FALLING FUZZY G D̈¨ EL IDEALS OF BL-ALGEBRAS

Authors

  • Biao Long Meng Northwest University - Department of Mathematics
  • Xiao Long Xin Northwest University - Department of Mathematics

Keywords:

BL-algebra, falling shadow, ideal, fuzzy ideal, falling fuzzy ideal, falling fuzzy G¨odel (resp. Boolean, implicative) ideal, falling fuzzy relation

Abstract

The notions of falling fuzzy (resp. G¨odel, Boolean, implicative) ideals of a BL-algebra are introduced based on the theory of falling shadows and fuzzy sets.  Several characterizations and relations of these notions are studied.  Finally we apply the concept of falling fuzzy inference relations to ideal theory of BL-algebras and obtain some related results.

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Published

2017-01-31

How to Cite

Meng, B. L., & Xin, X. L. (2017). FALLING FUZZY G D̈¨ EL IDEALS OF BL-ALGEBRAS. Italian Journal of Pure and Applied Mathematics, 37, 237–258. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6715

Issue

Section

Articoli - Forum Editrice

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