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A note to the addition of fuzzy numbers based on a continuous Archimedean T-norm

✍ Scribed by Andrea Marková-Stupňanová

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
285 KB
Volume
91
Category
Article
ISSN
0165-0114

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✦ Synopsis

A simple method of computing the T-sum of special types of fuzzy numbers is introduced. For the Lukasiewicz t-norm TL the proposed method can be applied to the addition of fuzzy numbers with convex membership functions. The classes of fuzzy numbers leading to @-idempotents are studied for continuous t-norms.

📜 SIMILAR VOLUMES

On the sequence of consecutive powers of
On the sequence of consecutive powers of a fuzzy matrix with max-Archimedean-t-norms
✍ Chin-Tzong Pang 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 260 KB

In the literature, the limiting behavior of powers of a fuzzy matrix has been studied with max-product composition. Pang and Guu proposed a simple and e ective characterization for the limiting behavior with the notion of asymptotic period. In this paper, we shall extend Pang and Guu's work to the r