„A fuzzy set is a class of objects with a continuum of grades of membership. Such a set is characterized by a membership (characteristic) function which assigns to each object a grade of membership ranging between zero and one. The notions of inclusion, union, intersection, complement, relation, convexity, etc., are extended to such sets, and various properties of these notions in the context of fuzzy sets are established. In particular, a separation theorem for convex fuzzy sets is proved without requiring that the fuzzy sets be disjoint.“

—  Лотфи Заде, p. 338
Лотфи Заде фото
Лотфи Заде1
1921 - 2017

Похожие цитаты

Lotfi A. Zadeh фото
Bill Mollison фото

„"Most biologists," (says Vogel, 1981) "seem to have heard of the boundary layer, but they have a fuzzy notion that it is a discrete region, rather than the discrete notion that it is a fuzzy region."“

—  Bill Mollison Australian permaculturist 1928 - 2016
chapter 4.4 quoting Vogel, Steven, Life in Moving Fluids; the Physical Biology of Flow, Willard Grant Press, Boston, 1981.

Hermann Weyl фото

„It seems clear that [set theory] violates against the essence of the continuum, which, by its very nature, cannot at all be battered into a single set of elements. Not the relationship of an element to a set, but of a part to a whole ought to be taken as a basis for the analysis of a continuum.“

—  Hermann Weyl German mathematician 1885 - 1955
Riemanns geometrische Ideen, ihre Auswirkungen und ihre Verknüpfung mit der Gruppentheorie (1925), as quoted/translated by Erhard Scholz, "Philosophy as a Cultural Resource and Medium of Reflection for Hermann Weyl" (2004)

Grady Booch фото
Steven Wright фото
Robert A. Heinlein фото
Lotfi A. Zadeh фото
Daniel Hannan фото
Ansel Adams фото
Robert Oppenheimer фото
Rudolf E. Kálmán фото
Benjamin Zander фото
Peter F. Drucker фото