A New Operation on Soft Sets: Extended Difference of Soft Sets

Abstract

Soft Set Theory, which has been considered as an adequate mathematical device, was proposed by Molodtsov to deal with ambiguities and uncertainties. Several operations on soft sets were defined in many soft set papers. This study is based on the paper "On operations of Soft Sets" by Sezgin and Atag\"{u}n [Comput. Math. Appl. 61 (2011) 1457-1467]. In this paper, we define a new operation on soft sets, called extended difference and investigate its relationship between extended difference and restricted difference and some other operations of soft sets.

Keywords

• soft sets
• restricted union
• extended union
• restricted intersection
• extended intersection
• restricted difference
• extended difference