Fuzzy soft set theory and its applications

Iranian Journal of Fuzzy Systems

Volumn 8, Issue 3, 2011, Pages 137-147

  Cagman N ^a   Enginoglu S ^a   Citak, F ^a  

^a Department of Mathematics   (Turkey)

Author keywords

Aggregate fuzzy set; Fuzzy sets; Fuzzy soft aggregation; Fuzzy soft sets; Soft aggregation; Soft sets

Indexed keywords

EID: 84855733819     PISSN: 17350654     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (42)

1. M. I. Ali, F. Feng, X. Liu, W. K. Min and M. Shabir, On some new operations in soft set theory, Comput. Math. Appl., 57 (2009), 1547-1553.
2. H. Aktas. and N. C. Aǧman, Soft sets and soft groups, Information Sciences, 177 (2007), 2726-2735.
3. N. C. Aǧman and S. Enginoǧlu, Soft set theory and uni-int decision making, Eur. J. Oper. Res., 207 (2010), 848-855.
4. N. C. Aǧman and S. Enginoǧlu, Soft matrix theory and its decision making, Comput. Math. Appl., 59(10) (2010), 3308-3314.
5. N. C. Aǧman, F. Citak and S. Enginoǧlu, Fuzzy parameterized fuzzy soft set theory and its applications, Turk. J. Fuzzy Syst., 1(1) (2010), 21-35.
6. D. Chen, E. C. C. Tsang, D. S. Yeung and X. Wang, The parameterization reduction of soft sets and its applications, Comput. Math. Appl., 49 (2005), 757-763.
7. D. Dubois, and H. Prade, Fuzzy set and systems: theory and applications, Academic Press, New York, 1980.
8. F. Feng, Y. B. Jun and X. Zhao, Soft semirings, Comput. Math. Appl., 56(10) (2008), 2621-2628.
9. Y. B. Jun, Soft BCK/BCI-algebras, Comput. Math. Appl., 56 (2008), 1408-1413.
10. Y. B. Jun and C. H. Park, Applications of soft sets in ideal theory of BCK/BCI-algebras, Information Sciences, 178 (2008), 2466-2475.
11. Y. B. Jun, K. J. Lee and C. H. Park, Soft set theory applied to commutative ideals in BCK- algebras, J. Appl. Math. and Informatics, 26 (2008), 707-720.
12. Y. B. Jun and C. H. Park, Applications of soft sets in Hilbert algebras, Iranian Journal of Fuzzy Systems, 6(2) (2009), 75-88.
13. Y. B. Jun, H. S. Kim and J. Neggers, Pseudo d-algebras, Information Sciences, 179 (2009), 1751-1759.
14. Y. B. Jun, K. J. Lee and C. H. Park, Soft set theory applied to ideals in d-algebras, Comput. Math. Appl., 57 (2009), 367-378.
15. Z. Kong, L. Gao, L. Wang and S. Li, The normal parameter reduction of soft sets and its algorithm, Comput. Math. Appl., 56 (2008), 3029-3037.
16. Z. Kong, L. Gao and L. Wang, Comment on "A fuzzy soft set theoretic approach to decision making problems", J. Comput. Appl. Math., 223 (2009), 540-542.
17. D. V. Kovkov, V. M. Kolbanov and D. A. Molodtsov, Soft sets theory-based optimization, J. Comput. Sys. Sc. Int., 46(6) (2007), 872-880.
18. P. K. Maji, R. Biswas and A. R. Roy, Fuzzy soft sets, J. Fuzzy Math., 9(3) (2001), 589-602.
19. P. K. Maji, A. R. Roy and R. Biswas, An application of soft sets in a decision making problem, Comput. Math. Appl., 44 (2002), 1077-1083.
20. P. K. Maji, R. Biswas and A. R. Roy, Soft set theory, Comput. Math. Appl., 45 (2003), 555-562.
21. P. Majumdar and S. K. Samanta, Similarity measure of soft sets, New. Math. Nat. Comput., 4(1) (2008), 1-12.
22. A. Mukherjee and S. B. Chakraborty, On intuitionistic fuzzy soft relations, Bull. Kerala Math. Assoc., 5(1) (2008), 35-42.
23. D. A. Molodtsov, Soft set theory-first results, Comput. Math. Appl., 37 (1999), 19-31.
24. D. A. Molodtsov, The description of a dependence with the help of soft sets, J. Comput. Sys. Sc. Int., 40(6) (2001), 977-984.
25. D. A. Molodtsov, The theory of soft sets (in Russian), URSS Publishers, Moscow, 2004.
26. D. A. Molodtsov, V. Yu. Leonov and D. V. Kovkov, Soft sets sechnique and its application, Nechetkie Sistemi I Myakie Vychisleniya, 1(1) (2006), 8-39.
27. M. M. Mushrif, S. Sengupta and A. K. Ray, Texture classification using a novel, soft-set theory based classification, Algorithm. Lecture Notes In Computer Science, 3851 (2006), 246-254.
28. C. H. Park, Y. B. Jun and M. A. Öztürk, Soft WS-algebras, Commun. Korean Math. Soc., 23(3) (2008), 313-324.
29. Z. Pawlak, Rough sets, Int. J. Comput. Inform. Sci., 11 (1982), 341-356.
30. D. Pei and D. Miao, From soft sets to information systems, In: X. Hu, Q. Liu, A. Skowron, T. Y. Lin, R. R. Yager, B. Zhang, eds., Proceedings of Granular Computing, IEEE, 2 (2005), 617-621.
31. A. R. Roy and P. K. Maji, A fuzzy soft set theoretic approach to decision making problems, J. Comput. Appl. Math., 203 (2007), 412-418.
32. T. Som, On the theory of soft sets, soft relation and fuzzy soft relation, Proc. of the National Conference on Uncertainty: A Mathematical Approach, UAMA-06, Burdwan, (2006), 1-9.
33. Q. M. Sun, Z. L. Zhang and J. Liu, Soft sets and soft modules, In: G. Wang, T. Li, J. W. Grzymala-Busse, D. Miao, A. Skowron, Y. Yao, eds., Rough Sets and Knowledge Technology, RSKT-08, Proceedings, Springer, (2008), 403-409.
34. Z. Xiao, Y. Li, B. Zhong and X. Yang, Research on synthetically evaluating method for business competitive capacity based on soft set, Stat. Methods. Med. Res., (2003), 52-54.
35. Z. Xiao, L. Chen, B. Zhong and S. Ye, Recognition for soft information based on the theory of soft sets, In: J. Chen, eds., Proceedings of ICSSSM-05, 2 (2005), 1104-1106.
36. Z. Xiao, K. Gong and Y. Zou, A combined forecasting approach based on fuzzy soft sets, J. Comput. Appl. Math., 228 (2009), 326-333.
37. X. Yang, D. Yu, J. Yang and C. Wu, Generalization of soft set theory: from crisp to fuzzy case, In: Bing-Yuan Cao, eds., Fuzzy Information and Engineering: Proceedings of ICFIE-2007, Advances in Soft Computing 40, Springer, (2007), 345-355.
38. X. Yang, T. Y. Lin, J. Yang, Y. Li and D. Yu, Combination of interval-valued fuzzy set and soft set, Comput. Math. Appl., 58 (2009), 521-527.
39. L. A. Zadeh, Fuzzy Sets, Information and Control, 8 (1965), 338-353.
40. Y. Zou and Y. Chen, Research on soft set theory and parameters reduction based on relational algebra, In: Intelligent Information Technology Application, IITA, 1 (2008), 152-156.
41. H. J. Zimmermann, Fuzzy set theory and its applications, Kluwer Academic Publishers, 1993.
42. Y. Zou and Z. Xiao, Data analysis approaches of soft sets under incomplete information, Knowl. Base. Syst., 21 (2008), 941-945.