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Wyszukujesz frazę "symmetric group" wg kryterium: Temat


Wyświetlanie 1-5 z 5
Tytuł:
Solutions for network games and symmetric group representations
Autorzy:
Sánchez-Pérez, Joss
Powiązania:
https://bibliotekanauki.pl/articles/406635.pdf
Data publikacji:
2019
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
network game
axiomatic solutions
representation theory
symmetric group
Opis:
We present the relationship between network games and representation theory of the group of permutations of the set of players (nodes), and also offer a different perspective to study solutions for this kind of problems. We then provide several applications of this approach to the cases with three and four players.
Źródło:
Operations Research and Decisions; 2019, 29, 4; 95-123
2081-8858
2391-6060
Pojawia się w:
Operations Research and Decisions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An application of the representations of symmetric groups to characterizing solutions of games in partition function form
Autorzy:
Sánchez-Pérez, J.
Powiązania:
https://bibliotekanauki.pl/articles/406330.pdf
Data publikacji:
2014
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
games in partition function form
value
representation theory
symmetric group
Opis:
A different perspective from the more “traditional” approaches to studying solutions of games in partition function form has been presented. We provide a decomposition of the space of such games under the action of the symmetric group, for the cases with three and four players. In particular, we identify all the irreducible subspaces that are relevant to the study of linear symmetric solutions. We then use such a decomposition to derive a characterization of the class of linear and symmetric solutions, as well as of the class of linear, symmetric and efficient solutions.
Źródło:
Operations Research and Decisions; 2014, 24, 2; 97-122
2081-8858
2391-6060
Pojawia się w:
Operations Research and Decisions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Chromatic Properties of the Pancake Graphs
Autorzy:
Konstantinova, Elena
Powiązania:
https://bibliotekanauki.pl/articles/31341647.pdf
Data publikacji:
2017-08-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
Pancake graph
Cayley graphs
symmetric group
chromatic number
total chromatic number
Opis:
Chromatic properties of the Pancake graphs Pn, n ⩾ 2, that are Cayley graphs on the symmetric group Symn generated by prefix-reversals are investigated in the paper. It is proved that for any n ⩾ 3 the total chromatic number of Pn is n, and it is shown that the chromatic index of Pn is n − 1. We present upper bounds on the chromatic number of the Pancake graphs Pn, which improve Brooks’ bound for n ⩾ 7 and Katlin’s bound for n ⩽ 28. Algorithms of a total n-coloring and a proper (n − 1)-coloring are given.
Źródło:
Discussiones Mathematicae Graph Theory; 2017, 37, 3; 777-787
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Every reasonably sized matrix group is a subgroup of $S_∞$
Autorzy:
Kallman, Robert
Powiązania:
https://bibliotekanauki.pl/articles/1205071.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
infinite symmetric group
matrix groups
nonarchimedian absolute values
field extensions
topological groups
Opis:
Every reasonably sized matrix group has an injective homomorphism into the group $S_∞$ of all bijections of the natural numbers. However, not every reasonably sized simple group has an injective homomorphism into $S_∞$.
Źródło:
Fundamenta Mathematicae; 2000, 164, 1; 35-40
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Spherical fuzzy power partitioned Maclaurin Symmetric Mean Operators and their application in Multiple Attribute Group Decision Making
Autorzy:
Zhang, Huiyuan
Cai, Qiang
Wei, Guiwu
Powiązania:
https://bibliotekanauki.pl/articles/27312003.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:
spherical fuzzy sets
partitioned Maclaurin symmetric mean operator
power average operator
multiple attribute group decision making
Opis:
Spherical fuzzy sets (SFSs) provide more free space for decision makers (DMs) to express preference information from four aspects: approval, objection, abstention and refusal. The partitioned Maclaurin symmetric mean (PMSM) operator is an effective information fusion tool, which can fully capture the interrelationships among any multiple attributes in the same block whereas attributes in different block are unrelated. Therefore, in this paper, we first extend PMSM operator to spherical fuzzy environment and develop spherical fuzzy PMSM (SFPMSM) operator as well as spherical fuzzy weighted PMSM (SFWPMSM) operator. Meanwhile, we discuss some properties and special cases of these two operators. To diminish the impact of extreme evaluation values on decision-making results, then we integrate power average (PA) operator and PMSM operator to further develop spherical fuzzy power PMSM (SFPPMSM) operator and spherical fuzzy weighted power PMSM (SFWPPMSM) operator and also investigate their desirable properties. Subsequently, a new multiple attribute group decision making (MAGDM) method is established based on SFWPPMSM operator under spherical fuzzy environment. Finally, two numerical examples are used to illustrate the proposed method, and comparative analysis with the existing methods to further testy the validity and superiority of the proposed method.
Źródło:
Archives of Control Sciences; 2023, 33, 1; 179--238
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-5 z 5

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