Results 11 to 20 of about 402,684 (305)

The transport problem for non-additive measures

open access: yesEuropean Journal of Operational Research, 2023
Non-additive measures, also known as fuzzy measures, capacities, and monotonic games, are increasingly used in different fields. Applications have been built within computer science and artificial intelligence related to e.g. decision making, image processing, machine learning for both classification, and regression.
Vicenç Torra
exaly   +5 more sources

How Quantum Mechanics Requires Non-Additive Measures

open access: yesEntropy, 2023
Measure theory is used in physics, not just to capture classical probability, but also to quantify the number of states. In previous works, we found that state quantification plays a foundational role in classical mechanics, and, therefore, we set ...
Gabriele Carcassi, Christine A. Aidala
doaj   +4 more sources

Recursive Aggregation and Its Fusion Process for Intuitionistic Fuzzy Numbers Based on Non-Additive Measure

open access: yesAxioms, 2022
In this paper, the recursive aggregation of OWA operators for intuitionistic fuzzy numbers (IFN) based on a non-additive measure (NAM) with σ−λ rules is constructed and investigated in light of the σ−λ rules of a non-additive measure (NAM). Additionally,
Yongfu Shi, Zengtai Gong
doaj   +2 more sources

A Philosophical Foundation of Non-Additive Measure and Probability [PDF]

open access: yesTheory and Decision, 2006
ISSN:1573 ...
Sebastian Maaß, Maaß, Sebastian
openaire   +4 more sources

A new approach to the bipolar Shilkret integral [PDF]

open access: yesMathematics and Computational Sciences, 2022
: Capacity, also known as a non-additive measure, is an extension of the Lebesgue measure. In recent years, bi-capacity was presented as a generalization of capacity with several bipolar fuzzy integrals related to bi-capacity, one of them being the ...
Jabbar Ghafil
doaj   +1 more source

A Probabilistic Integral Study of Quasiproduct Overa Nonadditive Measure

open access: yesJournal of Harbin University of Science and Technology, 2021
In this paper, a definition of non additive measure is given, which has F-addability; the Einstein calculater is optimized, and the λ-fuzzy quasiproduct operator and λ-fuzzy quasi sum operator with adjustable parameters for practical problems are ...
ZHAO Hui, ZHANG Xiao-xue, ZHANG Shao-xin
doaj   +1 more source

Spaces of non-additive measures generated by triangular norms

open access: yesМатематичні Студії, 2023
We consider non-additive measures on the compact Hausdorff spaces, which are generalizations of the idempotent measures and max-min measures. These measures are related to the continuous triangular norms and they are defined as functionals on the spaces ...
Kh. Sukhorukova
doaj   +1 more source

Simplest non-additive measures of quantum resources [PDF]

open access: yesQuantum Information Processing, 2021
Given an arbitrary state $ρ$ and some figure of merit ${\cal E}(ρ)$, it is usually a hard problem to determine the value of ${\cal E}(ρ^{\otimes N})$. One noticeable exception is the case of additive measures, for which we simply have ${\cal E}(ρ^{\otimes N}) = Ne$, with $e\equiv {\cal E}(ρ)$.
L. F. Melo, Fernando Parisio
openaire   +2 more sources

Construction of Regular Non-Atomic Strictly-Positive Measures in Second-Countable Non-Atomic Locally Compact Hausdorff Spaces

open access: yesAnnales Mathematicae Silesianae, 2022
This paper presents a constructive proof of the existence of a regular non-atomic strictly-positive measure on any second-countable non-atomic locally compact Hausdorff space.
Bentley Jason
doaj   +1 more source

The Association Between Genomic Heterozygosity and Carcass Merit in Cattle

open access: yesFrontiers in Genetics, 2022
The objective of the present study was to quantify the association between both pedigree and genome-based measures of global heterozygosity and carcass traits, and to identify single nucleotide polymorphisms (SNPs) exhibiting non-additive associations ...
David Kenny   +6 more
doaj   +1 more source

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