The use of topological ideas to explore various aspects of graph theory, and vice versa, is a fruitful area of research. There are links with other areas of mathematics, such as design theory and geometry, and increasingly with such areas as computer networks where symmetry is an important feature. Other books cover portions of the material here, but there… (More)
We present a survey of various approaches for the refinement of the Sugeno integral, based on the lexi-cographic order or the principle of discarding common values between acts. We try to relate these different approaches and compare their merits .
Until now, decision under uncertainty and multicriteria decision making have been investigated separately and almost independently, although there is a close link between both fields. Decision theory is also closely related to measurement theory. Besides, it is well known that additive representations in decision making are not sufficient to avoid paradoxes… (More)
There is given a short overview of the monograph rdquoAggregation Functionsrdquo (M. Grabisch, J. L. Marichal, R. Mesiar, E. Pap), Cambridge University Press (in press).
We propose a new axiomatization of the Shapley value for cooperative games, where symmetry and efficiency can be discarded and replaced with new natural axioms. From any game, an excluded-player game is built by discarding all coalitions that contain a fixed player. Then it is shown that the Shapley value is the unique value satisfying the linearity axiom,… (More)
We present the notion of k-intolerant bi-capacity, extending to the case of bipolar scales the notion of k-intolerant capacity recently proposed by Marichal. In a second part, we extend to the bipolar case the notion of veto criteria.