Some Remarks on the Notion of Transition

Some remarks on the notion of compensation in MCDM

This paper presents general definitions of compensation and noncompensation in M C D M within the framework of Multiattribute Preference Structures. The interest of using a more or less compensatory aggregation procedure is discussed. General aggregation procedures, that allow to mix compensatory and noncompensatory features in a consistent way, are introduced. They receive a complete axiomatic...

Some remarks on the notion of compensation in MCDM

This paper presents general definitions of compensation and noncompensation in M C D M within the framework of Multiattribute Preference Structures. The interest of using a more or less compensatory aggregation procedure is discussed. General aggregation procedures, that allow to mix compensatory and noncompensatory features in a consistent way, are introduced. They receive a complete axiomatic...

Some remarks about a notion of rearrangement

We consider an extension to n-dimensions of the notion of increasing rearrangement for functions of one variable, and study the behaviour with respect to this operation of some classes of integral functionals. Among other applications, we obtain a simple direct proof of the existence and uniqueness of n-dimensional optimal profiles for transitions in a phase-separation model with non-local inte...

Some remarks on Hugh MacColl’s notion of symbolic existence

Some remarks on the arithmetic-geometric index

Using an identity for effective resistances, we find a relationship between the arithmetic-geometric index and the global ciclicity index. Also, with the help of majorization, we find tight upper and lower bounds for the arithmetic-geometric index.