Preordered sets valued in a GL-monoid
نویسندگان
چکیده
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. © 2011 Elsevier B.V. All rights reserved.
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ورودعنوان ژورنال:
- Fuzzy Sets and Systems
دوره 187 شماره
صفحات -
تاریخ انتشار 2012