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Interval-Valued Intuitionistic (T, S)-Fuzzy LI-Ideals in Lattice Implication Algebras

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Quantitative Logic and Soft Computing 2016

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 510))

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Abstract

Combining interval-valued intuitionistic fuzzy sets, t-norm T and s-norm S on D[0, 1] with the notion of ideal in lattice implication algebras, the concepts of interval-valued intuitionistic (T, S)-fuzzy LI-ideal and interval-valued intuitionistic (T, S)-fuzzy lattice ideal are introduced, some their properties are investigated. Some characterization theorems of interval-valued intuitionistic (T, S)-fuzzy LI-ideals are obtained. It is proved that the notion of interval-valued intuitionistic (T, S)-fuzzy LI-ideal is equivalent to the notion of interval-valued intuitionistic (T, S)-fuzzy lattice ideal in a lattice H implication algebra.

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Acknowledgments

The work is supported by the Higher School Research Foundation of Inner Mongolia (NJSY14283).

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Chifeng University, Chifeng, 024001, China

    Chun-Hui Liu

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  1. Chun-Hui Liu
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Correspondence to Chun-Hui Liu .

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Editors and Affiliations

  1. Zhejiang, Zhejiang Sci-Tech University Zhejiang, Hangzhou, China

    Tai-He Fan

  2. Fujian, Jimei University Fujian, Xiamen, China

    Shui-Li Chen

  3. Zhejiang, Zhejiang Sci-Tech University Zhejiang, Hangzhou, China

    San-Min Wang

  4. Yanta, Shaanxi Normal University Yanta, Xi’an, China

    Yong-Ming Li

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Liu, CH. (2017). Interval-Valued Intuitionistic (T, S)-Fuzzy LI-Ideals in Lattice Implication Algebras. In: Fan, TH., Chen, SL., Wang, SM., Li, YM. (eds) Quantitative Logic and Soft Computing 2016. Advances in Intelligent Systems and Computing, vol 510. Springer, Cham. https://doi.org/10.1007/978-3-319-46206-6_33

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  • DOI: https://doi.org/10.1007/978-3-319-46206-6_33

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-46205-9

  • Online ISBN: 978-3-319-46206-6

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