Computational aspects of fuzzy arithmetics based on Archimedean t-norms

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Abstract

For fuzzy multiplication and division of (L, R)-numbers we derive approximation formulas by including the exact results using (L, R)-numbers. This permits an error control and meets user's ideas on tractable solutions better than the level sets approach does. As potential application the resolution of linear systems is considered. © 2001 Elsevier Science B.V. All rights reserved.

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Wagenknecht, M., Hampel, R., & Schneider, V. (2001). Computational aspects of fuzzy arithmetics based on Archimedean t-norms. Fuzzy Sets and Systems, 123(1), 49–62. https://doi.org/10.1016/S0165-0114(00)00096-8

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