4.7 Article

Soft BL-algebras based on fuzzy sets

Journal

COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 59, Issue 6, Pages 2037-2046

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2009.12.008

Keywords

Soft BL-algebra; (is an element of, is an element of boolean OR q)-fuzzy (implicative, positive implicative, fantastic) filter; ((is an element of)over-bar, (is an element of)over-bar boolean OR (q)over-bar)-fuzzy (implicative, positive implicative, fantastic) filter; Fuzzy (implicative, positive implicative, fantastic) filter with thresholds; (Implicative, positive implicative, fantastic) filteristic soft BL-algebra

Funding

  1. National Natural Science Foundation of China [60875034]
  2. Natural Science Foundation of Education Committee of Hubei Province, China [D20092901, Q20092907, D20082903, B200529001]
  3. Natural Science Foundation of Hubei Province, China [2008CDB341, 2009CDB340]

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By means of E-soft sets and q-soft sets, implicative and fantastic) filteristic soft that a soft set is an implicative filteristic implicative filteristic soft BL-algebra and some characterizations of (implicative, positive BL-algebras are investigated. Finally, we prove soft BL-algebra if and only if it is both a positive a fantastic filteristic soft BL-algebra. (C) 2009 Elsevier Ltd. All rights reserved.

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