Fuzzy Logic and Mathematics A Historical Perspective

Radim Belohl?vek is Professor of Computer Science and Head of Department of Computer Science at the Palacky University, Olomouc in the Czech Republic. He obtained PhD in Computer Science, PhD in Mathematics, and DSc in Mathematical and Physical Sciences. He is the author of over 150 papers in peer reviewed journals and conferences on various aspects of uncertainty, logic, and discrete mathematics.

Joseph W. Dauben is Distinguished Professor of History and the History of Science at the City University of New York. A graduate of Claremont McKenna College (A.B. '66) and Harvard University (A.M., Ph.D. '72), Professor Dauben is the author of biographies of Georg Cantor and Abraham Robinson. He has been a member of the Institute for Advanced Study (Princeton) and Clare Hall (Cambridge), and the recipient of a Guggenheim Fellowship and a Senior ACLS Fellowship. In January of 2012 he received the Albert Leon Whiteman Memorial Prize for History of Mathematics, conferred by the American Mathematical Society in recognition of a career of outstanding contributions to the history of mathematics.

George J. Klir spent most of his academic career (1969-2008) with the State University of New York at Binghamton where he was appointed Distinguished Professor of Systems Science in 1978. He published well over 300 research papers and 31 scholarly books. He received numerous awards and honors including 6 honorary doctoral degrees.

Preface
Notes for the Reader

1. Aims and Scope of This Book
2. Prehistory, Emergence, and Evolution of Fuzzy Logic
3. Fuzzy Logic in the Broad Sense
4. Fuzzy Logic in the Narrow Sense
5. Mathematics Based on Fuzzy Logic
6. Applications of Fuzzy Logic
7. Significance of Fuzzy Logic

Appendices
A. The Enigma of Cox's Proof
B. Overview of Classical Logic
C. Photographs

Glossary of Symbols
References