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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Let (X, [tau]) be NCTS, B, G be a neutrosophic crisp sets of X, then the following properties hold:
Furthermore, throughout the paper, the set of all closed subintervals of [0,1] is denoted by [I], the domain or universe of discourse is denoted by a set X = {[x.sub.1], [x.sub.2], ..., [x.sub.n]], the collection of all the crisp sets is denoted by P(X), and the set of all IVIFSs in X are denoted by IVIF(X).
Every fuzzy set A can be associated to a collection of crisp sets known as [alpha]-cuts (alpha-cuts) or [alpha]-level sets.
In this paper, we introduce and study the probability of neutrosophic crisp sets. After giving the fundamental definitions and operations, we obtain several properties, and discuss the relationship between neutrosophic crisp sets and others.
These types of calculations are in the crisp sets category, where expression is strictly one item is available in a transaction or not.
FUZZY LOGIC SYSTEM: A fuzzy set is an extension of a crisp set. In crisp sets there is only full membership or no membership while fuzzy sets allow partial memberships.
where s is the Steiner point of crisp sets. Then [S.sub.[mu]] is a Steiner point of fuzzy set u.
Fuzzy sets are an extension of the classic notion of sets (Bourbaki, 1968) called, for sake of understanding, crisp sets. A set A of the latter type can be defined, in terms of the membership function, as
With regard to membership of different objects, the sets are classified into two groups: Crisp sets and Fuzzy sets.
Also process the incomplete data is based on the lower and upper approximations and theory was defined as a pair of the two crisp sets to the approximations.
The purpose of this article is not to discourage use of these time honored research strategies, but to suggest the inclusion of a method using crisp sets and Boolean algebra as a research strategy, and to illustrate this method by example, and to discuss how this method can be of value to student affairs researchers.