This article introduces a general framework of multi-granulation fuzzy probabilistic roughsets (MG-FPRSs) models in multi-granulation fuzzy probabilistic approximation space over twouniverses. Four types of MG-FPRSs are established, by the four different conditional probabilitiesof fuzzy event. For different constraints on parameters, we obtain four kinds of each type MG-FPRSs...

Hellinger distance is a distance between two additive measures defined in terms of the RadonNikodym derivative of these two measures. This measure proposed in 1909 has been used in a large variety of contexts. In this paper we define an analogous measure for fuzzy measures. We discuss them for distorted probabilities and give two examples.

aphasia diagnosis is a challenging medical diagnostic task due to the linguistic uncertainty and vagueness, large number of measurements with imprecision, inconsistencies in the definition of aphasic syndromes, natural diversity and subjectivity in test objects as well as in options of experts who diagnose the disease. in this paper we present a new self-organized multi agent system that diagno...

The paper discusses integration in possibility theory, both in an ordinal and in a numerical (behavioral) context. It is shown that in an ordinal context, the fuzzy integral has an important part in at least three areas: the extension of possibility measures to larger domains, the construction of product measures from marginals and the definition of conditional possibilities. In a numerical (be...

From recent studies, the concept of “monotone expectation” (ME) Interactive Multi-Attribute Decision Making (MADM) is well known, which was developed for case different fuzzy sets. This article develops such statistical parameters as variance, k-order moment and covariance. We investigate problem definition some parameters, when uncertainty represented by a monotone measure—a measure—instead an...