A more efficient method for defining fuzzy connectives

被引：75

作者：

Jenei, S

机构：

[1] Department of Computer Science, Eötvös Loránd University, H-1088 Budapest

来源：

FUZZY SETS AND SYSTEMS | 1997年 / 90卷 / 01期

基金：

匈牙利科学研究基金会;

关键词：

t-norm; t-conorm; negation; implication; distributivity; contrapositive symmetry; excluded middle; law of contradiction; DeMorgan triple; continuity;

D O I：

10.1016/S0165-0114(96)00135-2

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We define t-norm, t-conorm, negation and implication for intervals. Especially the 'small intervals' are considered. A sufficient and necessary condition is established for the defined connectives in order to have all the properties known from set theory or - equivalently - from the two-valued logical connectives. (C) 1997 Elsevier Science B.V.

引用

页码：25 / 35

页数：11

共 8 条

[1]

Fodor J.C., 1994, Fuzzy Preference Modelling and Multicriteria Decision Support

[2] CONTRAPOSITIVE SYMMETRY OF FUZZY IMPLICATIONS [J].

FODOR, JC .

FUZZY SETS AND SYSTEMS, 1995, 69 (02) :141-156

[3]

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

[4] ON STRICT PREFERENCE RELATIONS [J].

OVCHINNIKOV, S ;

ROUBENS, M .

FUZZY SETS AND SYSTEMS, 1991, 43 (03) :319-326

[5] ON FUZZY STRICT PREFERENCE, INDIFFERENCE, AND INCOMPARABILITY RELATIONS [J].

OVCHINNIKOV, S ;

ROUBENS, M .

FUZZY SETS AND SYSTEMS, 1992, 47 (03) :313-318

[6]

Trillas E., 1979, Stochastica, V3, P47

[7] A GENERAL CONCEPT OF FUZZY-CONNECTIVES, NEGATIONS AND IMPLICATIONS BASED ON TERT-NORMS AND TERT-CONORMS [J].

WEBER, S .

FUZZY SETS AND SYSTEMS, 1983, 11 (02) :115-134

[8]

ZADEH LA, 1975, INFORM SCIENCES, V8, P199, DOI [10.1016/0020-0255(75)90036-5, 10.1016/0020-0255(75)90046-8]

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