 UA(X) expresses the grade of membership of element x of X in the fuzzy set A or, in other words, the degree of compatibility of x with the concept represented by the fuzzy set. A fuzzy set A is called normalized when ma\,,fXuA(x) = 1.  Scientific Information Bulletin - 65. lappuse1991Pilnskats - Par šo grāmatu
 | Josiah Lee Auspitz - 742 lapas
...universal set is always crisp (nonfuzzy). The value ^A(X) expresses the grade of membership of element x of X in the fuzzy set A or, in other words, the degree...of x with the concept represented by the fuzzy set. It is easy to see that the concept of a fuzzy set provides a basic mathematical framework for dealing... | |
 | Zhenyuan Wang, George J. Klir - 1992 - 376 lapas
...function within a universal set X. The value fiA(X) expresses the grade of membership of element x of X in the fuzzy set A or, in other words, the degree...represented by the fuzzy set. A fuzzy set A is called regular when fiA(X) = 1 for at least one xe X. For every ae [0, 1], a fuzzy set A yields a crisp (nonfuzzy)... | |
 | Adrian I. Ban, Sorin G. Gal - 2002 - 372 lapas
...defined by a function HA-.X^ [0,1] such that HA (x) expresses the degree of membership of x to A, ie, the degree of compatibility of x with the concept represented by the fuzzy set A. Therefore, HA (x) = 0 means that x is definitely not a member of A and HA ( x ) = 1 means that x is... | |
 | M. Nikravesh, L.A. Zadeh, Fred Aminzadeh - 2003 - 754 lapas
...degree of membership of object (element) x in fuzzy set A. Alternatively, /XA(-X) may be viewed as the degree of compatibility of x with the concept represented by the fuzzy set. A degenerate fuzzy set A in which either MA(*) = 0 or /UA(*) = 1 for all xe X is called a crisp set.... | |
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