Foundations of Fuzzy Logic and Soft Computing

1. Front Matter

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2. Relation Between Interval and Fuzzy Techniques

   1. Front Matter

      Pages 1-1

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   2. Estimating Variance Under Interval and Fuzzy Uncertainty: Case of Hierarchical Estimation

      • Gang Xiang, Vladik Kreinovich

      Pages 3-12

   3. Testing Stochastic Arithmetic and CESTAC Method Via Polynomial Computation

      • René Alt, Jean-Luc Lamotte, Svetoslav Markov

      Pages 13-22

   4. Friction Model by Using Fuzzy Differential Equations

      • Barnabás Bede, Imre J. Rudas, János Fodor

      Pages 23-32

   5. From Interval Computations to Constraint-Related Set Computations: Towards Faster Estimation of Statistics and ODEs Under Interval, p-Box, and Fuzzy Uncertainty

      • Martine Ceberio, Vladik Kreinovich, Andrzej Pownuk, Barnabás Bede

      Pages 33-42

   6. Non-commutative System of Fuzzy Interval Logic Generated by the Checklist Paradigm Measure m ₃ Containing Early Zadeh Implication

      • Eunjin Kim, Ladislav J. Kohout

      Pages 43-55

   7. Points with Type-2 Operations

      • Carol L. Walker, Elbert A. Walker

      Pages 56-65

3. Intuitionistic Fuzzy Sets and Their Applications

   1. Front Matter

      Pages 67-67

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   2. Atanassov’s Intuitionistic Fuzzy Sets as a Classification Model

      • J. Montero, D. Gómez, H. Bustince

      Pages 69-75

   3. Classification with Nominal Data Using Intuitionistic Fuzzy Sets

      • Eulalia Szmidt, Janusz Kacprzyk

      Pages 76-85

   4. Intuitionistic Fuzzy Histograms of an Image

      • Ioannis K. Vlachos, George D. Sergiadis

      Pages 86-95

   5. Image Threshold Using A-IFSs Based on Bounded Histograms

      • Pedro Couto, Humberto Bustince, Vitor Filipe, Edurne Barrenechea, Miguel Pagola, Pedro Melo-Pinto

      Pages 96-103

   6. The Role of Entropy in Intuitionistic Fuzzy Contrast Enhancement

      • Ioannis K. Vlachos, George D. Sergiadis

      Pages 104-113

   7. Representation of Rough Sets Based on Intuitionistic Fuzzy Special Sets

      • Zheng Pei, Li Zhang, Honghua Chen

      Pages 114-121

4. The Application of Fuzzy Logic and Soft Computing in Flexible Querying

   1. Front Matter

      Pages 123-123

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   2. Towards Vague Query Answering in Logic Programming for Logic-Based Information Retrieval

      • Umberto Straccia

      Pages 125-134

   3. On Browsing Domain Ontologies for Information Base Content

      • Troels Andreasen, Henrik Bulskov

      Pages 135-144

   4. Fuzzy Tree Mining: Go Soft on Your Nodes

      • Federico Del Razo Lopez, Anne Laurent, Pascal Poncelet, Maguelonne Teisseire

      Pages 145-154

   5. Numerical Properties of Fuzzy Regions: Surface Area

      • Jörg Verstraete, Axel Hallez

      Pages 155-161

This book comprises a selection of papers from IFSA 2007 on new methods and theories that contribute to the foundations of fuzzy logic and soft computing. These papers were selected from over 400 submissions and constitute an imp- tant contribution to the theory and applications of fuzzy logic and soft c- puting methodologies. Soft computing consists of several computing paradigms, including fuzzy logic, neural networks, genetic algorithms, and other techniques, which can be used to produce powerful intelligent systems for solving real-world problems. The papers of IFSA 2007 also make a contribution to this goal. This book is intended to be a major reference for scientists and engineers interested in applying new computational and mathematical tools to achieve intelligent solutions to complex problems. We consider that this book can also be used to get novel ideas for new lines of research, or to continue the lines of research proposed by the authors of the papers contained in the book. The book is divided into 14 main parts.Eachpart contains a set of papers on a common subject, so that the reader can ?nd similar papers grouped together. Some of these parts comprise the papers of organized sessions of IFSA 2007 and we thank the session organizers for their incredible job in forming these sessions with invited and regular paper submissions.

• agents
• algorithms
• data mining
• fuzzy
• fuzzy logic
• fuzzy system
• genetic algorithm
• genetic algorithms
• information processing
• intelligent systems
• knowledge
• logic
• neural network
• optimization
• service-oriented computing

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