Displaying similar documents to “Cut properties of resemblance”

m * -fuzzy basically disconnected spaces in smooth fuzzy topological spaces

B. Amudhambigai, Mallasamudram Kuppusamy Uma, Elango Roja (2013)

Mathematica Bohemica

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In this paper, the concepts of m * r -fuzzy g ˜ -open F σ sets and m * -fuzzy basically disconnected spaces are introduced in the sense of Šostak and Ramadan. Some interesting properties and characterizations are studied. Tietze extension theorem for m * -fuzzy basically disconnected spaces is discussed.

The strongest t-norm for fuzzy metric spaces

Dong Qiu, Weiquan Zhang (2013)

Kybernetika

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In this paper, we prove that for a given positive continuous t-norm there is a fuzzy metric space in the sense of George and Veeramani, for which the given t-norm is the strongest one. For the opposite problem, we obtain that there is a fuzzy metric space for which there is no strongest t-norm. As an application of the main results, it is shown that there are infinite non-isometric fuzzy metrics on an infinite set.

Clustering of vaguely defined objects

Libor Žák (2003)

Archivum Mathematicum

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This paper is concerned with the clustering of objects whose properties cannot be described by exact data. These can only be described by fuzzy sets or by linguistic values of previously defined linguistic variables. To cluster these objects we use a generalization of classic clustering methods in which instead of similarity (dissimilarity) of objects, used fuzzy similarity (fuzzy dissimilarity) to define the clustering of fuzzy objects.