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Fuzzy Mathematics

An Introduction for Engineers and Scientists

  • John N. Mordeson
  • Premchand S. Nair

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

Table of contents

  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

About this book

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

  • John N. Mordeson
    • 1
  • Premchand S. Nair
    • 2
  1. 1.Center for Research in Fuzzy Mathematics and Computer ScienceCreighton UniversityOmahaUSA
  2. 2.Department of Mathematics and Computer ScienceCreighton UniversityOmahaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-7908-1808-6
  • Copyright Information Physica-Verlag Heidelberg 2001
  • Publisher Name Physica, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-7908-2494-0
  • Online ISBN 978-3-7908-1808-6
  • Series Print ISSN 1434-9922
  • Series Online ISSN 1860-0808
  • Buy this book on publisher's site
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