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Continuity in Zadeh's compositional rule of inference

✍ Scribed by Sándor Jenei

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
478 KB
Volume
104
Category
Article
ISSN
0165-0114

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✦ Synopsis

In this paper the continuity property of the generalized modus ponens in the approximate reasoning is discussed. It is shown that the continuity in the uniform metric and the Hausdorff metric is equivalent on the RL-type intervals. Continuity of the generalized modus ponens is examined in Hausdorff, Hausdorff~ and uniform metric.

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On the extension of the compositional ru
On the extension of the compositional rule of inference
✍ D. Ruan; E. E. Kerre 📂 Article 📅 1993 🏛 John Wiley and Sons 🌐 English ⚖ 461 KB

In this article we introduce an extension of Zadeh's compositional rule of inference in terms of the general rule of inference using a triangular norm extended to n arguments. Using this extension, all inferences schemes, crisp as well as fuzzy, based on the compositional rule of inference can be ob