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AIMS Mathematics

2020, Volume 5, Issue 5: 4311-4321. doi: 10.3934/math.2020275
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Research article

$L$-biconvex sets on some fuzzy algebraic substructures

  • 1.
    School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, PR China
  • 2.
    Department of Mathematics, Shantou University, Guangdong, 515063, PR China
  • Received: 26 December 2019 Accepted: 23 April 2020 Published: 08 May 2020

  • MSC : 52A01, 54A40

  • With a complete residuated lattice $L$ as the set of truth values, we first introduce the concept of $L$-biconvex sets. Then we focus on investigating the forms of $L$-biconvex sets on three fuzzy algebraic substructures which are $L$-subsemilattices, $L$-sublattices and $L$-Boolean sublattices.

    Citation: Hui Yang, Yi Shi. $L$-biconvex sets on some fuzzy algebraic substructures[J]. AIMS Mathematics, 2020, 5(5): 4311-4321. doi: 10.3934/math.2020275

    Related Papers:

  • With a complete residuated lattice $L$ as the set of truth values, we first introduce the concept of $L$-biconvex sets. Then we focus on investigating the forms of $L$-biconvex sets on three fuzzy algebraic substructures which are $L$-subsemilattices, $L$-sublattices and $L$-Boolean sublattices.


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