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Book Categories |
1 | Preliminaries | 1 |
1.1 | Sets, relations, mappings | 1 |
1.2 | Ordered sets, lattices | 3 |
1.3 | Tolerances, equivalences | 5 |
1.4 | Algebras | 6 |
2 | Fuzzy Approach, Graded Truth, and Structures of Truth Values | 11 |
2.1 | Fuzzy approach: from resolving paradoxes to engineering applications | 12 |
2.2 | Graded truth and structures of truth values | 25 |
2.3 | Residuated lattices | 27 |
2.4 | Residuated lattices and t-norms | 62 |
3 | Fuzzy Structures | 75 |
3.1 | Fuzzy sets and fuzzy relations | 76 |
3.2 | Fuzzy logic: syntax and semantics | 96 |
3.3 | Similarity issues | 110 |
3.4 | Morphisms, products, substructures | 125 |
3.5 | Representation by crisp structures: cutlike semantics | 154 |
3.6 | Algebras with fuzzy equalities | 159 |
3.7 | Many-sorted case | 173 |
4 | Binary Fuzzy Relations | 181 |
4.1 | Operations and properties of binary fuzzy relations | 182 |
4.2 | Similarity: fuzzy equivalences | 193 |
4.3 | Hierarchy: fuzzy order | 203 |
5 | Object-Attribute Fuzzy Relations and Fuzzy Concept Lattices | 215 |
5.1 | Conceptual granulation: fuzzy context, fuzzy concepts, and fuzzy concept lattice | 215 |
5.2 | Similarity and logical precision | 222 |
5.3 | Fuzzy Galois connections | 244 |
5.4 | Main theorem of fuzzy concept lattices | 261 |
6 | Composition and Decomposition of Fuzzy Relations | 273 |
6.1 | Composition of fuzzy relations | 273 |
6.2 | Decomposition: fuzzy relational equations | 279 |
7 | Miscellanea | 299 |
7.1 | Fuzzy closure operators and similarity spaces | 299 |
7.2 | Applications of selected results to some problems and models | 339 |
7.3 | Fuzzy logic with truth degrees in residuated lattices | 350 |
References | 357 | |
Index | 367 |
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Add 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 to the inventory that you are selling on WonderClubX
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Add 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 to your collection on WonderClub |