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Fuzzy Graphs and Fuzzy Hypergraphs

  • John N. Mordeson
  • Premchand S. Nair

Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 46)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. John N. Mordeson, Premchand S. Nair
    Pages 1-17
  3. John N. Mordeson, Premchand S. Nair
    Pages 19-81
  4. John N. Mordeson, Premchand S. Nair
    Pages 83-133
  5. John N. Mordeson, Premchand S. Nair
    Pages 135-231
  6. Back Matter
    Pages 233-248

About this book

Introduction

In the course of fuzzy technological development, fuzzy graph theory was identified quite early on for its importance in making things work. Two very important and useful concepts are those of granularity and of nonlinear ap­ proximations. The concept of granularity has evolved as a cornerstone of Lotfi A.Zadeh's theory of perception, while the concept of nonlinear approx­ imation is the driving force behind the success of the consumer electronics products manufacturing. It is fair to say fuzzy graph theory paved the way for engineers to build many rule-based expert systems. In the open literature, there are many papers written on the subject of fuzzy graph theory. However, there are relatively books available on the very same topic. Professors' Mordeson and Nair have made a real contribution in putting together a very com­ prehensive book on fuzzy graphs and fuzzy hypergraphs. In particular, the discussion on hypergraphs certainly is an innovative idea. For an experienced engineer who has spent a great deal of time in the lab­ oratory, it is usually a good idea to revisit the theory. Professors Mordeson and Nair have created such a volume which enables engineers and design­ ers to benefit from referencing in one place. In addition, this volume is a testament to the numerous contributions Professor John N. Mordeson and his associates have made to the mathematical studies in so many different topics of fuzzy mathematics.

Keywords

Analysis Graph Graph theory Hypergraph Sim Vertices classification computer database fuzzy

Editors and affiliations

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

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-7908-1854-3
  • Copyright Information Physica-Verlag Heidelberg 2000
  • Publisher Name Physica, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-7908-2471-1
  • Online ISBN 978-3-7908-1854-3
  • Series Print ISSN 1434-9922
  • Series Online ISSN 1860-0808
  • Buy this book on publisher's site
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