Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Relations between Regular Uni-soft Filters and Uni-soft MV - filters in Residuated Lattices

  • Muhiuddin, Ghulam (Department of Mathematics, University of Tabuk) ;
  • Park, Chul Hwan (School of Digital Mechanics, Ulsan College) ;
  • Jun, Young Bae (The Research Institute of Natural Science, Department of Mathematics Education, Gyeongsang National University)
  • Received : 2014.09.11
  • Accepted : 2016.01.21
  • Published : 2017.03.23
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Abstract

The notions of regular uni-soft filters, uni-soft MV -filters and Boolean uni-soft filters are introduced, and related properties are investigated. Characterizations of regular uni-soft filters, uni-soft MV -filters and Boolean uni-soft filters are discussed.Relations between regular uni-soft filters and uni-soft MV -filters are considered. It is shown that the notion of a uni-soft MV -filter coincides with the notion of a regular uni-soft filter in BL-algebras.

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References

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