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    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:
    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:
    On GE-algebras
    Autorzy:
    Bandaru, Ravikumar
    Saeid, Arsham Borumand
    Jun, Young Bae
    Powiązania:
    https://bibliotekanauki.pl/articles/1023338.pdf
    Data publikacji:
    2020-08-30
    Wydawca:
    Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
    Tematy:
    (transitive) GE-algebra
    filter
    upper set
    congruence kernel
    Opis:
    Hilbert algebras are important tools for certain investigations in intuitionistic logic and other non-classical logic and as a generalization of Hilbert algebra a new algebraic structure, called a GE-algebra (generalized exchange algebra), is introduced and studied its properties. We consider filters, upper sets and congruence kernels in a GE-algebra. We also characterize congruence kernels of transitive GE-algebras.
    Źródło:
    Bulletin of the Section of Logic; 2021, 50, 1; 81-96
    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:
    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:
    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:
    Length Neutrosophic Subalgebras of BCK=BCI-Algebras
    Autorzy:
    Jun, Young Bae
    Khan, Madad
    Smarandache, Florentin
    Song, Seok-Zun
    Powiązania:
    https://bibliotekanauki.pl/articles/1023278.pdf
    Data publikacji:
    2020-12-30
    Wydawca:
    Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
    Tematy:
    interval neutrosophic set
    interval neutrosophic length
    length neutrosophic subalgebra
    Opis:
    Given i, j, k ∈ {1,2,3,4}, the notion of (i, j, k)-length neutrosophic subalgebras in BCK=BCI-algebras is introduced, and their properties are investigated. Characterizations of length neutrosophic subalgebras are discussed by using level sets of interval neutrosophic sets. Conditions for level sets of interval neutrosophic sets to be subalgebras are provided.
    Źródło:
    Bulletin of the Section of Logic; 2020, 49, 4; 377-400
    0138-0680
    2449-836X
    Pojawia się w:
    Bulletin of the Section of Logic
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Soju Filters in Hoop Algebras
    Autorzy:
    Borzooei, Rajab Ali
    Rezaei, Gholam Reza
    Kologhani, Mona Aaly
    Jun, Young Bae
    Powiązania:
    https://bibliotekanauki.pl/articles/1023327.pdf
    Data publikacji:
    2020-12-30
    Wydawca:
    Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
    Tematy:
    Soju sub-hoop
    soju filter
    implicative soju filter
    Opis:
    The notions of (implicative) soju filters in a hoop algebra are introduced, and related properties are investigated. Relations between a soju sub-hoop, a soju filter and an implicative soju filter are discussed. Conditions for a soju filter to be implicative are displayed, and characterizations of an implicative soju filters are considered. The extension property of an implicative soju filter is established.
    Źródło:
    Bulletin of the Section of Logic; 2021, 50, 1; 97-123
    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
    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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