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Title Fuzzy approaches for soft computing and approximate reasoning : dedicated to Bernadette Bouchon-Meunier / Marie-Jeanne Lesot, Christophe Marsala, editors
Published Cham : Springer, 2021

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Description 1 online resource (305 pages)
Series Studies in Fuzziness and Soft Computing ; v. 394
Studies in fuzziness and soft computing ; v. 394.
Contents Intro -- Foreword -- Preface -- Contents -- Contributors -- The Fuzzy Theoretic Turn -- Membership Functions -- 1 Introduction -- 2 Mathematical Aspects of Membership Functions -- 2.1 Classical Versus Gradual Properties -- 2.2 Graduality and Partial Pre-orderings -- 2.3 Membership Scale: [0, 1] or Not -- 2.4 Bipolar Scale or Not? -- 2.5 Beyond Scalar Membership Grades -- 3 Finding Membership Grades -- 3.1 Based on Similarity -- 3.2 Fuzzy Sets as Possibility Distributions -- 3.3 Fuzzy Sets in Preference Evaluation -- 4 Concluding Remarks -- References
The Evolution of the Notion of Overlap Functions -- 1 The Origin of the Notion of Overlap Function -- 2 The Mathematical Definition of Overlap Functions -- 3 Overlap Functions Versus Triangular Norms -- 4 n-Dimensional Overlap Functions -- 5 Applications of Overlap Functions -- 6 Conclusions -- References -- Interpolative Reasoning: Valid, Specificity-Gradual and Similarity-Based -- 1 Introduction -- 2 Interpolative Reasoning -- 2.1 Similarity-Based Interpolative Reasoning -- 3 Similarity Based Axioms for Interpolative Reasoning -- 3.1 Behaviour When Observation Equals a Premise of a Known Rule
3.2 Homogeneity of Observation-Premise Specificity with Respect to Conclusions -- 3.3 Monotonicity with Respect to Observation-Conclusion Specificities -- 3.4 Valid Convex Conclusions -- 3.5 Graduality with Respect to Rule's Proximity -- 4 Success and Limitations of Similarity-Based Interpolative Reasoning -- 4.1 Non-convex Solutions -- 4.2 Valid and Specificity-Gradual Solution -- 5 Conclusions -- References -- A Similarity-Based Three-Valued Modal Logic Approach to Reason with Prototypes and Counterexamples -- 1 Introduction
2 Prototypes, Counter-Examples and Borderline Cases: A Simple 3-Valued Model for Gradual Properties -- 2.1 A 3-Valued Approach -- 2.2 A Refresher on 3-Valued Łukasiewicz Logic Ł3 -- 2.3 Dealing with both Prototypes and Counter-Examples: The Logic Łleq3 -- 3 A Similarity-Based Refined Framework -- 4 A Multi-modal Approach to Reason About the Similarity-Based Graded Entailments -- 5 Conclusions and Dedication -- References -- Analogy -- 1 Introducing Analogy as One of Two Main Ways of Thinking -- 2 The Necessity of Fuzzy Logic Computation of Analogical Reasoning and Schemes
3 What Analogy is and What Analogy is Not -- 4 Models of Solving Analogies and Metaphors for Fuzzy Inference Making -- 5 Discussion -- References -- The Role of the Context in Decision and Optimization Problems -- 1 Introduction -- 2 The General Decision Problem -- 3 An Illustrative Example -- 3.1 Induced Framework -- 3.2 Ethical Framework -- 3.3 Sustainability Framework -- 3.4 Corporate Social Responsibility Framework -- 4 Conclusions -- References -- Decision Rules Under Vague and Uncertain Information -- 1 Introduction -- 2 Coherent Conditional Decomposable Measures
Summary This book gathers cutting-edge papers in the area of Computational Intelligence, presented by specialists, and covering all major trends in the research community in order to provide readers with a rich primer. It presents an overview of various soft computing topics and approximate reasoning-based approaches, both from theoretical and applied perspectives. Numerous topics are covered: fundamentals aspects of fuzzy sets theory, reasoning approaches (interpolative, analogical, similarity-based), decision and optimization theory, fuzzy databases, soft machine learning, summarization, interpretability and XAI. Moreover, several application-based papers are included, e.g. on image processing, semantic web and intelligent tutoring systems. This book is dedicated to Bernadette Bouchon-Meunier in honor of her achievements in Computational Intelligence, which, throughout her career, have included profuse and diverse collaborations, both thematically and geographically
Notes Print version record
Online resource; title from PDF title page (SpringerLink, viewed January 21, 2021)
Subject Computational intelligence.
Fuzzy logic.
Computational intelligence
Fuzzy logic
Genre/Form Festschriften
Festschriften.
Form Electronic book
Author Lesot, Marie-Jeanne, 1978-
Marsala, Christophe
ISBN 9783030543419
3030543412