Fuzzy logic programming via multilattices

被引：34

作者：

Medina, Jesus ^{[1
]}

Ojeda-Aciego, Manuel ^{[1
]}

Ruiz-Calvino, Jorge ^{[1
]}

机构：

[1] Univ Malaga, Dept Matemat Aplicada, E-29071 Malaga, Spain

来源：

FUZZY SETS AND SYSTEMS | 2007年 / 158卷 / 06期

关键词：

fuzzy logic programming; multilattices; fixed point semantics;

D O I：

10.1016/j.fss.2006.11.006

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We investigate the use of multilattices as the set of truth-values underlying a general fuzzy logic programming framework. On the one hand, some theoretical results about ideals of a multilattice are presented in order to provide an ideal-based semantics; on the other hand, a restricted semantics, in which interpretations assign elements of a multilattice to each propositional symbol, is presented and analysed. (C) 2006 Elsevier B.V. All rights reserved.

引用

页码：674 / 688

页数：15

共 21 条

[1]

[Anonymous], 1955, CZECH MATH J

[2]

Birkhoff G., 1973, Lattice Theory

[3]

Cordero P, 2004, ANN MATH ARTIF INTEL, V42, P369, DOI 10.1023/B:AMAI.0000038312.77514.3c

[4]

DAMASIO C, 2004, LECT NOTES ARTIF INT, V3229, P260

[5]

Damasio C.V., 2001, LECT NOTES ARTIF INT, V2143, P748

[6] BILATTICES AND THE SEMANTICS OF LOGIC PROGRAMMING [J].

FITTING, M .

JOURNAL OF LOGIC PROGRAMMING, 1991, 11 (02) :91-116

[7]

Gratzer G, 1998, General Lattice Theory

[8] AN AXIOMATIC CHARACTERIZATION OF MULTILATTICES [J].

HANSEN, DJ .

DISCRETE MATHEMATICS, 1981, 33 (01) :99-101

[9] SOME RESULTS INVOLVING MULTILATTICE IDEALS AND DISTRIBUTIVITY [J].

JOHNSTON, IJ .

DISCRETE MATHEMATICS, 1990, 83 (01) :27-35

[10] Fixed point theorems in logic programming [J].

Khamsi, MA ;

Misane, D .

ANNALS OF MATHEMATICS AND ARTIFICIAL INTELLIGENCE, 1997, 21 (2-4) :231-243

← 1 2 3 →