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In this paper we propose a way of measuring the difference between two fuzzy sets by means of a function which we will call divergence. We define this concept by means of a group of natural axioms and we study in detail the most important classes of such measures, those which have the local property.

Hypothesis: Complications associated with thyroidectomy for intrathoracic goiters have been underestimated because of the lack of a precise definition of highrisk patients. Design: Retrospective multicenter multinational review of medical records and radiographic images of patients who underwent thyroidectomy for intrathoracic goiters reaching the carina tracheae. Demographic, clinical, operative, anatomical, and pathological data were recorded. Results: There were 35 patients (mean ± SE age, 63±11 years) included in the study. In 4 patients, the goiter was asymptomatic; 10 patients had dysphagia, 24 patients had dyspnea, and 3 patients had superior vena cava syndrome. A median sternotomy was required in 12 patients and a right-sided thoracotomy in 1 patient. The mean±SE operative time was 145 ± 72 minutes (range, 50-360 minutes). Transient hypoparathyroidism devel

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International audienceIn this paper we deal with the problem of axiomatizing the preference relations modelled through Choquet integral with respect to a $k$-additive capacity, i.e. whose Möbius transform vanishes for subsets of more than $k$ elements. Thus, $k$-additive capacities range from probability measures ($k=1$) to general capacities ($k=n$). The axiomatization is done in several steps, starting from symmetric 2-additive capacities, a case related to the Gini index, and finishing with general $k$-additive capacities. We put an emphasis on 2-additive capacities. Our axiomatization is done in the framework of social welfare, and complete previous results of Weymark, Gilboa and Ben Porath, and Gajdos

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Different authors have observed some relationships between consonant random sets and possibility measures, specially for finite universes. In this paper, we go deeply into this matter and propose several possible definitions for the concept of consonant random set. Three of these conditions are equivalent for finite universes. In that case, the random set considered is associated to a possibility measure if and only if any of them is satisfied. However, in a general context, none of the six definitions here proposed is sufficient for a random set to induce a possibility measure. Moreover, only one of them seems to be necessary.