Reconstruction of additive generators from partial derivatives of continuous Archimedean t-norms

被引：0

作者：

Navara, Mirko ^{[1
]}

Petrik, Milan ^{[2
,3
]}

Sarkoci, Peter ^{[4
]}

机构：

[1] Czech Tech Univ, Ctr Machine Percept, Dept Cybernet, Fac Elect Engn, Prague 16627 6, Czech Republic

[2] Univ Ostrava, Inst Res & Applicat Fuzzy Modeling, CZ-70103 Ostrava, Czech Republic

[3] Acad Sci Czech Republ, Inst Comp Sci, Prague 18207 8, Czech Republic

[4] Slovak Univ Technol Bratislava, Fac Civil Engn, Dept Math & Descript Geometry, Bratislava 81368, Slovakia

来源：

40TH IEEE INTERNATIONAL SYMPOSIUM ON MULTIPLE-VALUED LOGIC ISMVL 2010 | 2010年

关键词：

D O I：

10.1109/ISMVL.2010.52

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The paper shows a direct correspondence between the first partial derivatives of a continuous Archimedean triangular norm and the first derivatives of its additive generator. An explicit formula for the additive generator is obtained. Application of the result is demonstrated on the problem of convex combinations of strict triangular norms.

引用

页码：241 / 244

页数：4

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