在粗糙集和LT-fuzzy集上

Soft Computing in Intelligent Systems and Information Processing. Proceedings of the 1996 Asian Fuzzy Systems Symposium Pub Date : 1996-12-11 DOI:10.1109/AFSS.1996.583542

A. Wasilewska

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引用次数: 1

摘要

Rasiowa和Cat Ho(1992)提出了LT-fuzzy集的概念。lt -模糊集是Goguen(1967)引入的l -模糊集的修正。本文引入了广义粗糙集的概念，并证明了广义粗糙集可以看作是l -模糊集的一个特例。我们也将Pawlak在1985年引入的集合的粗糙相等的概念推广到集合的拓扑相等的概念，并证明了lt -模糊集为所有被考虑的概念提供了一个共同的表征。

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On rough and LT-fuzzy sets

A concept of LT-fuzzy sets was introduced by Rasiowa and Cat Ho (1992). LT-fuzzy sets are a modification of L-fuzzy sets introduced by Goguen (1967). We introduce here a notion of a generalized rough set and show that it can be considered as a particular case of a L-fuzzy set. We also generalize the notion of a rough equality of sets, introduced by Pawlak in 1985 to a notion of topological equality of sets and we prove that the LT-fuzzy sets provide a common characterization for all of the considered concepts.

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Soft Computing in Intelligent Systems and Information Processing. Proceedings of the 1996 Asian Fuzzy Systems Symposium

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