fuzzy set

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fuzzy set

[′fəz·ē ′set]
(mathematics)
An extension of the concept of a set, in which the characteristic function which determines membership of an object in the set is not limited to the two values 1 (for membership in the set) and 0 (for nonmembership), but can take on any value between 0 and 1 as well.
References in periodicals archive ?
Extensions of the TOPSIS for group decision-making under fuzzy environment," Fuzzy Sets Syst, 114(1): 1-9.
Survey of utilisation of fuzzy technology in medicine and healthcare, Fuzzy Sets and Systems, 120, p.
In a single fuzzy system, in order to maintain a specified accuracy, the number of rules grows exponentially with the number of input variables or input fuzzy sets, but the interpretability of the fuzzy system is lost.
Linguistic variables, defined as variables whose values are sentences in a natural language (such as small and large), may be represented by fuzzy sets.
Taking into account the lack of precision of many factors, it is best to use the fuzzy sets theory as the basis of the model.
All the above operators are based on the algebraic operational laws of IFSs for carrying the combination process and are not consistent with the limiting case of ordinary fuzzy sets (Beliakov et al.
Atanassov and Gargov (1989) introduced the concept of interval-valued intuitionistic fuzzy sets (IVIFSs) as a further generalization of that of IFSs, as well as of IVFSs.
The fuzzy-probabilistic information determines the intervals of the probabilistic information in the shape of fuzzy sets or intervals.
With fuzzy sets, things can be a bit in one set and a bit in others as well.
Application of Fuzzy Sets and the Theory of Evidence to Accounting II, Stamford, Connecticut: JAI press Inc.
This paper provides a theoretical foundation for games based on fuzzy rules by developing a static normal-form fuzzy game in which both payoffs and strategies of players are modeled as fuzzy sets.

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