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Year 2019, Issue: 27, 33 - 42, 01.03.2019

Abstract

References

  • [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.
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  • [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

Year 2019, Issue: 27, 33 - 42, 01.03.2019

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.

References

  • [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.
There are 13 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Aslıhan Sezgin

Shahzad Ahmad This is me

Adnan Mehmood This is me

Publication Date March 1, 2019
Submission Date October 15, 2018
Published in Issue Year 2019 Issue: 27

Cite

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. March 2019;(27):33-42.
Chicago Sezgin, Aslıhan, Shahzad Ahmad, and Adnan Mehmood. “A New Operation on Soft Sets: Extended Difference of Soft Sets”. Journal of New Theory, no. 27 (March 2019): 33-42.
EndNote Sezgin A, Ahmad S, Mehmood A (March 1, 2019) A New Operation on Soft Sets: Extended Difference of Soft Sets. Journal of New Theory 27 33–42.
IEEE A. Sezgin, S. Ahmad, and A. Mehmood, “A New Operation on Soft Sets: Extended Difference of Soft Sets”, JNT, no. 27, pp. 33–42, March 2019.
ISNAD Sezgin, Aslıhan et al. “A New Operation on Soft Sets: Extended Difference of Soft Sets”. Journal of New Theory 27 (March 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 et al. “A New Operation on Soft Sets: Extended Difference of Soft Sets”. Journal of New Theory, no. 27, 2019, pp. 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.


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