Privacy-preserving disjunctive normal form operations on distributed sets

Ji Young Chun, Dowon Hong, Ik Rae Jeong, Dong Hoon Lee

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

Privacy-preserving set operations such as set union and set intersection on distributed sets are widely used in data mining in which the preservation of privacy is of the utmost concern. In this paper, we extended privacy-preserving set operations and considered privacy-preserving disjunctive normal form (DNF) operations on distributed sets. A privacy-preserving DNF operation on distributed sets can be used to find a set SF satisfying SF=(S1,1∩...∩S1,t2)∪...∪(S t1,1∩...∩St1,t2) without revealing any other information besides just the information which could be inferred from the DNF operations, where Si,j∈{A1,..., An,A1-,...,An-} and set Ak is known only to a party Pk. A complement set Ak- is defined as Ak-=(A1∪...∪An)-Ak. Using privacy-preserving DNF operations on distributed sets, it is possible to find set union, (threshold) set intersection, and a set of k-repeated elements.

Original languageEnglish
Pages (from-to)113-122
Number of pages10
JournalInformation Sciences
Volume231
DOIs
Publication statusPublished - 2013 May 10

Keywords

  • DNF
  • Set operation
  • Set union
  • Threshold set intersection

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering
  • Theoretical Computer Science
  • Computer Science Applications
  • Information Systems and Management
  • Artificial Intelligence

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