Temat: Ideal - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Positive Implicative Soju Ideals in BCK-Algebras
Autorzy:: Xin, Xiao Long
Borzooei, Rajab Ali
Jun, Young Bae
Powiązania:: https://bibliotekanauki.pl/articles/749900.pdf
Data publikacji:: 2019
Wydawca:: Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:: soju subalgebra
soju ideal
positive implicative soju ideal
Opis:: The notion of positive implicative soju ideal in BCK-algebra is introduced, and several properties are investigated. Relations between soju ideal and positive implicative soju ideal are considered, and characterizations of positive implicative soju ideal are established. Finally, extension property for positive implicative soju ideal is constructed.
Źródło:: Bulletin of the Section of Logic; 2019, 48, 1
0138-0680
2449-836X
Pojawia się w:: Bulletin of the Section of Logic
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Int-Soft Ideals of Pseudo MV-Algebras
Autorzy:: Jun, Young Bae
Song, Seok-Zun
Bordbar, Hashem
Powiązania:: https://bibliotekanauki.pl/articles/749894.pdf
Data publikacji:: 2018
Wydawca:: Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:: int-soft ideal
implicative int-soft ideal
Opis:: The notion of (implicative) int-soft ideal in a pseudo MV -algebra is introduced, and related properties are investigated. Conditions for a soft set to be an int-soft ideal are provided. Characterizations of (implicative) int-soft ideal are considered. The extension property for implicative int-soft ideal is established.
Źródło:: Bulletin of the Section of Logic; 2018, 47, 1
0138-0680
2449-836X
Pojawia się w:: Bulletin of the Section of Logic
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 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

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Skocz do pozycji: 4.

Tytuł:: Complex Fuzzy Sets with Application in BCK/BCI-Algebras
Autorzy:: Jun, Young Bae
Xin, Xiao Long
Powiązania:: https://bibliotekanauki.pl/articles/749996.pdf
Data publikacji:: 2019
Wydawca:: Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:: complex t-norm
min-complex t-norm
complex subalgebra
complex left (right) reduced ideal
complex characteristic function
Opis:: As a generation of fuzzy set, the notion of complex fuzzy set which is an innovative concept is introduced by Ramot, Milo, Friedman and Kandel. The purpose of this article is to apply complex fuzzy set to BCK/BCI-algebras. The notions of a complex subalgebra and a complex left (right) reduced ideal in a BCK/BCI- algebra are introduced, and related properties are investigated. Characterizations of a complex subalgebra are provided, and the homomorphic image (preimage) of a complex subalgebra and a complex left (right) reduced ideal.
Źródło:: Bulletin of the Section of Logic; 2019, 48, 3; 173-185
0138-0680
2449-836X
Pojawia się w:: Bulletin of the Section of Logic
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: Commutative Energetic Subsets of BCK-Algebras
Autorzy:: Jun, Young Bae
Roh, Eun Hwan
Song, Seok Zun
Powiązania:: https://bibliotekanauki.pl/articles/749982.pdf
Data publikacji:: 2016
Wydawca:: Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:: S-energetic subset
I-energetic subset
C-energetic subset
(anti) fuzzy commutative ideal
(anti) permeable I-value
(anti) permeable C-value
Opis:: The notions of a C-energetic subset and (anti) permeable C-value in BCK-algebras are introduced, and related properties are investigated. Conditions for an element t in [0, 1] to be an (anti) permeable C-value are provided. Also conditions for a subset to be a C-energetic subset are discussed. We decompose BCK-algebra by a partition which consists of a C-energetic subset and a commutative ideal.
Źródło:: Bulletin of the Section of Logic; 2016, 45, 1
0138-0680
2449-836X
Pojawia się w:: Bulletin of the Section of Logic
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 6.

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

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