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Fuzzy Relational Systems Book

Fuzzy Relational Systems
Fuzzy Relational Systems, Fuzzy Relational Systems: Foundations and Principles presents a general theory of fuzzy relational systems and concentrates on selected general issues of fuzzy relational modeling in the framework of the developed theory. The text discusses phenomena hidd, Fuzzy Relational Systems has a rating of 3.5 stars
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Fuzzy Relational Systems, Fuzzy Relational Systems: Foundations and Principles presents a general theory of fuzzy relational systems and concentrates on selected general issues of fuzzy relational modeling in the framework of the developed theory. The text discusses phenomena hidd, Fuzzy Relational Systems
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  • Fuzzy Relational Systems
  • Written by author Radim Belohl vek
  • Published by Springer-Verlag New York, LLC, September 2008
  • Fuzzy Relational Systems: Foundations and Principles presents a general theory of fuzzy relational systems and concentrates on selected general issues of fuzzy relational modeling in the framework of the developed theory. The text discusses phenomena hidd
  • Fuzzy Relational Systems: Foundations and Principles presents a general theory of fuzzy relational systems and concentrates on selected general issues of fuzzy relational modeling in the framework of the developed theory. The text discusses phenomena hidd
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Book Categories

Authors

1Preliminaries1
1.1Sets, relations, mappings1
1.2Ordered sets, lattices3
1.3Tolerances, equivalences5
1.4Algebras6
2Fuzzy Approach, Graded Truth, and Structures of Truth Values11
2.1Fuzzy approach: from resolving paradoxes to engineering applications12
2.2Graded truth and structures of truth values25
2.3Residuated lattices27
2.4Residuated lattices and t-norms62
3Fuzzy Structures75
3.1Fuzzy sets and fuzzy relations76
3.2Fuzzy logic: syntax and semantics96
3.3Similarity issues110
3.4Morphisms, products, substructures125
3.5Representation by crisp structures: cutlike semantics154
3.6Algebras with fuzzy equalities159
3.7Many-sorted case173
4Binary Fuzzy Relations181
4.1Operations and properties of binary fuzzy relations182
4.2Similarity: fuzzy equivalences193
4.3Hierarchy: fuzzy order203
5Object-Attribute Fuzzy Relations and Fuzzy Concept Lattices215
5.1Conceptual granulation: fuzzy context, fuzzy concepts, and fuzzy concept lattice215
5.2Similarity and logical precision222
5.3Fuzzy Galois connections244
5.4Main theorem of fuzzy concept lattices261
6Composition and Decomposition of Fuzzy Relations273
6.1Composition of fuzzy relations273
6.2Decomposition: fuzzy relational equations279
7Miscellanea299
7.1Fuzzy closure operators and similarity spaces299
7.2Applications of selected results to some problems and models339
7.3Fuzzy logic with truth degrees in residuated lattices350
References357
Index367


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