• Title, Summary, Keyword: int-soft implicative filter

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INT-SOFT POSITIVE IMPLICATIVE FILTERS IN BE-ALGEBRAS

  • PARK, JUNG HEE;KIM, YOUNG HEE
    • Journal of applied mathematics & informatics
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    • v.33 no.3_4
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    • pp.459-467
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    • 2015
  • The notion of int-soft implicative filters of a BE-algebra is introduced, and related properties are investigated. The problem of clas- sifying int-soft positive implicative by their γ-inclusive filter is solved. We provide conditions for a soft set to be an int-soft filter. We make a new int-soft implicative filter from old one.

INT-SOFT FILTERS IN LATTICE IMPLICATION ALGEBRAS

  • Jun, Young Bae;Xu, Yang;Zhang, Xiaohong
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.5
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    • pp.1483-1495
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    • 2016
  • The notion of int-soft (implicative) filters in lattice implication algebras is introduced, and related properties are investigated. Characterizations of int-soft (implicative) filters are discussed. Conditions for an int-soft filter to be an int-soft implicative filter are provided. Extension property for int-soft implicative filters is established.

INT-SOFT MIGHTY FILTERS IN BE-ALGEBRAS

  • KIM, YOUNG HEE;PARK,
    • Journal of applied mathematics & informatics
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    • v.34 no.5_6
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    • pp.527-536
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    • 2016
  • In this paper, we introduce the notions about int-soft mighty filters, int-soft n-fold mighty filters, and int-soft n-fold positive implicative filters of BE-algebras. We investigate their properties and provide conditions which have connecting relationship among int-soft filters, int-soft mighty filters, and int-soft positive implicative filters. Also, characterizations of int-soft n-fold mighty filters and int-soft n-fold positive implicative filters are provided in BE-algebras.