Max-min fuzzy relation equations are introduced to describe the peer-to-peer (P2P) data transmission mechanism in instructional information resources' sharing system. In some cases, it is not able to satisfy the download requirements of the terminals completely. Hence, the max-min fuzzy relation equations system might be inconsistent. In order to avoid the unbalance of the dissatisfaction degree, we introduce a new definition of approximate solution for the inconsistent max-min fuzzy relation equations' system. Our defined approximate solution could minimize the biggest dissatisfaction degree among the equations. Based on an auxiliary system with the parameter, we propose a linear searching algorithm to find an approximate solution of an inconsistent max-min system. A detailed numerical example is provided to show the resolution processes and the validity of our proposed algorithm.
There is an immense amount of data in the cloud database and among these data, much potential and valuable knowledge are implicit. The key point is to discover and pick out the useful knowledge, and to do so automatically. In this paper, the data model of the cloud database is analyzed. Through analyzing and classifying, the common features of the data are extracted to form a feature data set. The relationships among different areas in the data are then analyzed, from which the new knowledge can be found. In the paper, the basic data mining model based on the cloud database is defined, and the discovery algorithm is presented.
Cloud computing is the latest trend in IT technical development, the importance of cloud databases has been widely acknowledged. There are numerous data in the cloud database and among these data, much potential and valuable knowledge are implicit. The key point is to discover and pick up the useful knowledge automatically. An association rule is one of the main models in mining out these data, and it mainly focuses on the relationship among different areas in the data. This paper puts forward the basic model of data mining based on association rules in cloud database and introduces corresponding mining algorithms.
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