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Multi-argument fuzzy measures on lattices of fuzzy sets

机译:模糊集格上的多参数模糊测度

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摘要

In this paper, we axiomatically introduce fuzzy multi-measures on bounded lattices. In particular, we make a distinction between four different types of fuzzy set multi-measures on a universe X, considering both the usual or inverse real number ordering of this lattice and increasing or decreasing monotonicity with respect to the number of arguments. We provide results from which we can derive families of measures that hold for the applicable conditions in each case.
机译:在本文中,我们公理地介绍了有界格上的模糊多重测度。特别是,我们考虑了该晶格的常规实数或逆实数排序以及关于自变量数量的单调性增加或减少,从而对Universe X上的四种不同类型的模糊集多重度量进行了区分。我们提供结果,从中我们可以得出适用于每种情况的适用条件的度量标准系列。

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