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    Wyświetlanie 1-10 z 10
    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
    Artykuł
    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
    Artykuł
    Tytuł:
    SUP-Hesitant Fuzzy Interior Ideals in \(\Gamma\)-Semigroups
    Autorzy:
    Khamrot, Pannawit
    Gaketem, Thiti
    Powiązania:
    https://bibliotekanauki.pl/articles/43188947.pdf
    Data publikacji:
    2024
    Wydawca:
    Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
    Tematy:
    SUP-hesitant fuzzy interior ideal
    hesitant fuzzy interior ideal
    interval valued fuzzy interior ideal
    Opis:
    In this paper, we defined the concept \(\mathcal{SUP}\)-hesitant fuzzy interior ideals in \(\Gamma\)-semigroups, which is generalized of hesitant fuzzy interior ideals in \(\Gamma\)-semigroups. Additionally,  we study fundamental properties of \(\mathcal{SUP}\)-hesitant fuzzy interior ideals in \(\Gamma\)-semigroups. Finally, we investigate characterized properties of those.
    Źródło:
    Bulletin of the Section of Logic; 2024, 53, 2; 155-171
    0138-0680
    2449-836X
    Pojawia się w:
    Bulletin of the Section of Logic
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Erratum to: Congruences and Ideals in a Distributive Lattice with Respect to a Derivation
    Autorzy:
    Barzegar, Hasan
    Powiązania:
    https://bibliotekanauki.pl/articles/749868.pdf
    Data publikacji:
    2019
    Wydawca:
    Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
    Tematy:
    derivation
    kernel
    congruence
    ideal
    kernel element
    Opis:
    The present note is an Erratum for the two theorems of the paper "Congruences and ideals in a distributive lattice with respect to a derivation" by M. Sambasiva Rao.
    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
    Artykuł
    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:
    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:
    Extended BCK-Ideal Based on Single-Valued Neutrosophic Hyper BCK-Ideals
    Autorzy:
    Hamidi, Mohammad
    Powiązania:
    https://bibliotekanauki.pl/articles/43182799.pdf
    Data publikacji:
    2023
    Wydawca:
    Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
    Tematy:
    single-valued neutrosophic (hyper)\(BCK\)-subalgebra
    quasi commutative diagram
    extendable single-valued neutrosophic (hyper)\(BCK\)-ideal
    Opis:
    This paper introduces the concept of single-valued neutrosophic hyper \(BCK\)-subalgebras as a generalization and alternative of hyper \(BCK\)-algebras and on any given nonempty set constructs at least one single-valued neutrosophic hyper \(BCK\)-subalgebra and one a single-valued neutrosophic hyper \(BCK\)-ideal. In this study level subsets play the main role in the connection between singlevalued neutrosophic hyper \(BCK\)-subalgebras and hyper \(BCK\)-subalgebras and the connection between single-valued neutrosophic hyper \(BCK\)-ideals and hyper \(BCK\)-ideals. The congruence and (strongly) regular equivalence relations are the important tools for connecting hyperstructures and structures, so the major contribution of this study is to apply and introduce a (strongly) regular relation on hyper \(BCK\)-algebras and to investigate their categorical properties (quasi commutative diagram) via single-valued neutrosophic hyper \(BCK\)-ideals. Indeed, by using the single-valued neutrosophic hyper \(BCK\)-ideals, we define a congruence relation on (weak commutative) hyper \(BCK\)-algebras that under some conditions is strongly regular and the quotient of any (single-valued neutrosophic)hyper \(BCK\)-(sub)algebra via this relation is a (single-valued neutrosophic)(hyper \(BCK\)-subalgebra) \(BCK\)-(sub)algebra.
    Źródło:
    Bulletin of the Section of Logic; 2023, 52, 4; 411-440
    0138-0680
    2449-836X
    Pojawia się w:
    Bulletin of the Section of Logic
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    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
    Artykuł
    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
    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 1-10 z 10

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