Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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NEW APPROACHES OF INVERSE SOFT ROUGH SETS AND THEIR APPLICATIONS IN A DECISION MAKING PROBLEM

  • Received : 2020.01.27
  • Accepted : 2020.04.03
  • Published : 2020.05.30
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Abstract

We present inverse soft rough sets by using inverse soft sets and soft rough sets. We study different approaches for inverse soft rough set and examine the relationships between them. We also discuss and explore the basic properties for these approaches. Moreover we develop an algorithm following these concepts and apply it to a decision-making problem to demonstrate the applicability of the proposed methods.

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References

  1. H. Aktas and N. Cagman, Soft sets and soft groups, Inform. Sci. 177 (2007), 2726-2735. https://doi.org/10.1016/j.ins.2006.12.008
  2. K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), 87-96. https://doi.org/10.1016/S0165-0114(86)80034-3
  3. K. Atanassov, Operators over interval valued intuitionistic fuzzy sets, Fuzzy Sets and Systems 64 (1994), 159-174. https://doi.org/10.1016/0165-0114(94)90331-X
  4. V. Cetkin, A. Aygunoglu and H. Aygun, A new approach in handling soft decision making problems, J. Nonlinear Sci. Appl. 9 (2016), 231-239. https://doi.org/10.22436/jnsa.009.01.21
  5. F. Feng, C. Li, B. Davvaz and M.I. Ali, Soft sets combined with fuzzy sets and rough sets: a tentative approach, Soft Computing 14 (2016), 899-911. https://doi.org/10.1007/s00500-009-0465-6
  6. F. Feng, Soft rough sets applied to multicriteria group decision making, Annals of Fuzzy Mathematics and Informatics 2 (2011), 69-80.
  7. F. Feng, X. Liu, F.L. Violeta and J.B. Young, Soft sets and soft rough sets, Inform. Sci. 181 (2011), 1125-1137. https://doi.org/10.1016/j.ins.2010.11.004
  8. G. Liu and W. Zhu, The algebraic structures of generalized rough set theory, Inform. Sci. 178 (2008), 4105-4113. https://doi.org/10.1016/j.ins.2008.06.021
  9. G. Liu and Y. Sai, A comparison of two types of rough sets induced by coverings, Int. J. Approx. Reason. 50 (2009), 521-528. https://doi.org/10.1016/j.ijar.2008.11.001
  10. P.K. Maji, R. Biswas and A.R. Roy, Soft set theory, Comput. Math. Appl. 45 (2003), 555-562. https://doi.org/10.1016/S0898-1221(03)00016-6
  11. D. Molodtsov, Soft set theory first results, Comput. Math. Appl. 37 (1999), 19-31. https://doi.org/10.1016/S0898-1221(99)00056-5
  12. Z. Pawlak and A. Skowron, Rudiments of rough sets, Inform. Sci. 177 (2007), 3-27. https://doi.org/10.1016/j.ins.2006.06.003
  13. Z. Pawlak, Rough sets, International Journal of Computer and Information Sciences 11 (1982), 341-356. https://doi.org/10.1007/BF01001956
  14. L.A. Zadeh, Fuzzy sets, Inform. Control. 8 (1965), 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X
  15. W. Zhu and F. Wang, On three types of covering-based rough sets, IEEE Transactions on Knowledge and Data Engineering 19 (2007), 1131-1143. https://doi.org/10.1109/TKDE.2007.1044
  16. W. Zhu, Topological approaches to covering rough sets, Information Sciences 177 (2007), 1499-1508. https://doi.org/10.1016/j.ins.2006.06.009