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Addition-min fuzzy relation inequalities with application in BitTorrent-like Peer-to-Peer file sharing system

机译：最小加法模糊不等式及其在类似BitTorrent的点对点文件共享系统中的应用

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摘要

The data transmission mechanism in BitTorrent-like Peer-to-Peer (P2P) file sharing systems may be reduced tosome additionmin fuzzy relation inequalities. The solution set of addition-min fuzzy relation inequalities plays an important role in the corresponding optimization problem. In this paper, we study some properties of the solutions to such system. Convexity of the solution set and number of minimal solutions are discussed, with comparison to those of the classical max-Tfuzzy relation equations or inequalities. Besides, vertex solution and variable-ordering minimal solution are also investigated, with application in BitTorrent-like P2P file sharing system. Two numerical examples are given to illustrate the feasibility and efficiency of the algorithm for solving the variable-ordering solution. (C) 2017 Elsevier B.V. All rights reserved.
机译：可以将类似BitTorrent的对等（P2P）文件共享系统中的数据传输机制减少到一些模糊关系不等式。最小与最小模糊关系不等式的解集在相应的优化问题中起着重要作用。在本文中，我们研究了该系统解的一些性质。与经典的max-Tfuzzy关系方程或不等式的比较，讨论了解集的凸性和最小解的数量。此外，还研究了顶点解和可变序最小解，并将其应用于类似BitTorrent的P2P文件共享系统中。给出了两个数值例子，说明了该算法求解变量有序解的可行性和有效性。 （C）2017 Elsevier B.V.保留所有权利。

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