Ebook: On Fuzziness: A Homage to Lotfi A. Zadeh – Volume 2

The notion of Fuzziness stands as one of the really new concepts that have recently enriched the world of Science. Science grows not only through technical and formal advances on one side and useful applications on the other side, but also as consequence of the introduction and assimilation of new concepts in its corpus. These, in turn, produce new developments and applications. And this is what Fuzziness, one of the few new concepts arisen in the XX Century, has been doing so far.

This book aims at paying homage to Professor Lotfi A. Zadeh, the “father of fuzzy logic” and also at giving credit to his exceptional work and personality. In a way, this is reflected in the variety of contributions collected in the book. In some of them the authors chose to speak of personal meetings with Lotfi; in others, they discussed how certain papers of Zadeh were able to open for them a new research horizon. Some contributions documented results obtained from the author/s after taking inspiration from a particular idea of Zadeh, thus implicitly acknowledging him.

Finally, there are contributions of several “third generation fuzzysists or softies” who were firstly led into the world of Fuzziness by a disciple of Lotfi Zadeh, who, following his example, took care of opening for them a new road in science.

Rudolf Seising is Adjoint Researcher at the European Centre for Soft Computing in Mieres, Asturias (Spain).

Enric Trillas and Claudio Moraga are Emeritus Researchers at the European Centre for Soft Computing, Mieres, Asturias (Spain).

Settimo Termini is Professor of Theoretical Computer Science at the University of Palermo, Italy and Affiliated Researcher at the European Centre for Soft Computing, Mieres, Asturias (Spain)

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The notion of Fuzziness stands as one of the really new concepts that have recently enriched the world of Science. Science grows not only through technical and formal advances on one side and useful applications on the other side, but also as consequence of the introduction and assimilation of new concepts in its corpus. These, in turn, produce new developments and applications. And this is what Fuzziness, one of the few new concepts arisen in the XX Century, has been doing so far.

This book aims at paying homage to Professor Lotfi A. Zadeh, the “father of fuzzy logic” and also at giving credit to his exceptional work and personality. In a way, this is reflected in the variety of contributions collected in the book. In some of them the authors chose to speak of personal meetings with Lotfi; in others, they discussed how certain papers of Zadeh were able to open for them a new research horizon. Some contributions documented results obtained from the author/s after taking inspiration from a particular idea of Zadeh, thus implicitly acknowledging him.

Finally, there are contributions of several “third generation fuzzysists or softies” who were firstly led into the world of Fuzziness by a disciple of Lotfi Zadeh, who, following his example, took care of opening for them a new road in science.

Rudolf Seising is Adjoint Researcher at the European Centre for Soft Computing in Mieres, Asturias (Spain).

Enric Trillas and Claudio Moraga are Emeritus Researchers at the European Centre for Soft Computing, Mieres, Asturias (Spain).

Settimo Termini is Professor of Theoretical Computer Science at the University of Palermo, Italy and Affiliated Researcher at the European Centre for Soft Computing, Mieres, Asturias (Spain)

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The notion of Fuzziness stands as one of the really new concepts that have recently enriched the world of Science. Science grows not only through technical and formal advances on one side and useful applications on the other side, but also as consequence of the introduction and assimilation of new concepts in its corpus. These, in turn, produce new developments and applications. And this is what Fuzziness, one of the few new concepts arisen in the XX Century, has been doing so far.

This book aims at paying homage to Professor Lotfi A. Zadeh, the “father of fuzzy logic” and also at giving credit to his exceptional work and personality. In a way, this is reflected in the variety of contributions collected in the book. In some of them the authors chose to speak of personal meetings with Lotfi; in others, they discussed how certain papers of Zadeh were able to open for them a new research horizon. Some contributions documented results obtained from the author/s after taking inspiration from a particular idea of Zadeh, thus implicitly acknowledging him.

Finally, there are contributions of several “third generation fuzzysists or softies” who were firstly led into the world of Fuzziness by a disciple of Lotfi Zadeh, who, following his example, took care of opening for them a new road in science.

Rudolf Seising is Adjoint Researcher at the European Centre for Soft Computing in Mieres, Asturias (Spain).

Enric Trillas and Claudio Moraga are Emeritus Researchers at the European Centre for Soft Computing, Mieres, Asturias (Spain).

Settimo Termini is Professor of Theoretical Computer Science at the University of Palermo, Italy and Affiliated Researcher at the European Centre for Soft Computing, Mieres, Asturias (Spain)
Content:
Front Matter....Pages 1-34
Front Matter....Pages 433-433
Interval Type-2 Fuzzy Logic in Hybrid Neural Pattern Recognition Systems....Pages 435-439
Type-2 Fuzzy Sets and Beyond....Pages 441-448
Memories of a Crisp Engineer....Pages 449-453
On Fuzziness in Mathematics....Pages 455-458
A Mathematician’s Naive Perspective on Fuzzy Sets and Fuzzy Logic....Pages 459-461
On Fuzziness and Ordinary Reasoning....Pages 463-468
On Present Logico-Methodological Challenges to Fuzzy Systems....Pages 469-477
How Ideas of L.A. Zadeh Gave Rise to Mathematical Fuzzy Logic....Pages 479-486
Fuzzy Sets Seemed to Work....Pages 487-492
From Fuzzy Deformable Prototypes to Fuzzy Web Search....Pages 493-502
My Journey to Fuzziness in Berkeley....Pages 503-506
Encounters with Fuzziness and Ambiguity in Patterns – A Memorable Journey....Pages 507-517
My Way to Fuzzy Control....Pages 519-523
The Role of Fuzzy Sets in Information Retrieval....Pages 525-532
Fuzzy Sets: A Brief Retrospect and Beyond....Pages 533-537
Fuzzy Relational Equations – From Theory to Software and Applications....Pages 539-545
Fuzzy Set Theory Utility for Database and Information Systems....Pages 547-552
Fuzzy Sets in Foundations of Quantum Mechanics....Pages 553-557
Real-Valued Realizations of Boolean Algebras Are a Natural Frame for Consistent Fuzzy Logic....Pages 559-565
The Meeting with Fuzzy Mathematics as the Great Adventure of My Life....Pages 567-572
Front Matter....Pages 433-433
Uncertainty and Knowledge Repositories in the Web of Data....Pages 573-578
The Influence of Lotfi Zadeh on Informatik I in Dortmund....Pages 579-583
A Tribute to Lotfi Zadeh with Personal Recollections....Pages 585-589
Neither Concepts Nor Lotfi Zadeh are Fuzzy Sets....Pages 591-596
On the Meaning of Fuzziness....Pages 597-609
Fuzzy Control: From Heuristic Rules to Optimization on Thousands of Decision Variables....Pages 611-616
A Grain in the Heap....Pages 617-624
The Robot and the Butterfly....Pages 625-630
The Membership of a Fuzzy Set as Coherent Conditional Probability....Pages 631-635
Some of My Experiences and Views on Zadeh’s Fuzzy Logic....Pages 637-644
What Is the Source of Fuzziness?....Pages 645-652
Vague Computing Is the Natural Way to Compute!....Pages 653-658
Fuzziness: Came for the View, Stayed for the Same....Pages 659-664
On Fuzziness in Complex Fuzzy Systems....Pages 665-672
Fuzzy Systems in Brazil and at QMC....Pages 673-677
On Fuzziness, Its Homeland and Its Neighbour....Pages 679-685
Wittgenstein and Zadeh, Side by Side....Pages 687-690
Aggregation Operators....Pages 691-695
On Some Classical Tenets and Fuzzy Logic....Pages 697-705
Fuzzy Regression Models Beyond Fuzzy Rule Base Models....Pages 707-711
Front Matter....Pages 433-433
On Fuzzy Sets Philosophical Foundations....Pages 713-717
The Two Cultures of Logic....Pages 719-724
Fuzzy Approaches in Anytime Systems....Pages 725-735
Fuzziness in Software Engineering....Pages 737-743
Some Algebraic Aspects of Fuzzy Set Theory....Pages 745-747
The Path of Linguistic Random Regression to Knowledge Acquisition....Pages 749-753
Syzygy....Pages 755-762
Philosophy of Science, Operations Research, and Fuzzy Set Theory – Personal Observations....Pages 763-774
Front Matter....Pages 775-775
How We Got Fuzzy (1976 - 1980)....Pages 777-796
Living in an Uncertain Universe....Pages 797-811
Dialogue on Scientific Theories and Fuzziness –Fuzzy-Philosophical Investigations....Pages 813-829
Fuzziness, Probability, Uncertainty and the Foundations of Knowledge....Pages 831-856
Errata: On Fuzziness....Pages E1-E2
Back Matter....Pages 1-3

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The notion of Fuzziness stands as one of the really new concepts that have recently enriched the world of Science. Science grows not only through technical and formal advances on one side and useful applications on the other side, but also as consequence of the introduction and assimilation of new concepts in its corpus. These, in turn, produce new developments and applications. And this is what Fuzziness, one of the few new concepts arisen in the XX Century, has been doing so far.

This book aims at paying homage to Professor Lotfi A. Zadeh, the “father of fuzzy logic” and also at giving credit to his exceptional work and personality. In a way, this is reflected in the variety of contributions collected in the book. In some of them the authors chose to speak of personal meetings with Lotfi; in others, they discussed how certain papers of Zadeh were able to open for them a new research horizon. Some contributions documented results obtained from the author/s after taking inspiration from a particular idea of Zadeh, thus implicitly acknowledging him.

Finally, there are contributions of several “third generation fuzzysists or softies” who were firstly led into the world of Fuzziness by a disciple of Lotfi Zadeh, who, following his example, took care of opening for them a new road in science.

Rudolf Seising is Adjoint Researcher at the European Centre for Soft Computing in Mieres, Asturias (Spain).

Enric Trillas and Claudio Moraga are Emeritus Researchers at the European Centre for Soft Computing, Mieres, Asturias (Spain).

Settimo Termini is Professor of Theoretical Computer Science at the University of Palermo, Italy and Affiliated Researcher at the European Centre for Soft Computing, Mieres, Asturias (Spain)
Content:
Front Matter....Pages 1-34
Front Matter....Pages 433-433
Interval Type-2 Fuzzy Logic in Hybrid Neural Pattern Recognition Systems....Pages 435-439
Type-2 Fuzzy Sets and Beyond....Pages 441-448
Memories of a Crisp Engineer....Pages 449-453
On Fuzziness in Mathematics....Pages 455-458
A Mathematician’s Naive Perspective on Fuzzy Sets and Fuzzy Logic....Pages 459-461
On Fuzziness and Ordinary Reasoning....Pages 463-468
On Present Logico-Methodological Challenges to Fuzzy Systems....Pages 469-477
How Ideas of L.A. Zadeh Gave Rise to Mathematical Fuzzy Logic....Pages 479-486
Fuzzy Sets Seemed to Work....Pages 487-492
From Fuzzy Deformable Prototypes to Fuzzy Web Search....Pages 493-502
My Journey to Fuzziness in Berkeley....Pages 503-506
Encounters with Fuzziness and Ambiguity in Patterns – A Memorable Journey....Pages 507-517
My Way to Fuzzy Control....Pages 519-523
The Role of Fuzzy Sets in Information Retrieval....Pages 525-532
Fuzzy Sets: A Brief Retrospect and Beyond....Pages 533-537
Fuzzy Relational Equations – From Theory to Software and Applications....Pages 539-545
Fuzzy Set Theory Utility for Database and Information Systems....Pages 547-552
Fuzzy Sets in Foundations of Quantum Mechanics....Pages 553-557
Real-Valued Realizations of Boolean Algebras Are a Natural Frame for Consistent Fuzzy Logic....Pages 559-565
The Meeting with Fuzzy Mathematics as the Great Adventure of My Life....Pages 567-572
Front Matter....Pages 433-433
Uncertainty and Knowledge Repositories in the Web of Data....Pages 573-578
The Influence of Lotfi Zadeh on Informatik I in Dortmund....Pages 579-583
A Tribute to Lotfi Zadeh with Personal Recollections....Pages 585-589
Neither Concepts Nor Lotfi Zadeh are Fuzzy Sets....Pages 591-596
On the Meaning of Fuzziness....Pages 597-609
Fuzzy Control: From Heuristic Rules to Optimization on Thousands of Decision Variables....Pages 611-616
A Grain in the Heap....Pages 617-624
The Robot and the Butterfly....Pages 625-630
The Membership of a Fuzzy Set as Coherent Conditional Probability....Pages 631-635
Some of My Experiences and Views on Zadeh’s Fuzzy Logic....Pages 637-644
What Is the Source of Fuzziness?....Pages 645-652
Vague Computing Is the Natural Way to Compute!....Pages 653-658
Fuzziness: Came for the View, Stayed for the Same....Pages 659-664
On Fuzziness in Complex Fuzzy Systems....Pages 665-672
Fuzzy Systems in Brazil and at QMC....Pages 673-677
On Fuzziness, Its Homeland and Its Neighbour....Pages 679-685
Wittgenstein and Zadeh, Side by Side....Pages 687-690
Aggregation Operators....Pages 691-695
On Some Classical Tenets and Fuzzy Logic....Pages 697-705
Fuzzy Regression Models Beyond Fuzzy Rule Base Models....Pages 707-711
Front Matter....Pages 433-433
On Fuzzy Sets Philosophical Foundations....Pages 713-717
The Two Cultures of Logic....Pages 719-724
Fuzzy Approaches in Anytime Systems....Pages 725-735
Fuzziness in Software Engineering....Pages 737-743
Some Algebraic Aspects of Fuzzy Set Theory....Pages 745-747
The Path of Linguistic Random Regression to Knowledge Acquisition....Pages 749-753
Syzygy....Pages 755-762
Philosophy of Science, Operations Research, and Fuzzy Set Theory – Personal Observations....Pages 763-774
Front Matter....Pages 775-775
How We Got Fuzzy (1976 - 1980)....Pages 777-796
Living in an Uncertain Universe....Pages 797-811
Dialogue on Scientific Theories and Fuzziness –Fuzzy-Philosophical Investigations....Pages 813-829
Fuzziness, Probability, Uncertainty and the Foundations of Knowledge....Pages 831-856
Errata: On Fuzziness....Pages E1-E2
Back Matter....Pages 1-3
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