Soft BL-algebras based on fuzzy sets

  • Authors:
  • Jianming Zhan;Young Bae Jun

  • Affiliations:
  • Department of Mathematics, Hubei Institute for Nationalities, Enshi, Hubei Province, 445000, PR China;Department of Mathematics Education (and RINS), Gyeongsang National University, Chinju 660-701, Republic of Korea

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2010

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Abstract

By means of @?-soft sets and q-soft sets, some characterizations of (implicative, positive implicative and fantastic) filteristic soft BL-algebras are investigated. Finally, we prove that a soft set is an implicative filteristic soft BL-algebra if and only if it is both a positive implicative filteristic soft BL-algebra and a fantastic filteristic soft BL-algebra.