Normal forms for fuzzy logic functions and their approximation ability

被引：35

作者：

Perfilieva, I ^{[1
]}

机构：

[1] Univ Ostrava, Inst Res & Applicat Fuzzy Modeling, Ostrava 70103 1, Czech Republic

来源：

FUZZY SETS AND SYSTEMS | 2001年 / 124卷 / 03期

关键词：

MV-algebra; fuzzy logic (FL-)function; disjunctive and conjunctive normal forms; IF-THEN rules; universal approximation;

D O I：

10.1016/S0165-0114(01)00107-5

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Aiming at developing theoretical backgrounds of fuzzy logic, we consider an MV-algebra of fuzzy logic functions. Two kinds of formulas regarded as disjunctive and conjunctive normal forms are introduced as a formal translation of IF-THEN rules. Their ability for an approximate representation of uniformly continuous functions are investigated, The problem of transformation of any formula of propositional fuzzy logic into either of the normal forms is discussed. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：371 / 384

页数：14

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