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Wyszukujesz frazę "fuzzy algebra" wg kryterium: Temat


Wyświetlanie 1-3 z 3
Tytuł:
Inf-Hesitant Fuzzy Ideals in BCK/BCI-Algebras
Autorzy:
Jun, Young Bae
Song, Seok-Zun
Powiązania:
https://bibliotekanauki.pl/articles/750012.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
Inf-hesitant fuzzy p-ideal
p-semisimple BCI-algebra
Inf-hesitant fuzzy subalgebra
Inf-hesitant fuzzy ideal
Opis:
Based on the hesitant fuzzy set theory which is introduced by Torra in the paper [12], the notions of Inf-hesitant fuzzy subalgebras, Inf-hesitant fuzzy ideals and Inf-hesitant fuzzy p-ideals in BCK/BCI-algebras are introduced, and their relations and properties are investigated. Characterizations of an Inf-hesitant fuzzy subalgebras, an Inf-hesitant fuzzy ideals and an Inf-hesitant fuzzy p-ideal are considered. Using the notion of BCK-parts, an Inf-hesitant fuzzy ideal is constructed. Conditions for an Inf-hesitant fuzzy ideal to be an Inf-hesitant fuzzy p-ideal are discussed. Using the notion of Inf-hesitant fuzzy (p-) ideals, a characterization of a p-semisimple BCI-algebra is provided. Extension properties for an Inf-hesitant fuzzy p-ideal is established.
Źródło:
Bulletin of the Section of Logic; 2020, 49, 1
0138-0680
2449-836X
Pojawia się w:
Bulletin of the Section of Logic
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On Homomorphism and Cartesian Products of Intuitionistic Fuzzy PMS-subalgebra of a PMS-algebra
Autorzy:
Derseh, Beza Lamesgin
Alaba, Berhanu Assaye
Wondifraw, Yohannes Gedamu
Powiązania:
https://bibliotekanauki.pl/articles/43179778.pdf
Data publikacji:
2023
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
PMS-algebra
intuitionistic fuzzy PMS-subalgebra
homomorphism
cartesian product and strongest intuitionistic fuzzy relation
Opis:
In this paper, we introduce the notion of intuitionistic fuzzy PMS-subalgebras under homomorphism and Cartesian product and investigate several properties. We study the homomorphic image and inverse image of the intuitionistic fuzzy PMS-subalgebras of a PMS-algebra, which are also intuitionistic fuzzy PMS-subalgebras of a PMS-algebra, and find some other interesting results. Furthermore, we also prove that the Cartesian product of intuitionistic fuzzy PMS-subalgebras is again an intuitionistic fuzzy PMS-subalgebra and characterize it in terms of its level sets. Finally, we consider the strongest intuitionistic fuzzy PMS-relations on an intuitionistic fuzzy set in a PMS-algebra and demonstrate that an intuitionistic fuzzy PMS-relation on an intuitionistic fuzzy set in a PMS-algebra is an intuitionistic fuzzy PMS-subalgebra if and only if the corresponding intuitionistic fuzzy set in a PMS-algebra is an intuitionistic fuzzy PMS-subalgebra of a PMS-algebra.
Źródło:
Bulletin of the Section of Logic; 2023, 52, 1; 19-38
0138-0680
2449-836X
Pojawia się w:
Bulletin of the Section of Logic
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
    Wyświetlanie 1-3 z 3

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