Fuzzy Graphs and Fuzzy Hypergraphs (Studies in Fuzziness and Soft Computing)

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.