Interpreting lattice-valued set theory in fuzzy set theory

被引：3

作者：

Hajek, Petr ^{[1
]}

Hanikova, Zuzana ^{[1
]}

机构：

[1] Acad Sci Czech Republic, Inst Comp Sci, Prague 18207, Czech Republic

来源：

LOGIC JOURNAL OF THE IGPL | 2013年 / 21卷 / 01期

关键词：

Lattice-valued logic; lattice-valued set theory; basic fuzzy logic; fuzzy set theory; LOGIC;

D O I：

10.1093/jigpal/jzs023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An interpretation of lattice-valued logic, defined by Titani, in basic fuzzy logic, defined by Hajek, is presented. Moreover, Titani's axioms of lattice-valued set theory are interpreted in fuzzy set theory, as defined by the authors.

引用

页码：77 / 90

页数：14

共 16 条

[1] Fuzzy logics as the logics of chains [J].

Behounek, L ;

Cintula, P .

FUZZY SETS AND SYSTEMS, 2006, 157 (05) :604-610

[2] The LII and LII1/2 propositional and predicate logics [J].

Cintula, P .

FUZZY SETS AND SYSTEMS, 2001, 124 (03) :289-302

[3]

Esteva F, 2001, ARCH MATH LOGIC, V40, P39, DOI 10.1007/s001530050173

[4]

Esteva F, 1999, Mathw. Soft Comput., V6, P219

[5]

Gottwald S., 2009, WITNESSED YEARS ESSA, P193

[6]

Gottwald Siegfried., 2006, STUD LOGICA, V82, P211

[7]

Grayson R.J., 1979, LECT NOTES MATH, V753, P402, DOI DOI 10.1007/BFB0061825

[8]

Hájek P, 2003, STUD FUZZ SOFT COMP, V114, P273

[9] A set theory within fuzzy logic [J].

Hájek, P ;

Haniková, Z .

31ST INTERNATIONAL SYMPOSIUM ON MULTIPLE-VALUED LOGIC, PROCEEDINGS, 2001, :319-323

[10]

HAJEK P, 2000, P E W FUZZ C 2000 ZI, P2

← 1 2 →