Rough fuzzy (fuzzy rough) strong H-ideals of hemirings

Jianming Zhan, Qi Liu, Hee Sik Kim

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

By means of Dubois and Prade's idea, we apply rough fuzzy sets and fuzzy rough sets to algebraic structures. The concepts of rough fuzzy strong h-ideals (rough fuzzy prime ideals) and fuzzy rough strong h-ideals (fuzzy rough prime ideals) of hemirings are introduced, respectively. The relationships between them are investigated. Some characterizations of these two kinds of rough set theory of hemirings are explored.

Original languageEnglish
Pages (from-to)483-496
Number of pages14
JournalItalian Journal of Pure and Applied Mathematics
Issue number34
StatePublished - 2015 Jan 1

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Rough
Fuzzy Rough Sets
Fuzzy Prime Ideal
Fuzzy Ideal
Rough Set Theory
Prime Ideal
Algebraic Structure

Keywords

  • Fuzzy rough prime ideal
  • Fuzzy rough strong h-ideal
  • Hemiring
  • Rough fuzzy prime ideal
  • Rough fuzzy strong h-ideal
  • Rough set
  • Strong h-ideal

Cite this

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Rough fuzzy (fuzzy rough) strong H-ideals of hemirings. / Zhan, Jianming; Liu, Qi; Kim, Hee Sik.

In: Italian Journal of Pure and Applied Mathematics, No. 34, 01.01.2015, p. 483-496.

Research output: Contribution to journalArticle

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