A new definition of the fuzzy set
International Journal of Applied Mathematics and Computer Science, Tome 15 (2005) no. 1, p. 125.

Voir la notice de l'article dans European Digital Mathematics Library

The present fuzzy arithmetic based on Zadeh's possibilistic extension principle and on the classic definition of a fuzzy set has many essential drawbacks. Therefore its application to the solution of practical tasks is limited. In the paper a new definition of the fuzzy set is presented. The definition allows for a considerable fuzziness decrease in the number of arithmetic operations in comparison with the results produced by the present fuzzy arithmetic.
Classification : 68T37, 94D05, 03E72
Mots-clés : fuzzy set theory, possibility, fuzzy arithmetic, fuzzy sets, membership function determination 
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Andrzej Piegat. A new definition of the fuzzy set. International Journal of Applied Mathematics and Computer Science, Tome 15 (2005) no. 1, p. 125. https://geodesic-test.mathdoc.fr/item/IJAMCS_2005__15_1_207721/