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Some kinds of falling fuzzy filters of lattice implication algebras

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Abstract

In this paper, the concepts of falling fuzzy (implicative, associative) filters of lattice implication algebras based on the theory of falling shadows and fuzzy sets are presented at first. And then the relations between fuzzy (implicative, associative) filters and falling fuzzy (implicative, associative) filters are provided. In particular, we put forward an open question on a kind of falling fuzzy filters of lattice implication algebras. Finally, we apply falling fuzzy inference relations to lattice implication algebras and obtain some related results.

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Authors and Affiliations

  1. Department of Mathematics, Hubei University for Nationalities, Enshi, 445000, China

    Xue-ling Ma & Jian-ming Zhan

  2. Department of Mathematics Education, Gyeongsang National University, Chinju, 660-701, Korea

    Young-Bae Jun

Authors
  1. Xue-ling Ma
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  2. Jian-ming Zhan
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  3. Young-Bae Jun
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Correspondence to Jian-ming Zhan.

Additional information

Supported by National Natural Science Foundation of China (11461025, 61175055).

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Ma, Xl., Zhan, Jm. & Jun, YB. Some kinds of falling fuzzy filters of lattice implication algebras. Appl. Math. J. Chin. Univ. 30, 299–316 (2015). https://doi.org/10.1007/s11766-015-3204-z

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  • DOI: https://doi.org/10.1007/s11766-015-3204-z

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