A number of recent articles argue that the 'problem of Bachet' - the problem of finding the most efficient set of weights - can shed light on the problem of finding the optimal denominational structure of a series of coins and bank notes. This note argues that the two problems differ in nature,...

This book presents a clear, systematic treatment of convergence theorems of set-valued random variables (random sets) and fuzzy set-valued random variables (random fuzzy sets). Topics such as strong laws of large numbers and central limit theorems, including new results in connection with the...

Scheduling and multicriteria optimisation theory have been subject, separately, to numerous studies. Since the last fifteen years, multicriteria scheduling problems have been subject to a growing interest. However, a gap between multicriteria scheduling approaches and multicriteria optimisation...

Bernard Roy, Forty Years of Esteem and Friendship -- Connectivity, Transitivity and Chromaticity: The Pioneering Work of Bernard Roy in Graph Theory -- Decision-Aid Between Tools and Organisations -- Talking About the Practice of MCDA -- Multi-Criteria Decision-Aid in a Philosophical Perspective...

The monograph deals with deterministic project scheduling with time windows for activities and with limited resources. In addition to project duration or makespan, a large number of mostly nonregular objective functions are considered, for example, net present value, earliness plus tardiness...

The book is dedicated to multi-objective methods in decision making. The first part which is devoted to theoretical aspects, covers a broad range of multi-objective methods such as multiple linear programming, vector optimisation, fuzzy goal programming, data envelopment analysis, game theory,...

Since the introduction of genetic algorithms in the 1970s, an enormous number of articles together with several significant monographs and books have been published on this methodology. As a result, genetic algorithms have made a major contribution to optimization, adaptation, and learning in a...

Convexity of sets in linear spaces, and concavity and convexity of functions, lie at the root of beautiful theoretical results that are at the same time extremely useful in the analysis and solution of optimization problems, including problems of either single objective or multiple objectives....