Some results on the relationships between transitivity-related indicators of fuzzy relations

Caiping Wu, Liming Wang
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引用次数: 3

Abstract

In this paper, first we redefine a asymmetry indicator of fuzzy relations. Meanwhile, we present the degree description of a condition proposed by Peng et al. Then we mainly investigate the relationships between some transitivity-related indicators, particularly between those of T-transitivity, negative S-transitivity, T-S-semitransitivity and T-S-Ferrers property. With our research, some work done by Fodor and Peng et al. are extended to the degree description.
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模糊关系中传递性相关指标之间关系的一些结果
本文首先重新定义模糊关系的不对称指标。同时,我们给出了Peng等人提出的一种条件的度描述。然后重点研究了一些传递性相关指标之间的关系,特别是t -传递性、负s -传递性、t -s -半传递性和T-S-Ferrers性质之间的关系。在我们的研究中,Fodor和Peng等人所做的一些工作被扩展到度描述。
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