Fuzzy graphs and Fuzzy hypergraphs

The series " Studies in Fuzziness and Sort Computing " contains publications on various areas within the so-called soft computing which include fuzzy sets, rough sets, neural networks, evolutionary computations, probabilistic and evidential reasoning, multivalued logic, and related fields. The publications within " Studies in Fuzziness and Soft Computing " are primarily monographs and edited volumes. They cover significant recent developments in the field, both of a foundational and applicational character. An important characteristic feature of the series is a short publication time and world-wide distribution. This permits a rapid and broad dissemination of research results. 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 classification, 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.