Characterization of measures based on strict triangular norms

被引：30

作者：

Navara, M ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1999年 / 236卷 / 02期

关键词：

D O I：

10.1006/jmaa.1999.6438

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

As a natural generalization of a measure space, Butnariu and Klement [4] introduced T-tribes of fuzzy sets with T-measures. They gave a complete characterization of T-measures for a Frank triangular norm T. Here we characterize T-measures with respect to non-Frank strict triangular norms. We show the specific roles of Frank triangular norms and a newly introduced family, nearly Frank triangular norms. (C) 1999 Academic Press.

引用

页码：370 / 383

页数：14

共 16 条

[1] Range of finitely additive fuzzy measures [J].

Avallone, A ;

Barbieri, G .

FUZZY SETS AND SYSTEMS, 1997, 89 (02) :231-241

[2]

BARBIERI G, 1999, FUZZY SETS SYSTEMS

[3] TRIANGULAR NORM-BASED MEASURES AND THEIR MARKOV KERNEL REPRESENTATION [J].

BUTNARIU, D ;

KLEMENT, EP .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1991, 162 (01) :111-143

[4]

Butnariu D., 1993, Triangular Norm-Based Measures and Games with Fuzzy Coalitions

[5]

Frank MJ., 1979, AEQUATIONES MATH, V19, P194, DOI [DOI 10.1007/BF02189866, 10.1007/BF02189866]

[6]

Gehrke M, 1996, INT J INTELL SYST, V11, P733, DOI 10.1002/(SICI)1098-111X(199610)11:10<733::AID-INT2>3.0.CO

[7]

2-#

[8] CONSTRUCTION OF FUZZY SIGMA-ALGEBRAS USING TRIANGULAR NORMS [J].

KLEMENT, EP .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1982, 85 (02) :543-565

[9]

KLEMENT EP, IN PRESS TRIANGULAR

[10]

Ling C. H, 1965, Publ. Math. Debrecen, V12, P182

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