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New non-additive integrals in Multiple Criteria Decision Analysis RINDONE, FABIO Rindone, Fabio GRECO, Salvatore RUSSO, Giovanni Choquet integral, Sugeno integral, bipolar integrals, imprecise evaluations, universal integral The proposal and the axiomatization of new fuzzy integrals has a central role in modern Multiple Criteria Decision Analysis. In this thesis we propose some generalizations of well known fuzzy integrals (Choquet, Shilkret and Sugeno). We propose and characterize bipolar fuzzy integrals, which are generalization of the most famous fuzzy integrals to the case of bipolar scale, i.e. those symmetric scale where it is possible for each value to find the opposite. We also deal with the generalization of the concept of universal integral (recently proposed to generalize several fuzzy integrals) to the case of bipolar scales. We also provide the characterization of the bipolar universal integral with respect to a level dependent bi-capacity. Finally, we consider the problem to adapt classical definitions of fuzzy integrals to the case of imprecise interval evaluations. More precisely, standard fuzzy integrals used in MCDA request that the starting evaluations of a choice on various criteria must be expressed in terms of exact-evaluations. We present the robust Choquet, Shilkret and Sugeno integrals, computed with respect to an interval capacity. These are quite natural generalizations of the Choquet, Shilkret and Sugeno integrals, useful to aggregate interval-evaluations of choice alternatives into a single overall evaluation. La proposta e la caratterizzazione di nuovi integrali fuzzy ha un ruolo centrale nel campo delle decisioni ulticriteriali. In questa tesi verranno vengono presentate alcune interessanti generalizzazioni dei più conosciuti integrali fuzzy nella letteratura, cioè l'integrale di Choquet, Sugeno e Shilkret. Presenteremo e caratterizzeremo alcuni integrali bipolari, che sono generalizzazioni dei più noti integrali fuzzy anel caso di una scala bipolare. Presenteremo la generalizzazione del concetto di integrale universale al caso di scale bipolari simmetriche. Infine adatteremo le definizioni di integrale di Choquet, Shilkret e Sugeno al caso di valutazioni intervallari. 2012-12-09 info:eu-repo/semantics/doctoralThesis https://hdl.handle.net/20.500.11769/587295 eng info:eu-repo/semantics/openAccess Università degli studi di Catania place:Catania license:PUBBLICO - Pubblico con Copyright license:PUBBLICO - Pubblico con Copyright license uri:iris.PUB02 license uri:iris.PUB02