Correspondence between probabilistic norms and fuzzy norms

author

  • Hua-Peng Zhang School of Science, Nanjing University of Posts and Telecommuni- cations, Nanjing 210023, China
Abstract:

In this paper, the connection between Menger probabilistic norms and H"{o}hle probabilistic norms is discussed. In addition, the correspondence between probabilistic norms and Wu-Fang fuzzy (semi-) norms is established. It is shown that a probabilistic norm (with triangular norm $min$) can generate a Wu-Fang fuzzy semi-norm and conversely, a Wu-Fang fuzzy norm can generate a probabilistic norm.

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Journal title

volume 13  issue 1

pages  105- 114

publication date 2016-02-28

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