From the common-sense viewpoint, if a person who weighs around 100 kilograms gains one more kilogram, his weight is still around 100 kilograms. Alas, not so in traditional fuzzy arithmetic. In this paper, we propose a modification of fuzzy arithmetic which does have this property. We gain the desired property, but there is no free lunch - we have to lose two important properties of the traditional fuzzy arithmetic: first, addition is no longer always associative; second, addition is no longer always easily computable.
George A. Bray, Claude Bouchard, Timothy S. Church, William T. Cefalu, Frank L. Greenway, Alok Gupta, Lee M. Kaplan, Éric Ravussin, Steven R. Smith, Donna H. Ryan
Jon E. Grant, Murad Atmaca, Naomi Fineberg, Leonardo F. Fontenelle, Hisato Matsunaga, Y. C. Janardhan Reddy, H. Blair Simpson, Per Hove Thomsen, Odile A. van den Heuvel, David Veale, Douglas W. Woods, Dan Joseph Stein
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