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Attribute reduction means that redundant attributes are excluded from decision table and it is an important topic in rough set theory research. Firstly, this paper proposes a new algorithm for computing equivalence classes based on subsection quick sort and obtains a higher efficiency compared with traditional algorithms. On this basis, the algorithm for computing refined decision table is given, which makes it possible to discover attribute reduction by using part objects. Finally, a fast attribute reduction algorithm which uses quantity of information as heuristic information is presented. Time complexity of the algorithm is O(| C | 2 | U/C |). Theoretical analysis and experimental results show that the algorithm proposed in this paper is efficient and provides a good job for follow-up work. [ABSTRACT FROM AUTHOR]

Parallel sorting algorithms are widely studied nowadays. After the introduction of parallel processors such as graphics processing unit (GPU) and easy to use parallel programming languages such as CUDA and OpenCL, literature on parallel sorting algorithms has become vast and richer with new ideas and techniques applied to solve the famous problem of sorting. This paper presents a survey of GPU based sorting algorithms. Four sorting algorithms have been selected for this survey: Radix sort, Merge sort, Sample sort and Quick sort. Methods used in those algorithms are described in brief. The performance of these algorithms as claimed by their authors is also presented. A comparative analysis based on the literature is depicted. [ABSTRACT FROM AUTHOR]

The Suffix Array (SA) is a fundamental data structure which is widely used in the applications such as string matching, text index and computation biology, etc. How to sort the suffixes of a string in lexicographical order is a primary problem in constructing SAs, and one of the widely used suffix sorting algorithms is qsufsort. However, qsufsort suffers one critical limitation that the order of suffixes starting with the same characters cannot be determined in the kth round. To this point, in our paper, an efficient suffix sorting algorithm called dsufsort is proposed by overcoming the drawback of the qsufsort algorithm. In particular, our proposal maintains the depth of each unsorted portion of SA, and sorts the suffixes based on the depth in each round. By this means, some suffixes that cannot be sorted by qsufsort in each round can be sorted now, as a result, more sorting results in current round can be utilized by the latter rounds and the total number of sorting rounds will be reduced, which means dsufsort is more efficient than qsufsort. The experimental results show the effectiveness of the proposed algorithm, especially for the text with high repetitions. [ABSTRACT FROM AUTHOR]

Traditionally, the construction of polar codes requires intense computations to sort all bit channels. In previous works, two types of partial orders (POs) of polar codes were proposed to decrease the computations in the construction process. In this paper, a procedure is presented to employ POs with complexity O(N2), which is lower than the existing procedures, where N=2n is the code length (n≥1). To further reduce the computation complexity, in this paper, we propose a general partial order (GPO), which works at a lower dimension (nu