ON ALMOST DISTRIBUTIVE LUKASIEWICZ TRIPLETS

被引：13

作者：

ALSINA, C ^{[1
]}

TRILLAS, E ^{[1
]}

机构：

[1] UNIV POLITECN MADRID,FAC INFORMAT MADRID,MADRID,SPAIN

来源：

FUZZY SETS AND SYSTEMS | 1992年 / 50卷 / 02期

关键词：

T-NORM; T-CONORM; STRONG NEGATION; LUKASIEWICZ TRIPLET; STABILITY;

D O I：

10.1016/0165-0114(92)90215-P

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Given epsilon > 0 we study when a Lukasiewicz triplet (T, S, n) on [0, 1] satisfies the inequality \ T(x, S(y, z)) -S(T(x, y), T(x, z))\ less-than-or-equal-to epsilon.

引用

页码：175 / 178

页数：4

共 12 条

[1]

ACZEL J, 1966, LECTURES FUNCTIONAL

[2] ON SOME LOGICAL CONNECTIVES FOR FUZZY-SETS THEORY [J].

ALSINA, C ;

TRILLAS, E ;

VALVERDE, L .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1983, 93 (01) :15-26

[3]

ALSINA C, 1988, INT J MATH MATH SCI, V2, P439

[4]

Alsina C., 1985, CR ACAD SCI I-MATH, VVII, P207

[5] ANALYTIC FORMALISM OF THEORY OF FUZZY SETS [J].

BELLMAN, R ;

GIERTZ, M .

INFORMATION SCIENCES, 1973, 5 :149-156

[6]

HAMACHER H, 1976, 3RD P EUR M CYB SYST

[7] On the stability of the linear functional equation [J].

Hyers, DH .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1941, 27 :222-224

[8] ON APPROXIMATE ISOMETRIES [J].

HYERS, DH ;

ULAM, SM .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1945, 51 (04) :288-292

[9] APPROXIMATE ISOMETRIES OF THE SPACE OF CONTINUOUS FUNCTIONS [J].

HYERS, DH ;

ULAM, SM .

ANNALS OF MATHEMATICS, 1947, 48 (02) :285-289

[10]

LING CH, 1965, PUBL MATH-DEBRECEN, V12, P189

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