Simplification and independence of axioms of fuzzy logic systems IMTL and NM

被引：10

作者：

Pei, DW ^{[1
]}

机构：

[1] Xi An Jiao Tong Univ, Ctr Sci Res, Xian 710049, Peoples R China

[2] Yancheng Teachers Coll, Dept Math, Yancheng 224002, Peoples R China

来源：

FUZZY SETS AND SYSTEMS | 2005年 / 152卷 / 02期

关键词：

fuzzy logic; involutive monoidal t-norm-based logic; nilpotent minimum logic; simplification; independence;

D O I：

10.1016/j.fss.2004.12.002

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Monoidal t-norm-based logic MTL is the common formalization of all fuzzy logic of left continuous t-norms and their residua. This system has two important schematic extensions: involutive monoidal t-norm-based logic IMTL and nilpotent minimum logic NM. In this paper, we discuss simplification and independence of axioms of IMTL and NM, the shorter axioms of both logics, and an independent axioms of the system IMTL are given. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：303 / 320

页数：18

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