On operations of soft sets

  • Authors:
  • Aslıhan Sezgin;Akın Osman Atagün

  • Affiliations:
  • Department of Mathematics, Faculty of Arts and Science, Amasya University, 05100 Amasya, Turkey;Department of Mathematics, Faculty of Arts and Science, Bozok University, 66100 Yozgat, Turkey

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2011

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Abstract

Soft set theory, proposed by Molodtsov, has been regarded as an effective mathematical tool to deal with uncertainties. In this paper, first we prove that certain De Morgan's law hold in soft set theory with respect to different operations on soft sets. Then, we discuss the basic properties of operations on soft sets such as intersection, extended intersection, restricted union and restricted difference. Moreover, we illustrate their interconnections between each other. Also we define the notion of restricted symmetric difference of soft sets and investigate its properties. The main purpose of this paper is to extend the theoretical aspect of operations on soft sets.