Overview

The authors present an up-to-date account of results from fuzzy graph theory and fuzzy hypergraph theory and give applications of the results. The book should be of interest to research mathematicians and to engineers and computer scientists interested in applications. Some specific application areas presented from fuzzy graph theory are cluster analysis, pattern classfication, database theory, and the problem concerning group structure. Applications of fuzzy hypergraph theory to portfolio management, managerial decision making with an example to waste management, and to neural cell-assemblies are given. It is shown how (fuzzy) hypergraphs and rough sets are related in such a way that ideas may be carried back and forth between the two areas.

Full Product Details

Author:   John N. Mordeson ,  Premchand S. Nair
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Physica-Verlag GmbH & Co
Edition:   2000 ed.
Volume:   46
Dimensions:   Width: 15.50cm , Height: 1.50cm , Length: 23.50cm
Weight:   1.220kg
ISBN:  

9783790812862

ISBN 10:   3790812862
Pages:   250
Publication Date:   26 April 2000
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

1 Fuzzy Subsets.- 1.1 Fuzzy Relations.- 1.2 Fuzzy Equivalence Relations.- 1.3 Pattern Classification.- 1.4 Similarity Relations.- 1.5 References.- 2 Fuzzy Graphs.- 2.1 Paths and Connectedness.- 2.2 Fuzzy Line Graphs.- 2.3 Fuzzy Interval Graphs.- 2.4 Operations on Fuzzy Graphs.- 2.5 On Fuzzy Tree Definition.- 2.6 References.- 3 Applications of Fuzzy Graphs.- 3.1 Clusters.- 3.2 Cluster Analysis.- 3.3 Application to Cluster Analysis.- 3.4 Fuzzy Intersection Equations.- 3.5 Fuzzy Graphs in Database Theory.- 3.6 A Description of Strengthening and Weakening Members of a Group.- 3.7 An Application to the Problem Concerning Group Structure.- 3.8 References.- 4 Fuzzy Hypergraphs.- 4.1 Fuzzy Hypergraphs.- 4.2 Fuzzy Transversals of Fuzzy Hypergraphs.- 4.3 Coloring of Fuzzy Hypergraphs.- 4.4 Intersecting Fuzzy Hypergraphs.- 4.5 Hebbian Structures.- 4.6 Additional Applications.- 4.7 References.- List of Figures.- List of Tables.- List of Symbols.

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