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.