crisp set


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crisp set

[¦krisp ′set]
(mathematics)
A conventional set, wherein the degree of membership of any object in the set is either 0 or 1.
References in periodicals archive ?
(1) For A(x) = <[1,1], [0,0]> or A(x) = <[0, 0], [1,1]> [for all]x [member of] X, i.e., if A is a crisp set, then, from Definition 13 we have [d.sub.FZ](A, [F.sub.X]) = 1/2.
Every fuzzy set A can be associated to a collection of crisp sets known as [alpha]-cuts (alpha-cuts) or [alpha]-level sets.
1) Neutrosophic Crisp Set with Type I if it satisfies [A.sub.1] [intersection] [A.sub.2] = [phi], [A.sub.1] [intersection] [A.sub.3] = [phi] and [A.sub.2] [intersection] [A.sub.3] = [phi] (NCS-Type I for short).
For a crisp set A, that is, [[mu].sub.A] (x) = [1, 1], [v.sub.A] (x) = [0, 0] or [[mu].sub.A] (x) = [0,0], [v.sub.A] (x) = [1,1] for all x [member of] X, we can calculate [[PSI].sub.A] (x) = 0, [[DELTA].sub.A] (x) = 1 for all x [member of] X.
The other strategy is to try to find a crisp set in the [alpha]-cut sets, which has the same Steiner point with the fuzzy set.
Observe that in the case of crisp set, the membership function can only takes the extreme values of the interval [0,1].
Peel of skin and separate onion layers, discarding first few Dry remaining onion layers in dehydrator or oven set to lowest temperature for three hours or until darkened and crisp Set aside in airtight container.
In Section 3, a crisp set approximation of a fuzzy number is obtained.
Therefore, 0 [less than or equal to] [alpha]D [less than or equal to] 1, if [alpha]D(X) = 1, X it is a definable set regarding the attributes B, that is, X is crisp set. If [alpha]D(X) < 1, X is rough set regarding the attributes D.
The guideline on 'Diagnostic testing in allergy' by Motala and Hawarden (1) on behalf of the Allergy Society of South Africa provides a crisp set of definitions of atopy and of allergy and briefly outlines their diseases.
So, with a crisp set of freshly-ironed tenners and a determination to find them a new home, we approached Cafe Vaudeville with its ominous neo-classical grey walls, which paint colour guides would classify as hint of doom.
The crisp set and Boolean logic approach as presented by Ragin (1987) and others (Alasuutari, 1995) is based on the qualitative tradition of focusing on cases and conditions within the cases and then using Boolean algebra to look at all the configuration of conditions to test relationships with specific outcomes.