Certain Types of M-fuzzifying Matroids: A fundamental Look at the Security Protocols in RFID and IoT

Certain Types of M-fuzzifying Matroids: A fundamental Look at the Security Protocols in RFID and IoT
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某些类型的 M 模糊化拟阵:从根本上了解 RFID 和物联网中的安全协议

DOI:
10.1016/j.future.2018.04.028
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发表时间:
2018-09
影响因子:
7.5
通讯作者:
Xinyi Huang
Xinyi Huang
中科院分区:
计算机科学2区
文献类型:
--
作者:
杨少军;Xinyi Huang

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RFID和物联网的安全协议通常建立在np困难问题上。贪心算法是求解某些np困难问题的有效方法。然而,贪心算法能得到最优解当且仅当解的结构是一个矩阵。本文主要研究m -模糊化拟阵。将无环拟阵、简单拟阵、铺装拟阵和均匀拟阵的概念推广到模糊集,分别称为m -模糊化无环拟阵、m -模糊化简单拟阵、模糊化铺装拟阵和模糊化均匀拟阵。从范畴意义上,研究了m -模糊化拟阵、m -模糊化无环拟阵和m -模糊化简单拟阵之间的关系。
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 on M-fuzzifying matroids. The notions of acyclic matroids, simple matroids, paving matroids and uniform matroids are generalized to fuzzy setting, which are called M-fuzzifying acyclic matroids, M-fuzzifying simple matroids, fuzzifying paving matroids and fuzzifying uniform matroids, respectively. From the sense of categorical, the relationships between M-fuzzifying matroids, M-fuzzifying acyclic matroids and M-fuzzifying simple matroids are investigated.
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