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On the $L$ -valued categories of $L$ - $E$ -ordered sets

Olga Grigorenko — 2012

Kybernetika

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...

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On the L -valued categories of L - E -ordered sets

On the $L$ -valued categories of $L$ - $E$ -ordered sets