Extended triangular norms

被引：33
作者：
Starczewski, Janusz T. [1 ]
机构：
[1] Czestochowa Tech Univ, Dept Comp Engn, PL-42200 Czestochowa, Poland
来源：
INFORMATION SCIENCES | 2009年 / 179卷 / 06期
关键词：
Extended triangular norms; Extension principle; Type-2 fuzzy sets; Fuzzy truth values; Fuzzy truth intervals; Fuzzy truth numbers; FUZZY-SETS; UNCERTAINTY;
D O I：
10.1016/j.ins.2008.11.009
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The paper is devoted to classical t-norms extended to operations on fuzzy quantities in accordance with the generalized Zadeh extension principle. Such extended t-norms are used for calculating intersection of type-2 fuzzy sets. Analytical expressions for membership functions of some extended t-norms are derived assuming special classes of fuzzy quantities, i.e., fuzzy truth intervals or fuzzy truth numbers. The possibility of applying these results in the construction of type-2 adaptive network fuzzy inference systems is illustrated on several examples. (C) 2008 Elsevier Inc. All rights reserved,
引用
收藏
页码：742 / 757
页数：16
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