Displaying similar documents to “On the Order Type L-valued Relations on L-powersets.”

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

Olga Grigorenko (2012)

Kybernetika

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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...

Generated fuzzy implications and fuzzy preference structures

Vladislav Biba, Dana Hliněná (2012)

Kybernetika

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The notion of a construction of a fuzzy preference structures is introduced. The properties of a certain class of generated fuzzy implications are studied. The main topic in this paper is investigation of the construction of the monotone generator triplet ( p , i , j ) , which is the producer of fuzzy preference structures. Some properties of mentioned monotone generator triplet are investigated.

On the hyperspace of bounded closed sets under a generalized Hausdorff stationary fuzzy metric

Dong Qiu, Chongxia Lu, Shuai Deng, Liang Wang (2014)

Kybernetika

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In this paper, we generalize the classical Hausdorff metric with t-norms and obtain its basic properties. Furthermore, for a given stationary fuzzy metric space with a t-norm without zero divisors, we propose a method for constructing a generalized Hausdorff fuzzy metric on the set of the nonempty bounded closed subsets. Finally we discuss several important properties as completeness, completion and precompactness.