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A new fuzzy arithmetic

Fuzzy Sets and Systems, 1999
Following \textit{R. Goetschel jun.} and \textit{W. Voxman} [Fuzzy Sets Syst. 18, 31-43 (1986; Zbl 0626.26014)] the authors define a fuzzy number as a triple \((u_0, u_*, u^*)\) where the real number \(u_0\) is a location parameter and \(u_*,\;u^*\) are decreasing fuzziness index functions.
Menahem Friedman, Abraham Kandel
exaly   +2 more sources

The fuzzy arithmetic mean

Fuzzy Sets and Systems, 1999
The fuzzy average and the fuzzy arithmetic mean are represented in this paper. It has been proved that with a theorem the fuzzy arithmetic mean converges to the normal arithmetic mean. It is shown how to use the fuzzy average, which is compared with fuzzy control rules with an example.
exaly   +2 more sources

A concrete reformulation of fuzzy arithmetic

Expert Systems with Applications, 2021
Abstract Advancement in fuzzy arithmetic is essential to advancing the applicability of fuzzy set theory (FST) to approximate reasoning problems arose in engineering, medicine, managerial science and many other domains. In the recent FST literature, many of the noteworthy progresses in fuzzy arithmetic have been built upon increasingly sophisticated ...
openaire   +1 more source

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