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Fuzzy set theory. The concept of fuzzy sets

2015 XVIII International Conference on Soft Computing and Measurements (SCM), 2015
The article provides information about fuzzy sets: its history, definitions, operations. Review of set theory and is accompanied by a choice task, provides a solution to one of the options.
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Fuzzy Probabilistic Sets and r-Fuzzy Sets

2008 Fifth International Conference on Fuzzy Systems and Knowledge Discovery, 2008
In this paper, a connection between the fuzzy probabilistic set and the r-fuzzy set is established. Firstly, a new concept of r-fuzzy nested set is presented and it is pointed that a fuzzy probabilistic set is an equivalent class of a r-fuzzy nested set.
Hongxing Li, Cheng Zhang, Xue-hai Yuan
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Fuzzy rough sets are intuitionistic L-fuzzy sets

Fuzzy Sets and Systems, 1998
The concepts of intuitionistic \(L\)-fuzzy sets (IL-FS) [see \textit{K. Atanassov} and \textit{S. Stoeva}, ``Intuitionistic \(L\)-fuzzy sets'', in: R. Trappl (ed.), Cybernetics and systems research 2, 539-540 (1984; Zbl 0547.03030)], which are extensions of the IFSs [\textit{K. T. Atanassov}, ``Intuitionistic fuzzy sets'', Fuzzy Sets Syst.
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Generalization of fuzzy sets type-2, fuzzy quantifiers sets and α-cut fuzzy sets fuzzy temporal sets, fuzzy granular sets and fuzzy rough sets for incomplete information

2014 International Conference on Fuzzy Theory and Its Applications (iFUZZY2014), 2014
The fuzzy logic deals incomplete information with belief rather than probability. The fuzzy propositions deal with incomplete information. In this paper, a new representation of fizzy set typ-2, fuzzy set α-cut and fuzzy temporal set occurs in fuzzy propositions.
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Fuzzy Set Theory

2017
This entry presents a definition of fuzzy set theory and an overview of some applications to model flexible information retrieval systems. The entry focuses on a description of fuzzy indexing procedures defined to represent the varying significance of terms in synthesizing the documents’ contents, the representation of structured documents so as to ...
Kraft D, Bordogna G, Pasi G
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Introduction to Fuzzy Sets

1985
Most of our traditional tools for formal modeling, reasoning, and computing are crisp, deterministic, and precise in character. By crisp we mean dichotomous, that is, yes-or-no-type rather than more-or-less type. In conventional dual logic, for instance, a statement can be true or false—and nothing in between.
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GENUINE SETS, VARIOUS KINDS OF FUZZY SETS AND FUZZY ROUGH SETS

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2003
In this paper, deriving the type-m fuzzy sets, intuitionistic fuzzy sets, Φ-fuzzy sets, rough sets, fuzzy rough sets and rough fuzzy sets as particular genuine sets, and establishing their connections with genuine sets, it is demonstrated that the theory of genuine sets provides a powerful tool to model various different kinds of uncertainty in a ...
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On fuzzy sets

Mathematica Applicanda, 1981
From the introduction: "The present article is an elementary introduction to the concept of fuzzy sets. There is a bibliography of 30 items.''
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Older adult participation in cancer clinical trials: A systematic review of barriers and interventions

Ca-A Cancer Journal for Clinicians, 2021
Mina S Sedrak, Rachel A Freedman, Aminah Jatoi   +2 more
exaly  

Intuitionistic Fuzzy Sets as a Generalization of Fuzzy Sets

2014
In the mid-1980s Atanassov introduced the concept of an intuitionistic fuzzy set. Basically, his idea was that unlike the conventional fuzzy sets in which imprecision is just modeled by the membership degree from [0,1], and for which the non-membership degree is just automatically the complementation to 1 of the membership degree, in an intuitionistic ...
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