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Fuzzy and Neutrosophic Sets in Semigroups

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Title: Fuzzy and Neutrosophic Sets in Semigroups
Description: The topics discussed in this book are, among others, Int-soft semigroup, Int-soft left (right) ideal, Int-soft (generalized) bi-ideal, Int-soft quasi-ideal, Int-soft interior ideal, Int-soft left (right) duo semigroup, δ-lower (δ-upper) rough fuzzy subsemigroup, δ-rough fuzzy subsemigroup. The notions of neutrosophic N-subsemigroup, neutrosophic N-product and ε-neutrosophic N-subsemigroup are introduced, and several properties are investigated. Conditions for neutrosophic N-structure to be neutrosophic N-subsemigroup are provided. Using neutrosophic N-product, characterization of neutrosophic N-subsemigroup is discussed. Relations between neutrosophic N-subsemigroup and ε-neutrosophic N-subsemigroup are discussed. It is proved that the homomorphic preimage of neutrosophic N-subsemigroup is a neutrosophic N-subsemigroup, and the onto homomorphic image of neutrosophic N-subsemigroup is a neutrosophic N-subsemigroup.
Authors: Young Bae Jun, Madad Khan, Florentin Smarandache, Saima Anis
Resource Type: eBook.
Subjects: Neutrosophic logic, Fuzzy logic, Semigroups
Categories: MATHEMATICS / Set Theory, MATHEMATICS / Algebra / General
Database: eBook Collection (EBSCOhost)
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Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 2215262
RelevancyScore: 1084
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1083.55249023438
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  Label: Title
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  Data: Fuzzy and Neutrosophic Sets in Semigroups
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  Label: Description
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  Data: The topics discussed in this book are, among others, Int-soft semigroup, Int-soft left (right) ideal, Int-soft (generalized) bi-ideal, Int-soft quasi-ideal, Int-soft interior ideal, Int-soft left (right) duo semigroup, δ-lower (δ-upper) rough fuzzy subsemigroup, δ-rough fuzzy subsemigroup. The notions of neutrosophic N-subsemigroup, neutrosophic N-product and ε-neutrosophic N-subsemigroup are introduced, and several properties are investigated. Conditions for neutrosophic N-structure to be neutrosophic N-subsemigroup are provided. Using neutrosophic N-product, characterization of neutrosophic N-subsemigroup is discussed. Relations between neutrosophic N-subsemigroup and ε-neutrosophic N-subsemigroup are discussed. It is proved that the homomorphic preimage of neutrosophic N-subsemigroup is a neutrosophic N-subsemigroup, and the onto homomorphic image of neutrosophic N-subsemigroup is a neutrosophic N-subsemigroup.
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  Data: <searchLink fieldCode="AR" term="%22Young+Bae+Jun%22">Young Bae Jun</searchLink><br /><searchLink fieldCode="AR" term="%22Madad+Khan%22">Madad Khan</searchLink><br /><searchLink fieldCode="AR" term="%22Florentin+Smarandache%22">Florentin Smarandache</searchLink><br /><searchLink fieldCode="AR" term="%22Saima+Anis%22">Saima Anis</searchLink>
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  Data: eBook.
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  Data: <searchLink fieldCode="DE" term="%22Neutrosophic+logic%22">Neutrosophic logic</searchLink><br /><searchLink fieldCode="DE" term="%22Fuzzy+logic%22">Fuzzy logic</searchLink><br /><searchLink fieldCode="DE" term="%22Semigroups%22">Semigroups</searchLink>
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  Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Set+Theory%22">MATHEMATICS / Set Theory</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Algebra+%2F+General%22">MATHEMATICS / Algebra / General</searchLink>
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    Classifications:
      – Code: 512.2
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Neutrosophic logic
        Type: general
      – SubjectFull: Fuzzy logic
        Type: general
      – SubjectFull: Semigroups
        Type: general
    Titles:
      – TitleFull: Fuzzy and Neutrosophic Sets in Semigroups
        Type: main
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      – PersonEntity:
          Name:
            NameFull: Young Bae Jun
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            NameFull: Madad Khan
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            NameFull: Florentin Smarandache
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            NameFull: Saima Anis
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            NameFull: Young Bae Jun
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            NameFull: Madad Khan
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            NameFull: Florentin Smarandache
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            NameFull: Saima Anis
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2018
            – D: 17
              M: 12
              Type: profile
              Y: 2019
          Identifiers:
            – Type: isbn-electronic
              Value: 9781599735481
          Titles:
            – TitleFull: Fuzzy and Neutrosophic Sets in Semigroups
              Type: main
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