Fuzzy mathematics. an introduction for engineers and scientists, with 9 tables.

Mordeson, John N.:

ISBN 10: 3790811211 / ISBN 13: 9783790811216

Edité par Springer-Verlag Telos, 1998

A propos de cet article

Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Sj 1088 9783790811216 Sprache: Englisch Gewicht in Gramm: 550. N° de réf. du vendeur 2098506

Détails bibliographiques

Titre : Fuzzy mathematics. an introduction for ...

Éditeur : Springer-Verlag Telos

Date d'édition : 1998

Reliure : Couverture rigide

A propos de ce titre

Synopsis :

This text deals with fuzzy graph theory, fuzzy topology, fuzzy geometry, and fuzzy abstract algebra. The purpose of the book is to present the concepts of fuzzy mathematics which have applications to engineering, computer science, and mathematics. Some specific applications areas are cluster analysis, digital image processing, fractal compression, chaotic fuzzy mappings, coding theory, automata theory, and nonlinear systems of fuzzy equations. The book is written with engineers and computer scientists in mind. Some mathematical sophistication is required of the reader. However the style is geared to a general audience. Most theorems are stated without proof and many examples are presented. Results of mathematics are reviewed as needed.

Présentation de l'éditeur:

The book deals with fuzzy graph theory, fuzzy topology, fuzzy geometry, and fuzzy abstract algebra. It presents the concepts of fuzzy mathematics with applications to engineering, computer science, and mathematics. In this second edition the chapter on geometry is expanded and contains results on the degree of adjacency of two regions and the degree of surroundedness of a region by another. Applications to digital polygons and image description are also given. Furthermore, the new edition includes results on image enhancement and thresholding by optimization of fuzzy compactness as well as results concerning a Hausdorff distance between fuzzy subsets. The most current work on the solution of nonlinear systems of fuzzy intersection equations of fuzzy singletons has been added to the chapter on algebra. The book is written with engineers and computer scientists in mind, but it can also serve as a research guide to interested mathematicians as it involves current results.