Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2019, Sayı: 27, 33 - 42, 01.03.2019

Öz

Kaynakça

  • [1] U. Acar, F. Koyuncu and B. Tanay, Soft sets and soft rings, Comput. Math. Appl. 59 (2010) 3458-3463.
  • [2] H. Aktaş, N. Çağman, Soft sets and soft groups, Inform. Sci. 177 (2007) 2726-2735.
  • [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.
  • [4] N. Çağman and S. Enginoğlu, Soft matrix theory and its decision making, Comput. Math. Appl. 59 (2010) 3308-3314.
  • [5] N. Cağman and S. Enginoğlu, Soft set theory and uni-int decision making, Eur. J. Oper. Res. 207 (2010) 848-855.
  • [6] F. Feng, Y. B. Jun, X. Zhao, Soft semirings, Comput. Math. Appl. 56 (2008) 2621-2628.
  • [7] Y. B. Jun, C. H. Park, Applications of soft sets in ideal theory of BCK/BCI-algebras, Inform. Sci. 178 (2008) 2466-2475.
  • [8] P. K. Maji, R. Biswas, A.R. Roy, Soft set theory, Comput. Math. Appl. 45 (2003) 555-562.
  • [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.
  • [10] D. Molodtsov, Soft set theory-¯rst results, Comput. Math. Appl. 37 (1999) 19-31.
  • [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.
  • [12] A. Sezgin, A.O. AtagÄun, On operations of soft sets, Comput. Math. Appl. 61 (2011) 1457-1467.
  • [13] L. A. Zadeh, Toward a generalized theory of uncertainty (GTU)-an outline, Inform. Sci. 172 (2005) 1-40.

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

Yıl 2019, Sayı: 27, 33 - 42, 01.03.2019

Öz

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.

Kaynakça

  • [1] U. Acar, F. Koyuncu and B. Tanay, Soft sets and soft rings, Comput. Math. Appl. 59 (2010) 3458-3463.
  • [2] H. Aktaş, N. Çağman, Soft sets and soft groups, Inform. Sci. 177 (2007) 2726-2735.
  • [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.
  • [4] N. Çağman and S. Enginoğlu, Soft matrix theory and its decision making, Comput. Math. Appl. 59 (2010) 3308-3314.
  • [5] N. Cağman and S. Enginoğlu, Soft set theory and uni-int decision making, Eur. J. Oper. Res. 207 (2010) 848-855.
  • [6] F. Feng, Y. B. Jun, X. Zhao, Soft semirings, Comput. Math. Appl. 56 (2008) 2621-2628.
  • [7] Y. B. Jun, C. H. Park, Applications of soft sets in ideal theory of BCK/BCI-algebras, Inform. Sci. 178 (2008) 2466-2475.
  • [8] P. K. Maji, R. Biswas, A.R. Roy, Soft set theory, Comput. Math. Appl. 45 (2003) 555-562.
  • [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.
  • [10] D. Molodtsov, Soft set theory-¯rst results, Comput. Math. Appl. 37 (1999) 19-31.
  • [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.
  • [12] A. Sezgin, A.O. AtagÄun, On operations of soft sets, Comput. Math. Appl. 61 (2011) 1457-1467.
  • [13] L. A. Zadeh, Toward a generalized theory of uncertainty (GTU)-an outline, Inform. Sci. 172 (2005) 1-40.
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Aslıhan Sezgin

Shahzad Ahmad Bu kişi benim

Adnan Mehmood Bu kişi benim

Yayımlanma Tarihi 1 Mart 2019
Gönderilme Tarihi 15 Ekim 2018
Yayımlandığı Sayı Yıl 2019 Sayı: 27

Kaynak Göster

APA Sezgin, A., Ahmad, S., & Mehmood, A. (2019). A New Operation on Soft Sets: Extended Difference of Soft Sets. Journal of New Theory(27), 33-42.
AMA Sezgin A, Ahmad S, Mehmood A. A New Operation on Soft Sets: Extended Difference of Soft Sets. JNT. Mart 2019;(27):33-42.
Chicago Sezgin, Aslıhan, Shahzad Ahmad, ve Adnan Mehmood. “A New Operation on Soft Sets: Extended Difference of Soft Sets”. Journal of New Theory, sy. 27 (Mart 2019): 33-42.
EndNote Sezgin A, Ahmad S, Mehmood A (01 Mart 2019) A New Operation on Soft Sets: Extended Difference of Soft Sets. Journal of New Theory 27 33–42.
IEEE A. Sezgin, S. Ahmad, ve A. Mehmood, “A New Operation on Soft Sets: Extended Difference of Soft Sets”, JNT, sy. 27, ss. 33–42, Mart 2019.
ISNAD Sezgin, Aslıhan vd. “A New Operation on Soft Sets: Extended Difference of Soft Sets”. Journal of New Theory 27 (Mart 2019), 33-42.
JAMA Sezgin A, Ahmad S, Mehmood A. A New Operation on Soft Sets: Extended Difference of Soft Sets. JNT. 2019;:33–42.
MLA Sezgin, Aslıhan vd. “A New Operation on Soft Sets: Extended Difference of Soft Sets”. Journal of New Theory, sy. 27, 2019, ss. 33-42.
Vancouver Sezgin A, Ahmad S, Mehmood A. A New Operation on Soft Sets: Extended Difference of Soft Sets. JNT. 2019(27):33-42.


TR Dizin 26024

Electronic Journals Library (EZB) 13651



Academindex 28993

SOBİAD 30256                                                   

Scilit 20865                                                  


29324 As of 2021, JNT is licensed under a Creative Commons Attribution-NonCommercial 4.0 International Licence (CC BY-NC).