构造阿基米德三角模的算子

Modeling, Control and Information Technologies Pub Date : 2019-11-05 DOI:10.31713/mcit.2019.21

R. Vorobel

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引用次数: 1

摘要

三角范数和联想函数是模糊逻辑和模糊系统中连接词的基础。提出了一种新的连接算子，可以生成不同类型的模糊连接词。证明了该算子满足交换性、结合性、单调性和边界条件等公理的要求。对其进行参数化，得到新的三角范数。构造参数化三角规范是严格的阿基米德型。

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Operator for Construction of Archimedian Triangular Norms

Triangular norms and associative functions arebase of connectives in fuzzy logic and fuzzy systems. Newconnective operator that can generate different classes of fuzzyconnectives is proposed. It is proved that this operator satisfiesthe requirements of such axioms as commutativity, associativity,monotonicity and boundary conditions. It is parameterized andtherefore new triangular norms are obtained. Constructedparameterized triangular norms are of a strict and Archimediantype.

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Modeling, Control and Information Technologies

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