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Wyszukujesz frazę "Kologani, Mona Aaly" wg kryterium: Autor


Wyświetlanie 1-3 z 3
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:
Stabilizers on \(L\)-algebras
Autorzy:
Rezaei, Gholam Reza
Aaly Kologani, Mona
Powiązania:
https://bibliotekanauki.pl/articles/43184447.pdf
Data publikacji:
2024
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
\(L\)-algebra
stabilizer
ideal
co-anihiliators
Baire space
topological space
Opis:
The main goal of this paper is to introduce the notion of stabilizers in \(L\)-algebras and develop stabilizer theory in \(L\)-algebras. In this paper, we introduced the notions of left and right stabilizers and investigated some related properties of them. Then, we discussed the relations among stabilizers, ideal and co-annihilators. Also, we obtained that the set of all ideals of a \(CKL\)-algebra forms a relative pseudo-complemented lattice. In addition, we proved that right stabilizers in \(CKL\)-algebra are ideals. Then by using the right stabilizers we produced a basis for a topology on \(L\)-algebra. We showed that the generated topology by this basis is Baire, connected, locally connected and separable and we investigated the other properties of this topology.
Źródło:
Bulletin of the Section of Logic; 2024, 53, 1; 105-124
0138-0680
2449-836X
Pojawia się w:
Bulletin of the Section of Logic
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Roughness of Filters in Equality Algebras
Autorzy:
Rezaei, Gholam Reza
Borzooei, Rajab Ali
Aaly Kologani, Mona
Jun, Young Bae
Powiązania:
https://bibliotekanauki.pl/articles/43180962.pdf
Data publikacji:
2023
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
equality algebra
approximation space
D-lower approximation
D-upper approximation
filter
D-lower filter
D-upper filter
Opis:
Rough set theory is an excellent mathematical tool for the analysis of a vague description of actions in decision problems. Now, in this paper by considering the notion of an equality algebra, the notion of the lower and the upper approximations are introduced and some properties of them are given. Moreover, it is proved that the lower and the upper approximations define an interior operator and a closure operator, respectively. Also, using D-lower and D-upper approximation, conditions for a nonempty subset to be definable are provided and investigated that under which condition D-lower and D-upper approximation can be filter.
Źródło:
Bulletin of the Section of Logic; 2023, 52, 1; 1-18
0138-0680
2449-836X
Pojawia się w:
Bulletin of the Section of Logic
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-3 z 3

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