Distorted Probabilities and m-Separable Fuzzy Measures
نویسندگان
چکیده
Distorted probabilities are an important family of fuzzy measures. In a recent paper we introduced m-dimensional distorted probabilities, which generalize the former and permit us to have a smooth transition from distorted probabilities to unconstrained ones. In this paper we introduce the union condition and the strict union condition, and we show that when these conditions hold for a fuzzy measure, the fuzzy measure is a distorted probability. In addition, we present a few results that establish some relationships between other fuzzy measures.
منابع مشابه
Hellinger distance for fuzzy measures
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.
متن کاملA Self-organized Multi Agent Decision Making System Based on Fuzzy Probabilities: The Case of Aphasia Diagnosis
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...
متن کاملSeparable programming problems with the max-product fuzzy relation equation constraints
In this paper, the separable programming problem subject to Fuzzy Relation Equation (FRE) constraints is studied. It is decomposed to two subproblems with decreasing and increasing objective functions with the same constraints. They are solved by the maximum solution and one of minimal solutions of its feasible domain, respectively. Their combination produces the original optimal solution. The ...
متن کاملSome topological properties of fuzzy strong b-metric spaces
In this study, we investigate topological properties of fuzzy strong b-metric spaces defined in [13]. Firstly, we prove Baire's theorem for these spaces. Then we define the product of two fuzzy strong b-metric spaces defined with same continuous t-norms and show that $X_{1}times X_{2}$ is a complete fuzzy strong b-metric space if and only if $X_{1}$ and $X_{2}$ are complete fu...
متن کاملProperties of Strong Regularity of Fuzzy Measure on Metric Space
Abstract: The purpose of this paper is to discuss the properties of regularity and strong regularity of fuzzy measure on metric spaces following the previous results. Some properties are defined with the help of nulladditivity such as inner\outer regularity and the regularity of fuzzy measure. We define the strong regularity of fuzzy measures and show our result that the null-additive fuzzy mea...
متن کامل