Complete Many-Valued Lattices

被引：0

作者：

Eklund, Patrik ^{[1
]}

Gutierrez Garcia, Javier ^{[2
]}

Hoehle, Ulrich ^{[3
]}

Kortelainen, Jari ^{[4
]}

机构：

[1] Univ Umea, Dept Comp Sci, Umea, Sweden

[2] Univ Basque Country, UPV EHU, Dept Matemat, Apdo 644, E-48080 Bilbao, Spain

[3] Berg Univ Wuppertal, Fak Math & Nat Wissensch, D-42097 Wuppertal, Germany

[4] South Eastern Finland Univ Appl Sci, Dept Informat Technol, FI-50101 Mikkeli, Finland

来源：

2017 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE) | 2017年

关键词：

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Let Sup be the category of complete lattices and join preserving maps. The aim of this paper is to show that the theory of complete many-valued lattices exists. For this purpose we recall the concept of many-valued preordered sets and show that the category of many-valued join-complete lattices is isomorphic to the category of right modules in Sup - a theorem which goes back to I. Stubbe in a more general context given by quantaloid enriched categories. Finally, we will explain the presented theory by some natural examples, and do not hesitate to apply the theory to a simple stochastic linear programming problem.

引用

页数：5

共 12 条

[1] Enriched categories and many-valued preorders: Categorical, semantical, and topological perspectives [J].