1. On the L-valued categories of L-E-ordered sets
- Creator:
- Grigorenko, Olga
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- category, L-valued category, and fuzzy order relation
- Language:
- English
- Description:
- The aim of this paper is to construct an L-valued category whose objects are L-E-ordered sets. To reach the goal, first, we construct a category whose objects are L-E-ordered sets and morphisms are order-preserving mappings (in a fuzzy sense). For the morphisms of the category we define the degree to which each morphism is an order-preserving mapping and as a result we obtain an L-valued category. Further we investigate the properties of this category, namely, we observe some special objects, special morphisms and special constructions.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public