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The “Generator” of Int-Soft Filters on Residuated Lattices

Author

Listed:
  • Huarong Zhang

    (College of Science, China Jiliang University, Hangzhou 310000, Zhejiang, China)

  • Minxia Luo

    (College of Science, China Jiliang University, Hangzhou 310000, Zhejiang, China)

Abstract

In this paper, we give the “generator” of int-soft filters and propose the notion of t-int-soft filters on residuated lattices. We study the properties of t-int-soft filters and obtain some commonalities (e.g., the extension property, quotient characteristics, and a triple of equivalent characteristics). We also use involution-int-soft filters as an example and show some basic properties of involution-int-soft filters. Finally, we investigate the relations among t-int-soft filters and give a simple method for judging their relations.

Suggested Citation

  • Huarong Zhang & Minxia Luo, 2019. "The “Generator” of Int-Soft Filters on Residuated Lattices," Mathematics, MDPI, vol. 7(3), pages 1-10, March.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:3:p:236-:d:211354
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    References listed on IDEAS

    as
    1. Jia-Lu Zhang & Hong-Jun Zhou, 2006. "Fuzzy Filters On The Residuated Lattices," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 2(01), pages 11-28.
    2. Pinaki Majumdar & S. K. Samanta, 2008. "Similarity Measure Of Soft Sets," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 4(01), pages 1-12.
    3. Athar Kharal, 2010. "Distance And Similarity Measures For Soft Sets," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 6(03), pages 321-334.
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