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Lattice structure on some fuzzy algebraic systems

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Abstract

In this paper, we study the lattice structure of some fuzzy algebraic systems such as (G-)fuzzy groups, some fuzzy ordered algebras and fuzzy hyperstructures. We prove that under suitable conditions, these structures form a distributive or modular lattice.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Shahid Beheshti University, Tehran, Iran

    R. A. Borzooei

  2. Department of Mathematics, Bojnord University, Bojnord, Iran

    M. Bakhshi

  3. Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran

    M. Mashinchi

Authors
  1. R. A. Borzooei
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  2. M. Bakhshi
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  3. M. Mashinchi
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Corresponding author

Correspondence to R. A. Borzooei.

Additional information

This research partially is supported by the “ Fuzzy Systems and its Applications Center of Excelence, Shahid Bahonar University of Kerman, Iran”.

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Borzooei, R.A., Bakhshi, M. & Mashinchi, M. Lattice structure on some fuzzy algebraic systems. Soft Comput 12, 739–749 (2008). https://doi.org/10.1007/s00500-007-0232-5

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  • DOI: https://doi.org/10.1007/s00500-007-0232-5

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