“…This book offers a multifaceted perspective on fuzzy set theory, discussing its developments over the last 50 years. …”
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“…It will be useful to researchers and graduate students working in set theory, mathematical logic, and combinatorics.…”
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“…Uncertainty analysis is a vital issue in intelligent information processing, especially in the age of big data. Rough set theory has attracted much attention to this field since it was proposed. …”
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“…In this paper, we maintain that affordances elude a formalization that relies on set theory: we argue that it is not possible to apply set theory to affordances; therefore, we cannot devise a set-based mathematical theory to deduce the diachronic evolution of the biosphere.…”
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“…Adapted from Foundations of Logic and Mathematics: Applications to Science and Cryptography © 2002 Birkhӓuser, this second edition provides a modern introduction to the foundations of logic, mathematics, and computers science, developing the theory that demonstrates construction of all mathematics and theoretical computer science from logic and set theory.  The focus is on foundations, with specific statements of all the associated axioms and rules of logic and set theory, and  provides complete details and derivations of formal proofs. …”
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“…Additionally, the material can also be considered as an introduction to advanced set theory and descriptive set theory. …I hope that this book becomes the right hand of students and researchers in mathematics.” …”
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“…The final part is dedicated to an introduction into modern axiomatic set theory based on the Zermelo’s axioms, containing a presentation of Gödel’s constructible universe of sets. …”
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“…By combining categorical theory with soft set theory, a categorical framework of soft set theory is established. …”
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“…Axiomatic set theory is the concern of this book.…”
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“…Empirically, our work represents the pioneering fusion of rough set theory and transformer networks for point cloud learning. …”
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“…Monograph exploring the connections that forcing makes with descriptive set theory and other areas of mathematics.…”
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“…This book aims to introduce the core model to those with a basic knowledge of axiomatic set theory.…”
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“…The theory set out in this book results from the meeting of descriptive set theory and recursion theory.…”
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“…Fuzzy classifiers use fuzzy rules and do not require assumptions common to statistical classification. Rough set theory is useful when data sets are incomplete. …”
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“…In this paper, we use fuzzy set theory and apply fuzzy clustering analysis in football team ranking. …”
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“…In this study, we propose a variable precision attribute reduct for multilabel data based on rough set theory, called δ-confidence reduct, which can correctly capture the uncertainty implied among labels. …”
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“…Rough set theory has many interesting applications in circumstances characterized by vagueness. …”
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“…In cases in which the variables are inaccurate, this method is used. Fuzzy set theory is a generalization of the set theory. The underground economy is important in estimating the amount of dirty money and has a positive effect on this amount. …”
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