Title of article
Preordered sets valued in a GL-monoid
Author/Authors
Pu، نويسنده , , Qiang and Zhang، نويسنده , , Dexue، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2012
Pages
32
From page
1
To page
32
Abstract
Let M = ( L , * ) be a GL-monoid. An M-valued preordered set is an L-subset endowed with a reflexive and M-transitive L-relation, it is essentially a category enriched in a quantaloid generated by M. This paper presents a study of M-valued preordered sets with emphasis on symmetrization and the Cauchy completion. The main result states that symmetrization and the Cauchy completion of M-valued preordered sets commute up to a natural isomorphism.
Keywords
GL-monoid , Quantaloid , M-valued set , Symmetrization , L-subset , L-relation , Enriched category , M-valued preordered set , bimodule , Cauchy completion
Journal title
FUZZY SETS AND SYSTEMS
Serial Year
2012
Journal title
FUZZY SETS AND SYSTEMS
Record number
1601419
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