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Wyświetlanie 1-10 z 10
Tytuł:
Some q-rung orthopair linguistic Heronian mean operators with their application to multi-attribute group decision making
Autorzy:
Li, L.
Zhang, R.
Shang, X.
Powiązania:
https://bibliotekanauki.pl/articles/229742.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
q-rung orthopair fuzzy set
q-rung orthopair linguistic set
Heronian mean
q-rung orthopair linguistic Heronian mean
multi-attribute group decision making
Opis:
The recently proposed q-rung orthopair fuzzy set (q-ROFS) characterized by a membership degree and a non-membership degree is powerful tool for handling uncertainty and vagueness. This paper proposes the concept of q-rung orthopair linguistic set (q-ROLS) by combining the linguistic term sets with q-ROFSs. There after, we investigate multi-attribute group decision making (MAGDM) with q-rung orthopair linguistic information. To aggregate q-rung orthopair linguistic numbers (q-ROLNs), we extend the Heronian mean (HM) to q-ROLSs and propose a family of q-rung orthopair linguistic Heronian mean operators, such as the q-rung orthopair linguistic Heronian mean (q-ROLHM) operator, the q-rung orthopair linguistic weighted Heronian mean (q-ROLWHM) operator, the q-rung orthopair linguistic geometric Heronian mean (q-ROLGHM) operator and the q-rung orthopair linguistic weighted geometric Heronian mean (q-ROLWGHM) operator. Some desirable properties and special cases of the proposed operators are discussed. Further, we develop a novel approach to MAGDM within q-rung orthopair linguistic context based on the proposed operators. A numerical instance is provided to demonstrate the effectiveness and superiorities of the proposed method.
Źródło:
Archives of Control Sciences; 2018, 28, 4; 551-583
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
$G_δ$-sets in topological spaces and games
Autorzy:
Winfried, Just
Sheepers, Marion
Steprans, Juris
Szeptycki, Paul
Powiązania:
https://bibliotekanauki.pl/articles/1205436.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
game
strategy
Lusin set, Sierpiński set, Rothberger's property C"
concentrated set
λ-set, σ-set
perfectly meager set, Q-set
$s_0$-set
$A_1$-set
$A_2$-set
$A_3$-set
${\ninegot b}$
${\ninegot d}$
Opis:
Players ONE and TWO play the following game: In the nth inning ONE chooses a set $O_n$ from a prescribed family ℱ of subsets of a space X; TWO responds by choosing an open subset $T_n$ of X. The players must obey the rule that $O_n ⊆ O_{n+1} ⊆ T_{n+1} ⊆ T_n$ for each n. TWO wins if the intersection of TWO's sets is equal to the union of ONE's sets. If ONE has no winning strategy, then each element of ℱ is a $G_δ$-set. To what extent is the converse true? We show that:
 (A) For ℱ the collection of countable subsets of X:
  1. There are subsets of the real line for which neither player has a winning strategy in this game.
  2. The statement "If X is a set of real numbers, then ONE does not have a winning strategy if, and only if, every countable subset of X is a $G_δ$-set" is independent of the axioms of classical mathematics.
  3. There are spaces whose countable subsets are $G_δ$-sets, and yet ONE has a winning strategy in this game.
  4. For a hereditarily Lindelöf space X, TWO has a winning strategy if, and only if, X is countable.
 (B) For ℱ the collection of $G_σ$-subsets of a subset X of the real line the determinacy of this game is independent of ZFC.
Źródło:
Fundamenta Mathematicae; 1997, 153, 1; 41-58
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Almost disjoint families and property (a)
Autorzy:
Szeptycki, Paul
Vaughan, Jerry
Powiązania:
https://bibliotekanauki.pl/articles/1205285.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
property (a), density
extent
almost disjoint families
Ψ-space
CH
GCH
Martin's Axiom
$\got p = \got c$
Cohen forcing
Q-set
weakly inaccessible cardinal.
Opis:
We consider the question: when does a Ψ-space satisfy property (a)? We show that if $|A| < \got p$ then the Ψ-space Ψ(A) satisfies property (a), but in some Cohen models the negation of CH holds and every uncountable Ψ-space fails to satisfy property (a). We also show that in a model of Fleissner and Miller there exists a Ψ-space of cardinality $\got p$ which has property (a). We extend a theorem of Matveev relating the existence of certain closed discrete subsets with the failure of property (a).
Źródło:
Fundamenta Mathematicae; 1998, 158, 3; 229-240
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Evaluation of medical service quality based on a novel multi-criteria decision-making method with unknown weighted information
Autorzy:
Zhao, Butian
Zhang, Runtong
Xing, Yuping
Powiązania:
https://bibliotekanauki.pl/articles/1845505.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
interval-valued q-rung dual hesitant fuzzy set
Maclaurin symmetric mean operator
multi-criteria decision-making
aggregation operators
Opis:
In modern society, people concern more about the evaluation of medical service quality. Evaluation of medical service quality is helpful for medical service providers to supervise and improve their service quality. Also, it will help the public to understand the situation of different medical providers. As a multi-criteria decision-making (MCDM) problem, evaluation of medical service quality can be effectively solved by aggregation operators in interval-valued q-rung dual hesitant fuzzy (IVq-RDHF) environment. Thus, this paper proposes interval-valued q-rung dual hesitant Maclaurin symmetric mean (IVq-RDHFMSM) operator and interval-valued q-rung dual hesitant weighted Maclaurin symmetric mean (IVq-RDHFWMSM) operator. Based on the proposed IVq-RDHFWMSM operator, this paper builds a novel approach to solve the evaluation problem of medical service quality including a criteria framework for the evaluation of medical service quality and a novel MCDM method. What’s more, aiming at eliminating the discordance between decision information and weight vector of criteria determined by decisionmakers (DMs), this paper proposes the concept of cross-entropy and knowledge measure in IVq-RDHF environment to extract weight vector from DMs’ decision information. Finally, this paper presents a numerical example of the evaluation of medical service for hospitals to illustrate the availability of the novel method and compares our method with other MCDM methods to demonstrate the superiority of our method. According to the comparison result, our method has more advantages than other methods.
Źródło:
Archives of Control Sciences; 2021, 31, 3; 645-685
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Evaluation of medical service quality based on a novel multi-criteria decision-making method with unknown weighted information
Autorzy:
Zhao, Butian
Zhang, Runtong
Xing, Yuping
Powiązania:
https://bibliotekanauki.pl/articles/1845522.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
interval-valued q-rung dual hesitant fuzzy set
Maclaurin symmetric mean
operator
multi-criteria decision-making
aggregation operators
Opis:
In modern society, people concern more about the evaluation of medical service quality. Evaluation of medical service quality is helpful for medical service providers to supervise and improve their service quality. Also, it will help the public to understand the situation of different medical providers. As a multi-criteria decision-making (MCDM) problem, evaluation of medical service quality can be effectively solved by aggregation operators in interval-valued q-rung dual hesitant fuzzy (IVq-RDHF) environment. Thus, this paper proposes interval-valued q-rung dual hesitant Maclaurin symmetric mean (IVq-RDHFMSM) operator and interval-valued q-rung dual hesitant weighted Maclaurin symmetric mean (IVq-RDHFWMSM) operator. Based on the proposed IVq-RDHFWMSM operator, this paper builds a novel approach to solve the evaluation problem of medical service quality including a criteria framework for the evaluation of medical service quality and a novel MCDM method. What’s more, aiming at eliminating the discordance between decision information and weight vector of criteria determined by decisionmakers (DMs), this paper proposes the concept of cross-entropy and knowledge measure in IVq-RDHF environment to extract weight vector from DMs’ decision information. Finally, this paper presents a numerical example of the evaluation of medical service for hospitals to illustrate the availability of the novel method and compares our method with other MCDM methods to demonstrate the superiority of our method. According to the comparison result, our method has more advantages than other methods.
Źródło:
Archives of Control Sciences; 2021, 31, 3; 645-685
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Anapplication of decision rules in reinforcement learning
Autorzy:
Michalski, A.
Powiązania:
https://bibliotekanauki.pl/articles/206534.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
decision rules
Q-learning
reinforcement learning
rough set theory
Opis:
In this paper an application of decision rules to function representation in reinforcement learning is described. Rules are generated incrementally by method based on rough set theory from instances recorded in state-action-Q-value memory. Simulation experiment investigating the performance of the system and results achieved are reported.
Źródło:
Control and Cybernetics; 2000, 29, 4; 989-996
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fuzzy Sub-Equality Algebras Based on Fuzzy Points
Autorzy:
Kologani, Mona Aaly
Takallo, Mohammad Mohseni
Jun, Young Bae
Borzooei, Rajab Ali
Powiązania:
https://bibliotekanauki.pl/articles/43188660.pdf
Data publikacji:
2024
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
equality algebra
fuzzy set
fuzzy point
fuzzy ideal
sub-equality algebras
\((\in, \in)\)-fuzzy sub-equality algebras
\((\in, \in\! \vee \, {q})\)-fuzzy sub-equality algebras
\((q, \in\! \vee \, {q})\)-fuzzy sub-equality algebras
Opis:
In this paper, by using the notion of fuzzy points and equality algebras, the notions of fuzzy point equality algebra, equality-subalgebra, and ideal were established. Some characterizations of fuzzy subalgebras were provided by using such concepts. We defined the concepts of \((\in, \in)\) and \((\in, \in\! \vee \, {q})\)-fuzzy ideals of equality algebras, discussed some properties, and found some equivalent definitions of them. In addition, we investigated the relation between different kinds of \((\alpha,\beta)\)-fuzzy subalgebras and \((\alpha,\beta)\)-fuzzy ideals on equality algebras. Also, by using the notion of \((\in, \in)\)-fuzzy ideal, we defined two equivalence relations on equality algebras and we introduced an order on classes of \(X\), and we proved that the set of all classes of \(X\) by these order is a poset.
Źródło:
Bulletin of the Section of Logic; 2024, 53, 2; 195-222
0138-0680
2449-836X
Pojawia się w:
Bulletin of the Section of Logic
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
KP-digraphs and CKI-digraphs satisfying the k-Meyniels condition
Autorzy:
Galeana-Sánchez, H.
Neumann-Lara, V.
Powiązania:
https://bibliotekanauki.pl/articles/972038.pdf
Data publikacji:
1996
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
digraph
kernel
independent set of vertices
absorbing set of vertices
kernel-perfect digraph
critical-kernel-imperfect digraph
τ-system
τ₁-system
indepedent kernel modulo Q
co-rooted tree
τ-construction
τ₁-construction
Opis:
A digraph D is said to satisfy the k-Meyniel’s condition if each odd directed cycle of D has at least k diagonals. The study of the k-Meyniel’s condition has been a source of many interesting problems, questions and results in the development of Kernel Theory. In this paper we present a method to construct a large variety of kernel-perfect (resp. critical kernel-imperfect) digraphs which satisfy the k-Meyniel’s condition.
Źródło:
Discussiones Mathematicae Graph Theory; 1996, 16, 1; 5-16
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Retracts and Q-independence
Autorzy:
Chwastyk, Anna
Powiązania:
https://bibliotekanauki.pl/articles/728880.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
general algebra
term function
Q-independence
M, I, S, S₀, A₁, G-independence
t-independence
retraction
retract
Stone algebra
skeleton and set of dense element of Stone algebra
Glivenko congruence
Opis:
A non-empty set X of a carrier A of an algebra A is called Q-independent if the equality of two term functions f and g of the algebra A on any finite system of elements a₁,a₂,...,aₙ of X implies f(p(a₁),p(a₂),...,p(aₙ)) = g(p(a₁),p(a₂),...,p(aₙ)) for any mapping p ∈ Q. An algebra B is a retract of A if B is the image of a retraction (i.e. of an idempotent endomorphism of B). We investigate Q-independent subsets of algebras which have a retraction in their set of term functions.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2007, 27, 2; 235-243
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On monadic quantale algebras: basic properties and representation theorems
Autorzy:
Solovyov, Sergey
Powiązania:
https://bibliotekanauki.pl/articles/729061.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
m-semilattice
⋁-lattice
quantale
quantale module
topological system
tropological system
quantale algebra
quantaloid
quantale algebroid
quantifier
monadic quantale algebra
Girard quantale
Q-equivalence relation
Ω-valued set
GL-monoid
commutative integral cl-monoid
Opis:
Motivated by the concept of quantifier (in the sense of P. Halmos) on different algebraic structures (Boolean algebras, Heyting algebras, MV-algebras, orthomodular lattices, bounded distributive lattices) and the resulting notion of monadic algebra, the paper introduces the concept of a monadic quantale algebra, considers its properties and provides several representation theorems for the new structures.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2010, 30, 1; 91-118
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
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