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Orders, description and roles : in set theory, lattices, ordered groups, topology, theory of models and relations, combinatorics, effectiveness, social sciences / eds. Maurice Pouzet, Denis Richard
Orders, description and roles : in set theory, lattices, ordered groups, topology, theory of models and relations, combinatorics, effectiveness, social sciences / eds. Maurice Pouzet, Denis Richard
Autore Pouzet, Maurice
Pubbl/distr/stampa Amsterdam ; New York : Elsevier Science, 1984
Descrizione fisica p. 548 ; 24 cm
Disciplina 511.32
Altri autori (Persone) Richard, Denisauthor
Collana Annals of discrete mathematics ; 23
North-Holland mathematics studies, 0304-0208 ; 99
Soggetto topico Ordered sets - Congresses
ISBN 0444876014
Classificazione AMS 03C
AMS 06-06
AMS 06-XX
AMS 06A
AMS 06B
AMS 06F
QA171.48
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991001210979707536
Pouzet, Maurice  
Amsterdam ; New York : Elsevier Science, 1984
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An outline of set theory / James M. Henle
An outline of set theory / James M. Henle
Autore Henle, James M.
Pubbl/distr/stampa New York : Springer-Verlag, c1986
Descrizione fisica viii, 145 p. : ill. ; 24 cm.
Disciplina 511.32
Collana Problem books in mathematics, 0941-3502
Soggetto topico Set theory
Symbolic and mathematical logic
ISBN 0387963685
Classificazione AMS 03-01
AMS 03E20
QA248.H43
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991001216409707536
Henle, James M.  
New York : Springer-Verlag, c1986
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Poset Codes: Partial Orders, Metrics and Coding Theory [[electronic resource] /] / by Marcelo Firer, Marcelo Muniz S. Alves, Jerry Anderson Pinheiro, Luciano Panek
Poset Codes: Partial Orders, Metrics and Coding Theory [[electronic resource] /] / by Marcelo Firer, Marcelo Muniz S. Alves, Jerry Anderson Pinheiro, Luciano Panek
Autore Firer Marcelo
Edizione [1st ed. 2018.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018
Descrizione fisica 1 online resource (127 pages)
Disciplina 511.32
Collana SpringerBriefs in Mathematics
Soggetto topico Algebra
Ordered algebraic structures
Coding theory
Information theory
Convex geometry 
Discrete geometry
Number theory
Order, Lattices, Ordered Algebraic Structures
Coding and Information Theory
Convex and Discrete Geometry
Number Theory
ISBN 3-319-93821-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Chapter 01- Introduction -- Chapter 02- Basic concepts of coding theory -- Chapter 03- Poset metrics -- Chapter 04- Hierarquical posets -- Chapter 05- Disjoint chains with equal length -- Chapter 06- The general case: Coding invariants -- Chapter 07- Duality -- Chapter 08- Generalizations.
Record Nr. UNINA-9910300099403321
Firer Marcelo  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018
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Possibility theory : an approach to computerized processing of uncertainty / Didier Dubois and Henri Prade ; with the collaboration of Henri Farreny, Roger Martin-Clouaire and Claudette Testemale ; translated by E. F. Harding in association with 1. ed
Possibility theory : an approach to computerized processing of uncertainty / Didier Dubois and Henri Prade ; with the collaboration of Henri Farreny, Roger Martin-Clouaire and Claudette Testemale ; translated by E. F. Harding in association with 1. ed
Autore Dubois, Didier
Pubbl/distr/stampa New York ; London, : Plenum Press, copyr. 1988
Descrizione fisica XVI, 263 p. ; 24 cm.
Disciplina 511.32
Altri autori (Persone) Prade, Henri
ISBN 0306425203
9781468452891
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Titolo uniforme
Record Nr. UNICAS-PUV0077408
Dubois, Didier  
New York ; London, : Plenum Press, copyr. 1988
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Principes et applications de l'analyse booléenne / Carvallo Michel
Principes et applications de l'analyse booléenne / Carvallo Michel
Autore CARVALLO, Michel
Pubbl/distr/stampa Paris : Gauthier-Villars, 1965
Descrizione fisica XIV, 152 p. ; 24 cm
Disciplina 511.32
Collana Collection de mathématiques économiques
Soggetto topico Teoria degli insiemi
Algebra booleana
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione fre
Record Nr. UNISA-990003227920203316
CARVALLO, Michel  
Paris : Gauthier-Villars, 1965
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Proper and improper forcing / Saharon Shelah
Proper and improper forcing / Saharon Shelah
Autore Shelah, Saharon
Edizione [2. ed.]
Pubbl/distr/stampa Berlin [etc.] : Springer, c1998
Descrizione fisica XLVII, 1020 p. ; 24 cm.
Disciplina 511.32
Collana Perspectives in Mathematical Logic
Soggetto topico Insiemi - Teoria
Logica matematica
ISBN 3-540-51700-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNIBAS-000011100
Shelah, Saharon  
Berlin [etc.] : Springer, c1998
Materiale a stampa
Lo trovi qui: Univ. della Basilicata
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Reasoning with Rough Sets [[electronic resource] ] : Logical Approaches to Granularity-Based Framework / / by Seiki Akama, Tetsuya Murai, Yasuo Kudo
Reasoning with Rough Sets [[electronic resource] ] : Logical Approaches to Granularity-Based Framework / / by Seiki Akama, Tetsuya Murai, Yasuo Kudo
Autore Akama Seiki
Edizione [1st ed. 2018.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018
Descrizione fisica 1 online resource (X, 201 p. 12 illus., 7 illus. in color.)
Disciplina 511.32
Collana Intelligent Systems Reference Library
Soggetto topico Computational intelligence
Artificial intelligence
Computational Intelligence
Artificial Intelligence
ISBN 3-319-72691-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910299579803321
Akama Seiki  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018
Materiale a stampa
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Rough Sets : International Joint Conference, IJCRS 2023, Krakow, Poland, October 5-8, 2023, Proceedings / / Andrea Campagner [and five others], editors
Rough Sets : International Joint Conference, IJCRS 2023, Krakow, Poland, October 5-8, 2023, Proceedings / / Andrea Campagner [and five others], editors
Edizione [First edition.]
Pubbl/distr/stampa Cham, Switzerland : , : Springer, , [2023]
Descrizione fisica 1 online resource (686 pages)
Disciplina 511.32
Collana Lecture Notes in Computer Science Series
Soggetto topico Rough sets
ISBN 3-031-50959-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Intro -- Preface -- Organization -- Anniversary Talk -- Rough Sets in Interactive Granular Computing: Toward Foundations for Intelligent Systems Interacting with Human Experts and Complex Phenomena -- Keynote Lectures -- Rough-Calculus and Numerical Analysis - A Mathematical Foundation -- Can AI and Big Data Methods Really Help in Cyber Security? -- Applications of Tolerance-based Granular Methods (Extended Abstract) -- Role of Color in Histological Image Analysis: Rough-Fuzzy Computing to Deep Learning -- Big Data Intelligence: Challenges and Our Solutions -- Knowledge Engineering in Food Computing \mdash Selected Problems and Applications (Extended Abstract) -- Model-agnostic Explanations of Black-box Prediction Models using Rough Sets - The Case of Post-Competition Analytics at KnowledgePit.ai (Keynote Abstract) -- Contents -- Rough Set Models -- Selected Approaches to Conflict Analysis Inspired by the Pawlak Model - Case Study -- 1 Introduction -- 2 Literature Review -- 3 Conflict Analysis Models - Case Study -- 3.1 Conflict Analysis Using the Pawlak Model and the Distance Function -- 3.2 Conflict Analysis Using the Pawlak Model and the Conflict Function -- 3.3 Conflict Analysis Using Hierarchical Clustering for Determining Disjoint Clusters -- 3.4 Conflict Analysis Using Negotiations Stage -- 3.5 Consensus Model -- 4 Comparison and Application Areas -- 5 Conclusions -- References -- Multi-heuristic Induction of Decision Rules -- 1 Introduction -- 2 Decision Rules -- 2.1 Heuristics for Induction of Decision Rules -- 2.2 Decision Rules Derived from Decision Trees -- 3 Global Optimization -- 4 Experimental Results -- 5 Conclusions -- References -- Algebraic Formulations and Geometric Interpretations of Decision-Theoretic Rough Sets -- 1 Introduction -- 2 Algebraic Formulations -- 2.1 Bayesian Decision Procedure -- 2.2 Two-Way Classification.
2.3 Three-Way Classification -- 3 Geometric Interpretations -- 3.1 Geometric Interpretation of the Bayesian Classification -- 3.2 Geometric Interpretation of Two-Way Classification -- 3.3 Geometric Interpretation of Three-Way Classification -- 4 Conclusions -- References -- Reduction of Binary Attributes: Rough Set Theory Versus Formal Concept Analysis -- 1 Introduction -- 2 Rudiments of Rough Sets and Formal Concept Analysis -- 2.1 Elements of Rough Set Theory -- 2.2 Elements of Formal Concept Analysis -- 3 Set Spaces - A Platform for Comparison of RST and FCA -- 4 Reduction of Binary Attributes in RST and Reduction of Attributes in FCA - A Comparison -- 5 Conclusions -- References -- An Acceleration Method for Attribute Reduction Based on Attribute Synthesis -- 1 Introduction -- 2 Preliminaries -- 2.1 Neighborhood Rough Set -- 2.2 Attribute Reduction -- 3 Reduction Based on Attribute Synthesis -- 4 Experimental Analysis -- 4.1 Time Consumption Comparison -- 4.2 Classification Accuracy Comparison -- 5 Conclusions and Future Perspectives -- References -- Attribute Reduction Based on the Multi-annulus Model -- 1 Introduction -- 2 Construction of Multi-annulus Model -- 3 Attribute Reduction Based on the Multi-annulus Model -- 4 Experiments -- 4.1 Datasets -- 4.2 Time Consumption Comparison -- 4.3 Classification Accuracy -- 4.4 Parameter Sensitivity -- 4.5 Conclusion -- References -- Foundations -- Deterministic and Nondeterministic Decision Trees for Decision Tables with Many-Valued Decisions from Closed Classes -- 1 Introduction -- 2 Main Definitions and Notation -- 2.1 Decision Tables -- 2.2 Deterministic and Nondeterministic Decision Trees -- 2.3 Complexity Measures -- 2.4 Parameters of Decision Trees and Tables -- 3 Main Results -- 3.1 Function F,A -- 3.2 Function G,A -- 3.3 Function H,A -- 3.4 Family of Closed Classes of Decision Tables.
3.5 Example of Information System -- 4 Conclusions -- References -- Paraconsistent Logics: A Survey Focussing on the Rough Set Approach -- 1 Introduction -- 2 Different Approaches to Paraconsistency -- 2.1 The 3-Valued Approach -- 2.2 Non-adjunctive Approach -- 2.3 Non-truth Functional Approach -- 2.4 Transformation Approach -- 2.5 Logics of Formal Inconsistency -- 2.6 Adaptive Approach -- 2.7 Relevance Approach -- 2.8 Rough Set Approach -- 3 Some New Paraconsistent Logics -- 3.1 The Systems Lri -- 3.2 Paraconsistency of Lr5 -- 4 Conclusions -- References -- Hexagons of Opposition in Linguistic Three-Way Decisions -- 1 Introduction -- 2 Preliminaries -- 2.1 Three-Way Decisions with Evaluative Linguistic Expressions -- 2.2 Hexagons of Opposition -- 3 Hexagons of Opposition in Linguistic Three-Way Decisions -- 3.1 Hexagons of Opposition with Evaluative Linguistic Expressions -- 3.2 Comparing Hexagon of Oppositions -- 3.3 Discussion on the Logical Relations Between Hexagons -- 4 Conclusions -- References -- Algebraic Models for Qualified Aggregation in General Rough Sets, and Reasoning Bias Discovery -- 1 Introduction -- 2 Background -- 2.1 T-Norms, S-Norms, Uninorms, and Implications -- 2.2 Implication Operations -- 3 Model of Rough Skeptic and Pessimistic Reasoning -- 3.1 Implications -- 3.2 Concrete and Abstract Algebraic Models -- 4 Illustrative Examples -- 4.1 Abstract Example -- 4.2 Detection of Reasoning and Algorithm Bias -- 5 Skeptical Aggregation and Rough Dependence -- 6 Directions -- References -- Two-Sorted Modal Logic for Formal and Rough Concepts -- 1 Introduction -- 1.1 Many-Sorted Polyadic Modal Logic -- 2 Two-Sorted Modal Logic and Concept Lattices -- 2.1 Two-Sorted Modal Logic and Concept Lattices in Rough Set Theory -- 2.2 Two Sorted Modal Logic and Concept Lattice in Formal Concept Analysis.
3 Logical Representation of Three Concept Lattices -- 4 Conclusion and Future Direction -- References -- Kryszkiewicz's Relation for Indiscernibility of Objects in Data Tables Containing Missing Values -- 1 Introduction -- 2 Pawlak's Approach -- 3 Lipski's Approach -- 3.1 Possible Tables and Possible Indiscernibility Relations -- 3.2 Possible Equivalence Classes -- 3.3 Aggregation of Possible Indiscernibility Relations -- 3.4 Lower and Upper Bounds of the Actual Approximations -- 4 Kryszkiewicz's Relation for Indiscernibility of Objects -- 5 Relationship Between Kryszkiewicz's Approach and Lipski's Approach -- 6 Conclusions -- References -- Algebraic, Topological, and Mereological Foundations of Existential Granules -- 1 Introduction -- 2 Background -- 2.1 Topological Vector Spaces -- 2.2 Partial Algebraic Systems -- 3 Existential Granular K-Means Algorithm -- 3.1 Partial Algebras for BKM Variants -- 4 The Granular Ball Methodologies -- 4.1 Fixing the Mathematics -- 5 Existential Granulations -- 5.1 Clean Rough Randomness and Models of Algorithms -- 5.2 Formalizing the BKM Algorithms -- 6 Further Directions -- References -- Aggregation Operators on Shadowed Sets Deriving from Conditional Events and Consensus Operators -- 1 Introduction -- 2 Preliminaries -- 2.1 Shadowed Sets -- 2.2 Aggregation Functions -- 3 How to Aggregate Shadowed Sets -- 3.1 Using Operations on Conditional Events -- 3.2 Using Orthopair-Like Operations -- 4 Aggregation Functions Generating Operations on Shadowed Sets -- 4.1 Aggregation Functions Generating Conditional-Event Conjunctions on Shadowed Sets -- 4.2 Aggregation Functions Generating Conditional-Event Disjunctions on Shadowed Sets -- 4.3 Aggregation Functions Generating *C -- 5 Conclusions and Future Works -- References -- Pawlak, Belnap and the Magical Number Seven -- 1 Introduction.
2 The Pawlak-Brouwer-Zadeh Distributive de Morgan Lattices and Indiscernibility-Based Rough Set Theory -- 2.1 Pawlak-Brouwer-Zadeh Lattices and Rough Set Theory -- 3 The Seven-Valued Logic of the Pawlak-Brouwer-Zadeh Lattice -- 4 Conclusions -- References -- Three-way Decisions -- Three-Way Conflict Analysis for Three-Valued Situation Tables with Rankings and Reference Tuples -- 1 Introduction -- 2 Preliminaries -- 3 Three-Way Conflict Analysis Models by Considering Rankings and Reference Tuples -- 3.1 Two Rankings of Issue Sets and Two Reference Tuples -- 3.2 Alliance and Conflict Measures with Weight Factors -- 4 An Example -- 5 Conclusion and Future Work -- References -- Three-Way Social Network Analysis: Triadic Measures at Three Levels -- 1 Introduction -- 2 A Tri-Level Framework of Triadic Measures -- 2.1 Triadic Measures of Centrality at the Node-Level -- 2.2 Triadic Measures of Importance at the Community-Level -- 2.3 Triadic Measures of Community-Importance at the Network-Level -- 3 Two Examples -- 4 Conclusion -- References -- Cognitive and Social Decision Making: Three-Way Decision Perspectives -- 1 Introduction -- 2 Three-Way Decision, Tri-Level Thinking, and SMV Spaces -- 2.1 An Overview of Three-Way Decision -- 2.2 Tri-Level Thinking and SMV Spaces -- 3 Three Perspectives on Cognitive and Social Decision Making -- 3.1 Research Framework Perspective -- 3.2 Social Hierarchy Perspective -- 3.3 Intelligence and Intelligent Systems Perspective -- 4 Concluding Remarks and Future Research Challenges -- References -- New Models of Three-Way Conflict Analysis for Incomplete Situation Tables -- 1 Introduction -- 2 Preliminaries -- 3 Three-Way Conflict Analysis Models for Incomplete Information Situation Tables -- 4 An Application of the Three-Way Conflict Analysis Model -- 5 Conclusion -- References -- Granular-Ball Three-Way Decision.
1 Introduction.
Record Nr. UNISA-996574257203316
Cham, Switzerland : , : Springer, , [2023]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Rough Sets : International Joint Conference, IJCRS 2023, Krakow, Poland, October 5-8, 2023, Proceedings / / Andrea Campagner [and five others], editors
Rough Sets : International Joint Conference, IJCRS 2023, Krakow, Poland, October 5-8, 2023, Proceedings / / Andrea Campagner [and five others], editors
Edizione [First edition.]
Pubbl/distr/stampa Cham, Switzerland : , : Springer, , [2023]
Descrizione fisica 1 online resource (686 pages)
Disciplina 511.32
Collana Lecture Notes in Computer Science Series
Soggetto topico Rough sets
ISBN 3-031-50959-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Intro -- Preface -- Organization -- Anniversary Talk -- Rough Sets in Interactive Granular Computing: Toward Foundations for Intelligent Systems Interacting with Human Experts and Complex Phenomena -- Keynote Lectures -- Rough-Calculus and Numerical Analysis - A Mathematical Foundation -- Can AI and Big Data Methods Really Help in Cyber Security? -- Applications of Tolerance-based Granular Methods (Extended Abstract) -- Role of Color in Histological Image Analysis: Rough-Fuzzy Computing to Deep Learning -- Big Data Intelligence: Challenges and Our Solutions -- Knowledge Engineering in Food Computing \mdash Selected Problems and Applications (Extended Abstract) -- Model-agnostic Explanations of Black-box Prediction Models using Rough Sets - The Case of Post-Competition Analytics at KnowledgePit.ai (Keynote Abstract) -- Contents -- Rough Set Models -- Selected Approaches to Conflict Analysis Inspired by the Pawlak Model - Case Study -- 1 Introduction -- 2 Literature Review -- 3 Conflict Analysis Models - Case Study -- 3.1 Conflict Analysis Using the Pawlak Model and the Distance Function -- 3.2 Conflict Analysis Using the Pawlak Model and the Conflict Function -- 3.3 Conflict Analysis Using Hierarchical Clustering for Determining Disjoint Clusters -- 3.4 Conflict Analysis Using Negotiations Stage -- 3.5 Consensus Model -- 4 Comparison and Application Areas -- 5 Conclusions -- References -- Multi-heuristic Induction of Decision Rules -- 1 Introduction -- 2 Decision Rules -- 2.1 Heuristics for Induction of Decision Rules -- 2.2 Decision Rules Derived from Decision Trees -- 3 Global Optimization -- 4 Experimental Results -- 5 Conclusions -- References -- Algebraic Formulations and Geometric Interpretations of Decision-Theoretic Rough Sets -- 1 Introduction -- 2 Algebraic Formulations -- 2.1 Bayesian Decision Procedure -- 2.2 Two-Way Classification.
2.3 Three-Way Classification -- 3 Geometric Interpretations -- 3.1 Geometric Interpretation of the Bayesian Classification -- 3.2 Geometric Interpretation of Two-Way Classification -- 3.3 Geometric Interpretation of Three-Way Classification -- 4 Conclusions -- References -- Reduction of Binary Attributes: Rough Set Theory Versus Formal Concept Analysis -- 1 Introduction -- 2 Rudiments of Rough Sets and Formal Concept Analysis -- 2.1 Elements of Rough Set Theory -- 2.2 Elements of Formal Concept Analysis -- 3 Set Spaces - A Platform for Comparison of RST and FCA -- 4 Reduction of Binary Attributes in RST and Reduction of Attributes in FCA - A Comparison -- 5 Conclusions -- References -- An Acceleration Method for Attribute Reduction Based on Attribute Synthesis -- 1 Introduction -- 2 Preliminaries -- 2.1 Neighborhood Rough Set -- 2.2 Attribute Reduction -- 3 Reduction Based on Attribute Synthesis -- 4 Experimental Analysis -- 4.1 Time Consumption Comparison -- 4.2 Classification Accuracy Comparison -- 5 Conclusions and Future Perspectives -- References -- Attribute Reduction Based on the Multi-annulus Model -- 1 Introduction -- 2 Construction of Multi-annulus Model -- 3 Attribute Reduction Based on the Multi-annulus Model -- 4 Experiments -- 4.1 Datasets -- 4.2 Time Consumption Comparison -- 4.3 Classification Accuracy -- 4.4 Parameter Sensitivity -- 4.5 Conclusion -- References -- Foundations -- Deterministic and Nondeterministic Decision Trees for Decision Tables with Many-Valued Decisions from Closed Classes -- 1 Introduction -- 2 Main Definitions and Notation -- 2.1 Decision Tables -- 2.2 Deterministic and Nondeterministic Decision Trees -- 2.3 Complexity Measures -- 2.4 Parameters of Decision Trees and Tables -- 3 Main Results -- 3.1 Function F,A -- 3.2 Function G,A -- 3.3 Function H,A -- 3.4 Family of Closed Classes of Decision Tables.
3.5 Example of Information System -- 4 Conclusions -- References -- Paraconsistent Logics: A Survey Focussing on the Rough Set Approach -- 1 Introduction -- 2 Different Approaches to Paraconsistency -- 2.1 The 3-Valued Approach -- 2.2 Non-adjunctive Approach -- 2.3 Non-truth Functional Approach -- 2.4 Transformation Approach -- 2.5 Logics of Formal Inconsistency -- 2.6 Adaptive Approach -- 2.7 Relevance Approach -- 2.8 Rough Set Approach -- 3 Some New Paraconsistent Logics -- 3.1 The Systems Lri -- 3.2 Paraconsistency of Lr5 -- 4 Conclusions -- References -- Hexagons of Opposition in Linguistic Three-Way Decisions -- 1 Introduction -- 2 Preliminaries -- 2.1 Three-Way Decisions with Evaluative Linguistic Expressions -- 2.2 Hexagons of Opposition -- 3 Hexagons of Opposition in Linguistic Three-Way Decisions -- 3.1 Hexagons of Opposition with Evaluative Linguistic Expressions -- 3.2 Comparing Hexagon of Oppositions -- 3.3 Discussion on the Logical Relations Between Hexagons -- 4 Conclusions -- References -- Algebraic Models for Qualified Aggregation in General Rough Sets, and Reasoning Bias Discovery -- 1 Introduction -- 2 Background -- 2.1 T-Norms, S-Norms, Uninorms, and Implications -- 2.2 Implication Operations -- 3 Model of Rough Skeptic and Pessimistic Reasoning -- 3.1 Implications -- 3.2 Concrete and Abstract Algebraic Models -- 4 Illustrative Examples -- 4.1 Abstract Example -- 4.2 Detection of Reasoning and Algorithm Bias -- 5 Skeptical Aggregation and Rough Dependence -- 6 Directions -- References -- Two-Sorted Modal Logic for Formal and Rough Concepts -- 1 Introduction -- 1.1 Many-Sorted Polyadic Modal Logic -- 2 Two-Sorted Modal Logic and Concept Lattices -- 2.1 Two-Sorted Modal Logic and Concept Lattices in Rough Set Theory -- 2.2 Two Sorted Modal Logic and Concept Lattice in Formal Concept Analysis.
3 Logical Representation of Three Concept Lattices -- 4 Conclusion and Future Direction -- References -- Kryszkiewicz's Relation for Indiscernibility of Objects in Data Tables Containing Missing Values -- 1 Introduction -- 2 Pawlak's Approach -- 3 Lipski's Approach -- 3.1 Possible Tables and Possible Indiscernibility Relations -- 3.2 Possible Equivalence Classes -- 3.3 Aggregation of Possible Indiscernibility Relations -- 3.4 Lower and Upper Bounds of the Actual Approximations -- 4 Kryszkiewicz's Relation for Indiscernibility of Objects -- 5 Relationship Between Kryszkiewicz's Approach and Lipski's Approach -- 6 Conclusions -- References -- Algebraic, Topological, and Mereological Foundations of Existential Granules -- 1 Introduction -- 2 Background -- 2.1 Topological Vector Spaces -- 2.2 Partial Algebraic Systems -- 3 Existential Granular K-Means Algorithm -- 3.1 Partial Algebras for BKM Variants -- 4 The Granular Ball Methodologies -- 4.1 Fixing the Mathematics -- 5 Existential Granulations -- 5.1 Clean Rough Randomness and Models of Algorithms -- 5.2 Formalizing the BKM Algorithms -- 6 Further Directions -- References -- Aggregation Operators on Shadowed Sets Deriving from Conditional Events and Consensus Operators -- 1 Introduction -- 2 Preliminaries -- 2.1 Shadowed Sets -- 2.2 Aggregation Functions -- 3 How to Aggregate Shadowed Sets -- 3.1 Using Operations on Conditional Events -- 3.2 Using Orthopair-Like Operations -- 4 Aggregation Functions Generating Operations on Shadowed Sets -- 4.1 Aggregation Functions Generating Conditional-Event Conjunctions on Shadowed Sets -- 4.2 Aggregation Functions Generating Conditional-Event Disjunctions on Shadowed Sets -- 4.3 Aggregation Functions Generating *C -- 5 Conclusions and Future Works -- References -- Pawlak, Belnap and the Magical Number Seven -- 1 Introduction.
2 The Pawlak-Brouwer-Zadeh Distributive de Morgan Lattices and Indiscernibility-Based Rough Set Theory -- 2.1 Pawlak-Brouwer-Zadeh Lattices and Rough Set Theory -- 3 The Seven-Valued Logic of the Pawlak-Brouwer-Zadeh Lattice -- 4 Conclusions -- References -- Three-way Decisions -- Three-Way Conflict Analysis for Three-Valued Situation Tables with Rankings and Reference Tuples -- 1 Introduction -- 2 Preliminaries -- 3 Three-Way Conflict Analysis Models by Considering Rankings and Reference Tuples -- 3.1 Two Rankings of Issue Sets and Two Reference Tuples -- 3.2 Alliance and Conflict Measures with Weight Factors -- 4 An Example -- 5 Conclusion and Future Work -- References -- Three-Way Social Network Analysis: Triadic Measures at Three Levels -- 1 Introduction -- 2 A Tri-Level Framework of Triadic Measures -- 2.1 Triadic Measures of Centrality at the Node-Level -- 2.2 Triadic Measures of Importance at the Community-Level -- 2.3 Triadic Measures of Community-Importance at the Network-Level -- 3 Two Examples -- 4 Conclusion -- References -- Cognitive and Social Decision Making: Three-Way Decision Perspectives -- 1 Introduction -- 2 Three-Way Decision, Tri-Level Thinking, and SMV Spaces -- 2.1 An Overview of Three-Way Decision -- 2.2 Tri-Level Thinking and SMV Spaces -- 3 Three Perspectives on Cognitive and Social Decision Making -- 3.1 Research Framework Perspective -- 3.2 Social Hierarchy Perspective -- 3.3 Intelligence and Intelligent Systems Perspective -- 4 Concluding Remarks and Future Research Challenges -- References -- New Models of Three-Way Conflict Analysis for Incomplete Situation Tables -- 1 Introduction -- 2 Preliminaries -- 3 Three-Way Conflict Analysis Models for Incomplete Information Situation Tables -- 4 An Application of the Three-Way Conflict Analysis Model -- 5 Conclusion -- References -- Granular-Ball Three-Way Decision.
1 Introduction.
Record Nr. UNINA-9910799251403321
Cham, Switzerland : , : Springer, , [2023]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Rough sets : international joint conference, IJCRS 2022, Suzhou, China, November 11-14, 2022, proceedings / / edited by JingTao Yao [and five others]
Rough sets : international joint conference, IJCRS 2022, Suzhou, China, November 11-14, 2022, proceedings / / edited by JingTao Yao [and five others]
Pubbl/distr/stampa Cham, Switzerland : , : Springer, , [2022]
Descrizione fisica 1 online resource (445 pages)
Disciplina 511.32
Collana Lecture Notes in Computer Science Ser.
Soggetto topico Rough sets
ISBN 3-031-21244-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910629283103321
Cham, Switzerland : , : Springer, , [2022]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui