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Preassociative aggregation functions [PDF]
Fuzzy Sets and Systems, 2014 The classical property of associativity is very often considered in aggregation function theory and fuzzy logic. In this paper we provide axiomatizations of various classes of preassociative functions, where preassociativity is a generalization of ...
B. Bacchelli +13 more
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Aggregation functions: Means [PDF]
Information Sciences, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Grabisch, Michel +3 more
openaire +6 more sources
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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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
doaj +1 more source
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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Meaningful aggregation functions mapping ordinal scales into an ordinal scale: a state of the art [PDF]
, 2009 We present an overview of the meaningful aggregation functions mapping ordinal scales into an ordinal scale. Three main classes are discussed, namely order invariant functions, comparison meaningful functions on a single ordinal scale, and comparison ...
Marichal, Jean-Luc, Mesiar, Radko
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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
doaj +1 more source
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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Sequence-specific protein aggregation generates defined protein knockdowns in plants [PDF]
, 2016 Protein aggregation is determined by short (5-15 amino acids) aggregation-prone regions (APRs) of the polypeptide sequence that self-associate in a specific manner to form beta-structured inclusions.
Aesaert, Stijn +16 more
core +2 more sources