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Book Categories |
Foreword | ||
Preface | ||
Acknowledgments | ||
1 | Triangular Operations and Negations (Allegro) | 1 |
1.1 | Triangular Norms and Conorms | 2 |
1.2 | Negations | 4 |
1.3 | Associated Triangular Operations | 5 |
1.4 | Archimedean Triangular Operations | 8 |
1.5 | Induced Negations and Complementary Triangular Operations | 14 |
1.6 | Implications Induced by Triangular Norms | 19 |
2 | Fuzzy Sets (Andante spianato) | 23 |
2.1 | The Concept of a Fuzzy Set | 23 |
2.2 | Operations on Fuzzy Sets | 27 |
2.3 | Generalized Operations | 29 |
2.4 | Other Elements of the Language of Fuzzy Sets | 31 |
2.5 | Towards Cardinalities of Fuzzy Sets | 34 |
3 | Scalar Cardinalities of Fuzzy Sets (Scherzo) | 45 |
3.1 | An Axiomatic Viewpoint | 45 |
3.2 | Cardinality Patterns | 48 |
3.3 | Valuation Property and Subadditivity | 53 |
3.4 | Cartesian Product Rule and Complementarity | 56 |
3.5 | On the Fulfilment of a Group of the Properties | 60 |
4 | Generalized Cardinals with Triangular Norms (Rondeau a la polonaise) | 67 |
4.1 | Generalized FGCounts | 67 |
4.2 | Generalized FLCounts | 124 |
4.3 | Generalized FECounts | 143 |
List of Symbols | 181 | |
Bibliography | 185 | |
Index | 193 |
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Add Cardinalities of Fuzzy Sets, This is the first book presenting cardinality theory of fuzzy sets with triangular norms, including its scalar and fuzzy streams. This theory constitutes not only a powerful basis but also a useful tool for modelling and processing vague and imprecise q, Cardinalities of Fuzzy Sets to the inventory that you are selling on WonderClubX
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Add Cardinalities of Fuzzy Sets, This is the first book presenting cardinality theory of fuzzy sets with triangular norms, including its scalar and fuzzy streams. This theory constitutes not only a powerful basis but also a useful tool for modelling and processing vague and imprecise q, Cardinalities of Fuzzy Sets to your collection on WonderClub |