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Paper details
Number 1 - March 2005
Volume 15 - 2005
A new definition of the fuzzy set
Andrzej Piegat
Abstract
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.
Keywords
fuzzy set theory, fuzzy arithmetic, possibility