Shadowed sets: Representing and processing fuzzy sets

被引：321

作者：

Pedrycz, W ^{[1
]}

机构：

[1] Univ Manitoba, Dept Elect & Comp Engn, Winnipeg, MB R3T 2N2, Canada

来源：

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS | 1998年 / 28卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

decision-making; fuzzy clustering; fuzzy sets; rough sets; shadowed sets; symbolic computing; three-valued logic; vagueness;

D O I：

10.1109/3477.658584

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This study introduces a new concept of shadowed sets that can be regarded as a certain operational framework simplifying processing carried out with the aid of fuzzy sets and enhancing interpretation of results obtained therein. Some conceptual links between this idea and some others known in the literature are established. In particular, it is demonstrated how fuzzy sets can induce shadowed sets. Subsequently, shadowed sets reveal interesting conceptual and algorithmic relationships existing between rough sets and fuzzy sets. Detailed computational aspects of shadowed sets are discussed. Several illustrative examples are provided.

引用

页码：103 / 109

页数：7

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