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.
By:
John N. Mordeson, Premchand S. Nair Imprint: Physica-Verlag GmbH & Co Country of Publication: Germany Edition: Second Edition 2001 Volume: 20 Dimensions:
Height: 235mm,
Width: 155mm,
Spine: 19mm
Weight: 1.400kg ISBN:9783790814200 ISBN 10: 3790814202 Series:Studies in Fuzziness and Soft Computing Pages: 314 Publication Date:07 September 2001 Audience:
Professional and scholarly
,
College/higher education
,
Undergraduate
,
Further / Higher Education
Format:Hardback Publisher's Status: Active