Distance and similarity measures for fuzzy operators

被引：53

作者：

Balopoulos, Victor ^{[1
]}

Hatzimichailidis, Anestis G. ^{[1
]}

Papadopoulos, Basil K. ^{[1
]}

机构：

[1] Democritus Univ Thrace, Dept Civil Engn, GR-67100 Xanthi, Greece

来源：

INFORMATION SCIENCES | 2007年 / 177卷 / 11期

关键词：

fuzzy operator; fuzzy implication; metric distance; similarity measure; fuzzy sets;

D O I：

10.1016/j.ins.2007.01.005

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We introduce and study a new family of normalized distance measures between binary fuzzy operators, along with its dual family of similarity measures. Both are based on matrix norms and arise from the study of the aggregate plausibility of set-operations. We also suggest a new family of normalized distance measures between fuzzy sets, based on binary operators and matrix norms, and discuss its qualitative and quantitative features. All measures proposed are intended for applications and may be customized according to the needs and intuition of the user. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：2336 / 2348

页数：13

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