Fuzzy soft matrix theory and its application in decision making

Iranian Journal of Fuzzy Systems

Volumn 9, Issue 1, 2012, Pages 109-119

  Cagman N ^a   Enginoglu S ^a  

^a GAZIOSMANPASA UNIVERSITY   (Turkey)

Author keywords

Fuzzy soft matrix; Fuzzy soft max min decision making; Fuzzy soft sets; Products of fuzzy soft matrices

Indexed keywords

EID: 84864150603     PISSN: 17350654     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (52)

1. U. Acar, F. Koyuncu and B. Tanay, Soft sets and soft rings, Computers and Mathematics with Applications, 59 (2010), 3458-3463.
2. B. Ahmad and A. Kharal, On fuzzy soft sets, Advances in Fuzzy Systems, (2009), 1-6.
3. H. Akta and N. Caǧman, Soft sets and soft groups, Information Sciences, 1(77) (2007),2726-2735.
4. M. I. Ali, F. Feng, X. Liu, W. K. Min and M. Shabir, On some new operations in soft set theory, Computers and Mathematics with Applications, 57(2009), 1547-1553.
5. A. O. Atagün and A. Sezgin, Soft substructures of rings, fields and modules, Comput. Math. Appl., 61(3) (2011), 592-601.
6. N. Caǧman and S. Enginoǧlu, Soft set theory and uni-int decision making, European Journalof Operational Research, 207 (2010), 848-855.
7. N. Caǧman and S. Enginoǧlu, Soft matrix theory and its decision making, Computers and Mathematics with Applications, 59 (2010), 3308-3314.
8. N. Caǧman, F. Citak and S. Enginoǧlu, Fuzzy parameterized fuzzy soft set theory and its applications, Turkish Journal of Fuzzy Systems, 1(1) (2010), 21-35.
9. N. Caǧman, S. Enginoǧlu and F. Citak, Fuzzy soft set theory and its applications, Iranian Journal of Fuzzy Systems, 8(3) (2011), 137-147.
10. F. Feng, Y. B. Jun, X. Liu and L. Li, An adjustable approach to fuzzy soft set based decision making, Journal of Computational and Applied Mathematics, 234 (2010), 10-20.
11. F. Feng, Y. B. Jun and X. Zhao, Soft semirings, Fuzzy Sets and Systems: Theory and Applications, 56(10) (2008), 2621-2628.
12. T. Herawan, A. N. M. Rose and M. M. Deris, Soft set theoretic approach for dimensionalityreduction, In Database Theory and Application, Springer Berlin Heidelberg, 64 (2009), 171-178.
13. Y. Jiang, Y. Tang, Q. Chen, J. Wang and S. Tang, Extending soft sets with description logics, Computers and Mathematics with Applications, 59 (2010), 2087-2096.
14. Y. B. Jun, Soft BCK/BCI-algebras, Computers and Mathematics with Applications, 56(2008), 1408-1413.
15. Y. B. Jun and C. H. Park, Applications of soft sets in ideal theory of BCK/BCI-algebras, Information Sciences, 178 (2008), 2466-2475.
16. Y. B. Jun and C. H. Park, Applications of soft sets in Hilbert algebras, Iranian Journal ofFuzzy Systems, 6(2) (2009), 55-86.
17. Y. B. Jun, H. S. Kim and J. Neggers, Pseudo d-algebras, Information Sciences, 179 (2009),1751-1759.
18. Y. B. Jun, K. J. Lee and A. Khan, Soft ordered semigroups, Mathematical Logic Quarterly,56(1) (2010), 42-50.
19. Y. B. Jun, K. J. Lee and C. H. Park, Soft set theory applied to commutative ideals, in BCK-algebras, Journal of Applied Mathematics Informatics, 26(3-4) (2008), 707-720.
20. Y. B. Jun, K. J. Lee and C. H. Park, Soft set theory applied to ideals in d-algebras, Computers and Mathematics with Applications, 57 (2009), 367-378.
21. Y. B. Jun, K. J. Lee and C. H. Park, Fuzzy soft set theory applied to BCK/BCI-algebras, Computers and Mathematics with Applications, 59 (2010), 3180-3192.
22. Y. B. Jun, K. J. Lee and J. Zhan, Soft p-ideals of soft BCI-algebras, Computers and Mathe-matics with Applications, 58 (2009), 2060-2068.
23. S. J. Kalayathankal and G. S. Singh, A fuzzy soft flood alarm model, Mathematics andComputers in Simulation, 80 (2010), 887-893.
24. A. Kharal and B. Ahmad, Mappings on fuzzy soft classes, Advances in Fuzzy Systems, (2009),1-6.
25. Z. Kong, L. Gao, L. Wang and S. Li, The normal parameter reduction of soft sets and its algorithm, Computers and Mathematics with Applications, 56 (2008), 3029-3037.
26. D. V. Kovkov, V. M. Kolbanov and D. A. Molodtsov, Soft sets theory-based optimization, Journal of Computer and Systems Sciences International, 46(6) (2007), 872-880.
27. P. K. Maji, R. Biswas and A. R. Roy, Fuzzy soft sets, Journal of Fuzzy Mathematics, 9(3) (2001), 589-602.
28. P. K. Maji, R. Biswas and A. R. Roy, Intuitionistic fuzzy soft sets, Journal of Fuzzy Mathe-matics, 9(3) (2001), 677-691.
29. P. K. Maji, R. Biswas and A. R. Roy, Soft set theory, Computers and Mathematics with Applications, 45 (2003), 555-562.
30. P. K. Maji, A. R. Roy and R. Biswas, An application of soft sets in a decision making problem, Computers and Mathematics with Applications, 44 (2002), 1077-1083.
31. P. Majumdar and S. K. Samanta, Similarity measure of soft sets, New Mathematics and Natural Computation, 4(1) (2008), 1-12.
32. P. Majumdar and S. K. Samanta, Generalised fuzzy soft sets, Computers and Mathematicswith Applications, 59 (2010), 1425-1432.
33. D. A. Molodtsov, Soft set theory-first results, Computers and Mathematics with Applications,37 (1999), 19-31.
34. A. Mukherjee and S. B. Chakraborty, On intuitionistic fuzzy soft relations, Bulletin of KeralaMathematics Association, 5(1) (2008), 35-42.
35. 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.
36. C. H. Park, Y. B. Jun and M. A. Öztürk, Soft WS-algebras, Communications of the KoreanMathematical Society, 23(3) (2008), 313-324.
37. D. Pei and D. Miao, From soft sets to information systems, In: Proceedings of GranularComputing (eds: X. Hu, Q. Liu, A. Skowron, T. Y. Lin, R. R. Yager, B. Zhang) IEEE 2005,2 (2005), 617-621.
38. K. Qin and Z. Hong, On soft equality, Journal of Computational and Applied Mathematics,234 (2010), 1347-1355.
39. A. R. Roy and P. K. Maji, A fuzzy soft set theoretic approach to decision making problems, Journal of Computational and Applied Mathematics, 203 (2007), 412-418.
40. A. Sezgin and A. O. Atagün, On operations of soft sets, Comput. Math. Appl., 61(5) (2011),1457-1467.
41. A. Sezgin, A. O. Atagün and E. Aygün, A note on soft near-rings and idealistic soft near-rings, Filomat, 25 (2011), 53-68.
42. T. Som, On the theory of soft sets soft relation and fuzzy soft relation, Proc. of the NationalConference on Uncertainty: A Mathematical Approach, UAMA-06, Burdwan, (2006), 1-9.
43. M. J. Son, Interval-valued fuzzy soft sets, Journal of Fuzzy Logic and Intelligent Systems,17(4) (2007), 557-562.
44. Q. M. Sun, Z. L. Zhang and J. Liu, Soft sets and soft modules, Proceedings of Rough Sets and Knowledge Technology, Third International Conference, RSKT 2008, 17-19 May, Chengdu, China, (2008), 403-409.
45. Z. Xiao, K. Gong and Y. Zou, A combined forecasting approach based on fuzzy soft sets, Journal of Computational and Applied Mathematics, 228 (2009), 326-333.
46. Z. Xiao, K. Gong, S. Xia and Y. Zou, Exclusive disjunctive soft sets, Computers and Math-ematics with Applications, 59 (2010), 2128-2137.
47. Z. Xiao, Y. Li, B. Zhong and X. Yang, Research on synthetically evaluating method for business competitive capacity based on soft set, Statistical Research, (2003), 52-54.
48. W. Xu, W. J. Ma, S. Wang and G. Hao, Vague soft sets and their properties, Computers and Mathematics with Applications, 59 (2010), 787-794.
49. X. Yang, T. Y. Lin, J. Yang, Y. Li and D. Yu, Combination of interval-valued fuzzy set and soft set, Computers and Mathematics with Applications, 58 (2009), 521-527.
50. J. Zhan and Y. B. Jun, Soft BL-algebras based on fuzzy sets, Computers and Mathematics with Applications, 59 (2010), 2037-2046.
51. Y. Zou and Z. Xiao, Data analysis approaches of soft sets under incomplete information, Knowledge-Based Systems, 21 (2008), 941-945.
52. L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965), 338-353.