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Fuzzy modal-like approximation operators based on double residuated lattices

机译:基于双重剩余格的模糊模态近似算子

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摘要

In many applications we have a set of objects together with their properties. Since the available information is usually incomplete and/or imprecise, the true knowledge about subsets of objects can be determined approximately only. In this paper, we discuss a fuzzy generalisation of two pairs of relation-based operators suitable for fuzzy set approximations, which have been recently investigated by Duntsch and Gediga. Double residuated lattices, introduced by Orlowska and Radzikowska, are taken as basic algebraic structures. Main properties of these operators are presented.
机译:在许多应用程序中,我们都有一组对象及其属性。由于可用信息通常是不完整和/或不精确的,因此只能大致确定有关对象子集的真实知识。在本文中,我们讨论了适用于模糊集逼近的两对基于关系的算子的模糊概括,Duntsch和Gediga最近对其进行了研究。由Orlowska和Radzikowska引入的双剩余格被视为基本代数结构。介绍了这些运算符的主要属性。

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