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Operations on fuzzy numbers via fuzzy reasoning

โœ Scribed by Dimitar P. Filev; Ronald R. Yager

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

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๐Ÿ“œ SIMILAR VOLUMES

A note on operations on fuzzy numbers
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The note gives a counterexample showing that Theorem 1 of Dubois and Prade (Fuzzy Sets and Systems 2 (1979) 327-348) is not valid and we point out a slightly stronger condition to correct the result.

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โœ Bernadette Bouchon-Meunier; Olga Kosheleva; Vladik Kreinovich; Hung T. Nguyen ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 659 KB

In standard arithmetic, if we, e.g., accidentally add a wrong number y to the preliminary result x, we can undo this operation by subtracting y from the result x -t-y. In this paper, we prove the following two results: โ€ข First, a similar possibility to invert (undo) addition holds for fuzzy numbers