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Choquet integral-based fuzzy molecular characterizations: when global definitions are computed from the dependency among atom/bond contributions (LOVIs/LOEIs)

机译:基于Choquet积分的模糊分子表征:根据原子/键贡献(LOVIs / LOEIs)之间的依赖性计算全局定义时

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摘要

BackgroundSeveral topological (2D) and geometric (3D) molecular descriptors (MDs) are calculated from local vertex/edge invariants (LOVIs/LOEIs) by performing an aggregation process. To this end, norm-, mean- and statistic-based (non-fuzzy) operators are used, under the assumption that LOVIs/LOEIs are independent (orthogonal) values of one another. These operators are based on additive and/or linear measures and, consequently, they cannot be used to encode information from interrelated criteria. Thus, as LOVIs/LOEIs are not orthogonal values, then non-additive (fuzzy) measures can be used to encode the interrelation among them.
机译:背景技术通过执行聚合过程,从局部顶点/边不变式(LOVIs / LOEIs)计算出几个拓扑(2D)和几何(3D)分子描述符(MDs)。为此,在LOVI / LOEI是彼此独立(正交)的假设下,使用基于范数,均值和统计的(非模糊)运算符。这些运算符基于加法和/或线性度量,因此,不能将其用于对来自相关标准的信息进行编码。因此,由于LOVI / LOEI不是正交值,因此可以使用非加性(模糊)度量来编码它们之间的相互关系。

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