# Fuzzy Mathematics

## An Introduction for Engineers and Scientists

Book

Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 20)

1. Front Matter
Pages i-xiii
2. John N. Mordeson, Premchand S. Nair
Pages 1-20
3. John N. Mordeson, Premchand S. Nair
Pages 21-65
4. John N. Mordeson, Premchand S. Nair
Pages 67-113
5. John N. Mordeson, Premchand S. Nair
Pages 115-136
6. John N. Mordeson, Premchand S. Nair
Pages 137-217
7. John N. Mordeson, Premchand S. Nair
Pages 219-290
8. Back Matter
Pages 291-310

### Introduction

In the mid-1960's I had the pleasure of attending a talk by Lotfi Zadeh at which he presented some of his basic (and at the time, recent) work on fuzzy sets. Lotfi's algebra of fuzzy subsets of a set struck me as very nice; in fact, as a graduate student in the mid-1950's, I had suggested similar ideas about continuous-truth-valued propositional calculus (inffor "and", sup for "or") to my advisor, but he didn't go for it (and in fact, confused it with the foundations of probability theory), so I ended up writing a thesis in a more conventional area of mathematics (differential algebra). I especially enjoyed Lotfi's discussion of fuzzy convexity; I remember talking to him about possible ways of extending this work, but I didn't pursue this at the time. I have elsewhere told the story of how, when I saw C. L. Chang's 1968 paper on fuzzy topological spaces, I was impelled to try my hand at fuzzi­ fying algebra. This led to my 1971 paper "Fuzzy groups", which became the starting point of an entire literature on fuzzy algebraic structures. In 1974 King-Sun Fu invited me to speak at a U. S. -Japan seminar on Fuzzy Sets and their Applications, which was to be held that summer in Berkeley.

### Keywords

Analysis Pattern Recognition Transformation automata automata theory coding theory computer computer science database fuzzy modeling optimization

#### Authors and affiliations

1. 1.Center for Research in Fuzzy Mathematics and Computer ScienceCreighton UniversityOmahaUSA
2. 2.Department of Mathematics and Computer ScienceCreighton UniversityOmahaUSA

### Bibliographic information

• Book Title Fuzzy Mathematics
• Book Subtitle An Introduction for Engineers and Scientists
• Authors John N. Mordeson
Premchand S. Nair
• Series Title Studies in Fuzziness and Soft Computing
• DOI https://doi.org/10.1007/978-3-7908-1808-6
• Copyright Information Physica-Verlag Heidelberg 2001
• Publisher Name Physica, Heidelberg
• eBook Packages
• Hardcover ISBN 978-3-7908-1420-0
• Softcover ISBN 978-3-7908-2494-0
• eBook ISBN 978-3-7908-1808-6
• Series ISSN 1434-9922
• Series E-ISSN 1860-0808
• Edition Number 2
• Number of Pages XIII, 314
• Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
• Topics
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