Publication Date



Technical Report: UTEP-CS-12-22

Short version published in Proceedings of the International Conference "Mathematical Logics and Applications", Yerevan, Armenia, November 1-3, 2012, pp. 70-71; full paper published in Applied Mathematical Science, 2013, Vol. 7, No. 5, pp. 217-228.


In his pioneering papers, Igor Zaslavsky started an algorithmic (constructivist) analysis of fuzzy logic. In this paper, we extend this analysis to fuzzy mathematics and fuzzy data processing. Specifically, we show that the two mathematically equivalent representations of a fuzzy number -- by a membership function and by alpha-cuts -- are not algorithmically equivalent, and only the alpha-cut representation enables us to efficiently process fuzzy data.