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A note on triangular norm-based addition of fuzzy intervals

✍ Scribed by Dug Hun Hong

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
94 KB
Volume
17
Category
Article
ISSN
0893-9659

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The strict triangular norm-based addition of fuzzy intervals of L-R type with any left and right spreads is approximated by a necessary and sufficient condition, which generalizes the results about fuzzy numbers of L-R type with common spreads.

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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