The class of multiple attribute decision making （MADM） problems is studied, where the attribute values are intuitionistic fuzzy numbers, and the information about attribute weights is completely unknown. A score fun...The class of multiple attribute decision making （MADM） problems is studied, where the attribute values are intuitionistic fuzzy numbers, and the information about attribute weights is completely unknown. A score function is first used to calculate the score of each attribute value and a score matrix is constructed, and then it is transformed into a normalized score matrix. Based on the normalized score matrix, an entropy-based procedure is proposed to derive attribute weights. Furthermore, the additive weighted averaging operator is utilized to fuse all the normalized scores into the overall scores of alternatives, by which the ranking of all the given alternatives is obtained. This paper is concluded by extending the above results to interval-valued intuitionistic fuzzy set theory, and an illustrative example is also provided.展开更多
In this paper,the eco-environmental susceptibility of Shangyi County,Northern Hebei Province of China has been calculated by using the weighted-addition method based on expert's giv- ing a mark to each influencing...In this paper,the eco-environmental susceptibility of Shangyi County,Northern Hebei Province of China has been calculated by using the weighted-addition method based on expert's giv- ing a mark to each influencing factor according to their knowledge on the influence of all the factors on eco-environmental susceptibility.The eco-environmental classification and distribution map were reached based on the above results,its difference is mainly result from the physical conditions and human activity,however the value of eco-environmental susceptibility is only a relative index which can not completely reflect the quality of eco-environment.This work provided a basis for control- ling the further development of desertification.展开更多
基金supported by the National Science Fund for Distinguished Young Scholars of China(70625005).
文摘The class of multiple attribute decision making （MADM） problems is studied, where the attribute values are intuitionistic fuzzy numbers, and the information about attribute weights is completely unknown. A score function is first used to calculate the score of each attribute value and a score matrix is constructed, and then it is transformed into a normalized score matrix. Based on the normalized score matrix, an entropy-based procedure is proposed to derive attribute weights. Furthermore, the additive weighted averaging operator is utilized to fuse all the normalized scores into the overall scores of alternatives, by which the ranking of all the given alternatives is obtained. This paper is concluded by extending the above results to interval-valued intuitionistic fuzzy set theory, and an illustrative example is also provided.
基金This project is supported by National Key Project of Eighth Five-Year Plan of China
文摘In this paper,the eco-environmental susceptibility of Shangyi County,Northern Hebei Province of China has been calculated by using the weighted-addition method based on expert's giv- ing a mark to each influencing factor according to their knowledge on the influence of all the factors on eco-environmental susceptibility.The eco-environmental classification and distribution map were reached based on the above results,its difference is mainly result from the physical conditions and human activity,however the value of eco-environmental susceptibility is only a relative index which can not completely reflect the quality of eco-environment.This work provided a basis for control- ling the further development of desertification.
