On Fuzzy Sheffer Stroke Operation

被引：5

作者：

Helbin, Piotr ^{[1
]}

Niemyska, Wanda ^{[2
]}

Berruezo, Pedro ^{[3
,4
]}

Massanet, Sebastia ^{[3
,4
]}

Ruiz-Aguilera, Daniel ^{[3
,4
]}

Baczynski, Michal ^{[1
]}

机构：

[1] Univ Silesia Katowice, Inst Math, Bankowa 14, PL-40007 Katowice, Poland

[2] Univ Warsaw, Inst Informat, Banacha 2, PL-02097 Warsaw, Poland

[3] Univ Balearic Isl, Dept Math & Comp Sci, Soft Comp Image Proc & Aggregat SCOPIA Res Grp, Palma De Mallorca 07122, Spain

[4] Balearic Isl Hlth Res Inst IdISBa, Palma De Mallorca 07010, Spain

来源：

ARTIFICIAL INTELLIGENCE AND SOFT COMPUTING (ICAISC 2018), PT II | 2018年 / 10842卷

关键词：

Sheffer stroke; Fuzzy implication; Fuzzy negation; t-norm; t-conorm;

D O I：

10.1007/978-3-319-91262-2_56

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The generalization of the classical logical connectives to the fuzzy logic framework has been one of the main research lines since the introduction of fuzzy logic. Although many classical logical connectives have been already generalized, the Sheffer stroke operation has received scant attention. This operator can be used by itself, without any other logical operator, to define a logical formal system in classical logic. Therefore, the goal of this article is to present some initial ideas on the fuzzy Sheffer stroke operation in fuzzy logic. A definition of this operation in the fuzzy logic framework is proposed. Then, a characterization theorem in terms of a fuzzy conjunction and a fuzzy negation is presented. Finally, we show when we can obtain other fuzzy connectives from fuzzy Sheffer stroke operation.

引用

页码：642 / 651

页数：10

共 4 条

[1]

[Anonymous], 1994, Fuzzy preference modelling and multicriteria decision support

[2]

Baczynski M, 2008, STUD FUZZ SOFT COMP, V231, P1

[3]

Klement Erich P., 2000, Triangular Norms

[4] Sheffer Stroke Fuzzy Implications [J].

Niemyska, Wanda ;

Baczynski, Michal ;

Wasowicz, Szymon .

ADVANCES IN FUZZY LOGIC AND TECHNOLOGY 2017, VOL 3, 2018, 643 :13-24

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