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Generalized Fuzzy Regular Filters on Residuated Lattices

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Rough Sets and Knowledge Technology (RSKT 2015)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9436))

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Abstract

The aim of this paper is further to develop the fuzzy filter theory of general residuated lattices. The concepts of \((\in ,\in \vee q_{k})\)-fuzzy positive implicative filter, \((\in ,\in \vee q_{k})\)-fuzzy MV filter and \((\in ,\in \vee q_{k})\)-fuzzy regular filter are introduced; Their properties are investigated, and some equivalent characterizations of these generalized fuzzy filters are also derived.

This work is supported by National Natural Science Foundation of P.R.China (Grant no. 61175055, 61305074); The Application Basic Research Plan Project of Sichuan Province (No.2015JY0120), The Scientific Research Project of Department of Education of Sichuan Province (14ZA0245, 15ZB0270).

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Authors and Affiliations

  1. Data Recovery Key Lab of Sichuan Province, Neijiang Normal University, Neijiang, 641000, Sichuan, People’s Republic of China

    Yi Liu

  2. College of Mathematics and Information Sciences, Neijiang Normal University, Neijiang, 641000, Sichuan, People’s Republic of China

    Lianming Mou

Authors
  1. Yi Liu
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  2. Lianming Mou
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Correspondence to Yi Liu .

Editor information

Editors and Affiliations

  1. University of Milano-Bicocca, Milano, Italy

    Davide Ciucci

  2. Chongqing University of Posts and Telecommunications, Chongqing, China

    Guoyin Wang

  3. Indian Statistical Institute, Kolkata, India

    Sushmita Mitra

  4. Zhejiang Ocean University, Zhejiang, China

    Wei-Zhi Wu

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Liu, Y., Mou, L. (2015). Generalized Fuzzy Regular Filters on Residuated Lattices. In: Ciucci, D., Wang, G., Mitra, S., Wu, WZ. (eds) Rough Sets and Knowledge Technology. RSKT 2015. Lecture Notes in Computer Science(), vol 9436. Springer, Cham. https://doi.org/10.1007/978-3-319-25754-9_32

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  • DOI: https://doi.org/10.1007/978-3-319-25754-9_32

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-25753-2

  • Online ISBN: 978-3-319-25754-9

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