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On a Class QL-Implications

  • Conference paper
High Performance Networking, Computing, and Communication Systems (ICHCC 2011)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 163))

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Abstract

In this work, we introduce a class QL-operators based on the family of Schweizer-sklar t-norms and t-conorms. Firstly, we have shown that not all QL-operations are fuzzy implications. Moreover, It was given that characterization about QL-operator is QL-implication. The necessary and sufficient conditions that QL-implications satisfied (IP) are given. It is shown that QL-implications satisfies (IP) if and only if QL-implications satisfies (OP) for λ 1 = − ∞.

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Author information

Authors and Affiliations

  1. Department of Mathematics, China Jiliang University, Hangzhou, 310018, Zhejiang Province, P.R. China

    Minxia Luo & Ni Sang

Authors
  1. Minxia Luo
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  2. Ni Sang
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Editors and Affiliations

  1. Huazhong Normal University, Luoyu Road 452, 430079, Wuhan, Hubei, China

    Yanwen Wu

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© 2011 Springer-Verlag Berlin Heidelberg

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Luo, M., Sang, N. (2011). On a Class QL-Implications. In: Wu, Y. (eds) High Performance Networking, Computing, and Communication Systems. ICHCC 2011. Communications in Computer and Information Science, vol 163. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25002-6_18

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  • DOI: https://doi.org/10.1007/978-3-642-25002-6_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-25001-9

  • Online ISBN: 978-3-642-25002-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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