@misc{Piegat_Andrzej_A, author={Piegat, Andrzej}, howpublished={online}, publisher={Zielona Góra: Uniwersytet Zielonogórski}, language={eng}, 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.}, type={artykuł}, title={A new definition of the fuzzy set}, keywords={fuzzy set theory, fuzzy arithmetic, possibility}, }