TY  - JOUR
T1  - A New Operation on Soft Sets: Extended Difference of Soft Sets
AU  - Sezgin, Aslıhan
AU  - Ahmad, Shahzad
AU  - Mehmood, Adnan
PY  - 2019
DA  - March
JF  - Journal of New Theory
JO  - JNT
PB  - Naim ÇAĞMAN
WT  - DergiPark
SN  - 2149-1402
SP  - 33
EP  - 42
IS  - 27
LA  - en
AB  - 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.
KW  - Soft sets
KW  - Restricted union
KW  - Extended union
KW  - Restricted intersection
KW  - Extended intersection
KW  - Restricted difference
KW  - Extended difference
CR  - [1] U. Acar, F. Koyuncu and B. Tanay, Soft sets and soft rings, Comput. Math. Appl. 59 (2010) 3458-3463.
CR  - [2] H. Aktaş, N. Çağman, Soft sets and soft groups, Inform. Sci. 177 (2007) 2726-2735.
CR  - [3] M. I. Ali, F. Feng, X. Liu, W. K. Min, On some new operations in soft set theory, Comput. Math. Appl. 57 (9) (2009) 1547-1553.
CR  - [4] N. Çağman and S. Enginoğlu, Soft matrix theory and its decision making, Comput. Math. Appl. 59 (2010) 3308-3314.
CR  - [5] N. Cağman and S. Enginoğlu, Soft set theory and uni-int decision making, Eur. J. Oper. Res. 207 (2010) 848-855.
CR  - [6] F. Feng, Y. B. Jun, X. Zhao, Soft semirings, Comput. Math. Appl. 56 (2008) 2621-2628.
CR  - [7] Y. B. Jun, C. H. Park, Applications of soft sets in ideal theory of BCK/BCI-algebras, Inform. Sci. 178 (2008) 2466-2475.
CR  - [8] P. K. Maji, R. Biswas, A.R. Roy, Soft set theory, Comput. Math. Appl. 45 (2003) 555-562.
CR  - [9] P. K. Maji, A.R. Roy, R. Biswas, An application of soft sets in a decision making problem, Comput. Math. Appl. 44 (2002) 1077-1083.
CR  - [10] D. Molodtsov, Soft set theory-¯rst results, Comput. Math. Appl. 37 (1999) 19-31.
CR  - [11] D. Pei, D. Miao, From soft sets to information systems, In: Proceedings of Granular Computing (Eds: X. Hu, Q. Liu, A. Skowron, T.Y. Lin, R.R. Yager,
B. Zhang) IEEE (2) 2005 617-621.
CR  - [12] A. Sezgin, A.O. AtagÄun, On operations of soft sets, Comput. Math. Appl. 61 (2011) 1457-1467.
CR  - [13] L. A. Zadeh, Toward a generalized theory of uncertainty (GTU)-an outline, Inform. Sci. 172 (2005) 1-40.
UR  - https://dergipark.org.tr/en/pub/jnt/issue//535589
L1  - https://dergipark.org.tr/en/download/article-file/663346
ER  -