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The Lattice of Interval Valued -fuzzy Filters in a Given MTL-algebra

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Advances in Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD 2019)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1074))

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Abstract

In the present paper, the interval valued -fuzzy filter theory in MTL-algebras is further studied. Some new properties of interval valued -fuzzy filters are given. It is proved that the set consisting of all interval valued -fuzzy filters in a given MTL-algebra, under the partial order \(\sqsubseteq \), forms a complete distributive lattice.

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Author information

Authors and Affiliations

  1. School of Mathematics and Statistics, Chifeng University, Chifeng, 024000, Inner Mongolia, China

    Chunhui Liu

Authors
  1. Chunhui Liu
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Correspondence to Chunhui Liu .

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Editors and Affiliations

  1. School of Computer Science and Engineering, The University of Aizu, Aizu-Wakamatsu, Fukushima, Japan

    Yong Liu

  2. School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore, Singapore

    Lipo Wang

  3. Computer Science and Mathematics, University of Sao Paulo, Ribeirao Preto, Brazil

    Liang Zhao

  4. School of Information Engineering and Automation, Kunming University of Science and Technology, Kunming, China

    Zhengtao Yu

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Liu, C. (2020). The Lattice of Interval Valued -fuzzy Filters in a Given MTL-algebra. In: Liu, Y., Wang, L., Zhao, L., Yu, Z. (eds) Advances in Natural Computation, Fuzzy Systems and Knowledge Discovery. ICNC-FSKD 2019. Advances in Intelligent Systems and Computing, vol 1074. Springer, Cham. https://doi.org/10.1007/978-3-030-32456-8_76

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