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

Authors : Aslıhan Sezgin, Shahzad Ahmad, Adnan Mehmood

Pages : 33-42

View : 15 | Download : 8

Publication Date : 2019-03-01

Article Type : Research

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