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Certain types of M-fuzzifying matroids: A fundamental look at the security protocols in RFID and IoT

机译:某些类型的M-模糊类机器人:从根本上了解RFID和IoT中的安全协议

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摘要

Security protocols for RFID and IoT are often built on NP-hard problems. The greedy algorithm is an effective method to solve some NP-hard problems. However, the greedy algorithm can get the optimal solution if and only if the structure of the solutions is a matroid. This paper focuses onM-fuzzifying matroids. The notions of acyclic matroids, simple matroids, paving matroids and uniform matroids are generalized to fuzzy setting, which are calledM-fuzzifying acyclic matroids,M-fuzzifying simple matroids, fuzzifying paving matroids and fuzzifying uniform matroids, respectively. From the sense of categorical, the relationships betweenM-fuzzifying matroids,M-fuzzifying acyclic matroids andM-fuzzifying simple matroids are investigated.
机译:RFID和IoT的安全协议通常基于NP难题。贪婪算法是解决一些NP难题的有效方法。但是,只有当解的结构为拟阵时,贪婪算法才能获得最优解。本文关注于M模糊拟阵。非环状拟阵,简单拟阵,铺装拟阵和均匀拟阵的概念被广义化为模糊设置,分别称为M-模糊化非环状拟阵,M-模糊化简单拟阵,模糊铺路拟阵和模糊统一拟阵。从范畴的意义上,研究了M模糊拟阵,M模糊非循环拟阵和M模糊简单拟阵之间的关系。

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