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Mathematics, 2021
Recently, some new types of monotonicity—in particular, weak monotonicity and directional monotonicity of an n-ary real function—were introduced and successfully applied.
Radko Mesiar, Andrea Stupňanová
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Sub-Additive Aggregation Functions and Their Applications in Construction of Coherent Upper Previsions

Mathematics, 2020
In this paper, we explore the use of aggregation functions in the construction of coherent upper previsions. Sub-additivity is one of the defining properties of a coherent upper prevision defined on a linear space of random variables and thus we ...
Serena Doria, Radko Mesiar, Adam Šeliga
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An Efficient Zero-Knowledge Dual Membership Proof Supporting Pos-and-Neg Membership Decision

Mathematics, 2022
In this paper, we address the problem of secure decision of membership. We present a Zero-Knowledge Dual Membership Proof (ZKDMP) protocol, which can support positive and negative (Pos-and-Neg) membership decisions simultaneously.
Hongjian Yin +4 more
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Application of Fuzzy and Rough Logic to Posture Recognition in Fall Detection System

Sensors, 2022
Considering that the population is aging rapidly, the demand for technology for aging-at-home, which can provide reliable, unobtrusive monitoring of human activity, is expected to expand.
Barbara Pȩkala +3 more
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Quadratic transformation of multivariate aggregation functions

Dependence Modeling, 2020
In this work, we prove that quadratic transformations of aggregation functions must come from quadratic aggregation functions. We also show that this is different from quadratic transformations of (multivariate) semi-copulas and quasi-copulas.
Boonmee Prakassawat, Tasena Santi
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Assessment Measures of an Ensemble Classifier Based on the Distributivity Equation to Predict the Presence of Severe Coronary Artery Disease

International Journal of Applied Mathematics and Computer Science, 2023
The aim of this study is to apply and evaluate the usefulness of the hybrid classifier to predict the presence of serious coronary artery disease based on clinical data and 24-hour Holter ECG monitoring.
Rak Ewa +3 more
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Multiple Optimal Solutions and the Best Lipschitz Constants Between an Aggregation Function and Associated Idempotized Aggregation Function

Axioms, 2021
This paper presents and compares the optimal solutions and the theoretical and empirical best Lipschitz constants between an aggregation function and associated idempotized aggregation function.
Hui-Chin Tang, Wei-Ting Chen
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Discrete Integrals Based on Comonotonic Modularity

Axioms, 2013
It is known that several discrete integrals, including the Choquet and Sugeno integrals, as well as some of their generalizations, are comonotonically modular functions.
Jean-Luc Marichal, Miguel Couceiro
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New Arithmetic Operations of Non-Normal Fuzzy Sets Using Compatibility

Axioms, 2023
The new arithmetic operations of non-normal fuzzy sets are studied in this paper by using the extension principle and considering the general aggregation function. Usually, the aggregation functions are taken to be the minimum function or t-norms.
Hsien-Chung Wu
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Adenosine Triphosphate (ATP) and Protein Aggregation in Age-Related Vision-Threatening Ocular Diseases

Metabolites, 2023
Protein aggregation is the etiopathogenesis of the three most profound vision-threatening eye diseases: age-related cataract, presbyopia, and age-related macular degeneration.
Jack V. Greiner, Thomas Glonek
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aggregation
platelet aggregation