. On the other hand, we develop a method to obtain the attribute weights accordance with the cross-entropy theory, aiming at the information about attribute weights is completely unknown. A practical example shows the feasibility and va lidity of the proposed decision making method. Key words: interval-valued intuiti