Scalar cardinalities of finite fuzzy sets for t-norms and t-conorms

被引：18

作者：

Casasnovas, J ^{[1
]}

Torrens, J ^{[1
]}

机构：

[1] Univ Balearic Isl, Dept Math & Comp Sci, Palma de Mallorca 07071, Spain

来源：

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS | 2003年 / 11卷 / 05期

关键词：

fuzzy set; scalar cardinality; t-norm; t-conorm;

D O I：

10.1142/S0218488503002351

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

An axiomatic approach to scalar cardinalities of finite fuzzy sets involving t-norms and t-conorms is presented. A characterization theorem for these cardinalities is proved and it is also proved that some standard properties remain true. On the other hand, properties like finite additivity, valuation property or finite subadditivity depend on the t-norm and the t-conorm.

引用

页码：599 / 614

页数：16

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