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Set theory
Known as:
Ordinary set theory
, Abstract set theory
, Set
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Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects. Although any type of object can be…
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Related topics
Related topics
50 relations
Access structure
Aronszajn tree
B-Method
Binary tree
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Broader (1)
Formal methods
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2009
Highly Cited
2009
Fuzzy Set
V. Novák
Encyclopedia of Database Systems
2009
Corpus ID: 1375202
Introduction to fuzzy set, topics : classical set theory, fuzzy set theory, crisp and non-crisp Sets representation, capturing…
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Highly Cited
2005
Highly Cited
2005
Interval Neutrosophic Sets and Logic: Theory and Applications in Computing
Haibin Wang
,
F. Smarandache
,
Yanqing Zhang
,
Rajshekhar Sunderraman
arXiv.org
2005
Corpus ID: 5665829
This book presents the advancements and applications of neutrosophics. Chapter 1 first introduces the interval neutrosophic sets…
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Highly Cited
2004
Highly Cited
2004
Concept lattices in rough set theory
Yiyu Yao
IEEE Annual Meeting of the Fuzzy Information…
2004
Corpus ID: 6716057
An alternative formulation of rough set theory can be developed based on a binary relation between two universes, one is a finite…
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Highly Cited
2004
Highly Cited
2004
A Comparative Study of Formal Concept Analysis and Rough Set Theory in Data Analysis
Yiyu Yao
Rough Sets and Current Trends in Computing
2004
Corpus ID: 16167286
The theory of rough sets and formal concept analysis are compared in a common framework based on formal contexts. Different…
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Highly Cited
2004
Highly Cited
2004
The Information Entropy, Rough Entropy And Knowledge Granulation In Rough Set Theory
Jiye Liang
,
Zhongzhi Shi
Int. J. Uncertain. Fuzziness Knowl. Based Syst.
2004
Corpus ID: 44637939
Rough set theory is a relatively new mathematical tool for use in computer applications in circumstances which are characterized…
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Highly Cited
2002
Highly Cited
2002
A new method for measuring uncertainty and fuzziness in rough set theory
Jiye Liang
,
K. Chin
,
C. Dang
,
R. Yam
International Journal of General Systems
2002
Corpus ID: 16060499
Based on the complement behavior of information gain, a new definition of information entropy is proposed along with its…
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Highly Cited
2000
Highly Cited
2000
Multicriteria fuzzy decision-making problems based on vague set theory
D. Hong
,
Chang-Hwan Choi
Fuzzy Sets Syst.
2000
Corpus ID: 7295987
Highly Cited
1998
Highly Cited
1998
Rough Set Theory and its Applications to Data Analysis
Z. Pawlak
Cybernetics and systems
1998
Corpus ID: 10553088
This paper gives basic ideas of rough set theory a new approach to data analysis. The lower and upper approximation of a set, the…
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Highly Cited
1986
Highly Cited
1986
Fuzzy Set Theory in Medical Diagnosis
K. Adlassnig
IEEE Transactions on Systems, Man and Cybernetics
1986
Corpus ID: 20230941
Fuzzy set theory has a number of properties that make it suitable for formalizing the uncertain information upon which medical…
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Highly Cited
1956
Highly Cited
1956
A Partition Calculus in Set Theory
P. Erdös
,
R. Rado
1956
Corpus ID: 15218841
Dedekind’s pigeon-hole principle, also known as the box argument or the chest of drawers argument (Schubfachprinzip) can be…
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