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Learning Aggregation Functions [PDF]
Proceedings of the Thirtieth International Joint Conference on Artificial Intelligence, 2021 Learning on sets is increasingly gaining attention in the machine learning community, due to its widespread applicability. Typically, representations over sets are computed by using fixed aggregation functions such as sum or maximum. However, recent results showed that universal function representation by sum- (or max-) decomposition requires either ...
Pellegrini, Giovanni +4 more
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Machine Learning and Knowledge Extraction, 2022 In many domains of our daily life (e.g., agriculture, forestry, health, etc.), both laymen and experts need to classify entities into two binary classes (yes/no, good/bad, sufficient/insufficient, benign/malign, etc.). For many entities, this decision is
Anna Saranti +8 more
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Convolution of Decomposition Integrals
Mathematics, 2022 Four different types of convolutions of aggregation functions (the upper, the lower, the super-, and the sub-convolution) are examined in the setting of both sub- and super-decomposition integrals defined on a finite space. Examples of the results of the
Adam Šeliga
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On Join-Dense Subsets of Certain Families of Aggregation Functions
Mathematics, 2022 Several important classes of aggregation functions defined on a bounded lattice form a lattice with respect to the pointwise operations of join and meet, respectively. The lattice structure of such classes is usually very complex; thus, it is very useful
Radomír Halaš +2 more
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Mathematics, 2022 In this work, by considering a class of matrix valued fuzzy controllers and using a (κ,ς)-Cauchy–Jensen additive functional equation ((κ,ς)-CJAFE), we apply the Radu–Mihet method (RMM), which is derived from an alternative fixed point theorem, and obtain
Zahra Eidinejad +2 more
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Rights Systems and Aggregation Functions on Property Spaces
Mathematics, 2023 The notion of decisive coalitions of voters with different grades of decisiveness is a part of the mathematical framework for many models in social choice theory.
Marta Cardin
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Matrix Representation of Capacity-Based Multicriteria Decision Analysis
IEEE Access, 2019 Matrix algebra is an efficient way to represent the relationship between different concepts in the multiple criteria decision analysis theory. The main purpose of this paper is to provide a compact and systematic representation of the capacities and ...
Rui-Jie Xi, Jian-Zhang Wu, Gleb Beliakov
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On Self-Aggregations of Min-Subgroups
Axioms, 2021 Preservation of structures under aggregation functions is an active area of research with applications in many fields. Among such structures, min-subgroups play an important role, for instance, in mathematical morphology, where they can be used to model ...
Carlos Bejines +2 more
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An Abstract Result on Projective Aggregation Functions
Axioms, 2018 A general characterization result of projective aggregation functions is shown, the proof of which makes use of the celebrated Arrow’s theorem, thus providing a link between aggregation functions theory and social choice theory.
Juan C. Candeal
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IEEE Access, 2020 The tortuosity assessment of vessels and nerve fibres in ophthalmic images has drawn substantial attention, for its potentials in assisting various medical diagnoses.
Pan Su +6 more
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