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Principles of inclusion and exclusion for interval-valued fuzzy sets andIF-sets

机译:区间值模糊集和中频集的包含与排除原理

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摘要

The principle of inclusion and exclusion is one of basic tools of classical set theory. Many previous papers have presented its generalizations to fuzzy sets or IF-sets (Atanassov's intuitionistic fuzzy sets) with Godel or product operations. In our previous work we clarified these questions for fuzzy sets with intersections and unions based on continuous triangular norms and conorms. Here we extend these results to interval-valued fuzzy sets and IF-sets. (C) 2016 Elsevier B.V. All rights reserved.
机译:包含与排除的原理是经典集合论的基本工具之一。先前的许多论文都将其推广到具有Godel或乘积运算的模糊集或IF集(Atanassov的直觉模糊集)。在我们之前的工作中,我们基于连续三角范数和定理,针对具有交集和并集的模糊集澄清了这些问题。在这里,我们将这些结果扩展到区间值模糊集和IF集。 (C)2016 Elsevier B.V.保留所有权利。

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