Soft matrix theory and its decision making

Computers and Mathematics with Applications

Volumn 59, Issue 10, 2010, Pages 3308-3314

  Çaǧman, Naim ^a   Enginoǧlu, Serdar ^a  

^a GAZIOSMANPASA UNIVERSITY   (Turkey)

Author keywords

Products of soft matrices; Soft matrix; Soft max min decision making; Soft sets

Indexed keywords

DECISION-MAKING METHOD; MATRIX; MATRIX THEORY; MAX-MIN; SOFT MATRIX; SOFT SETS; THEORETICAL STUDY;

DECISION THEORY;

DECISION MAKING;

EID: 77953139147     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2010.03.015     Document Type: Article

References (29)

1. Molodtsov D.A. Soft set theory-first results. Computers and Mathematics with Applications 37 (1999) 19-31
2. Molodtsov D.A. The description of a dependence with the help of soft sets. Journal of Computer and Systems Sciences International 40 6 (2001) 977-984
3. Molodtsov D.A. The Theory of Soft Sets (2004), URSS Publishers, Moscow (in Russian)
4. Molodtsov D.A., Leonov V.Yu., and Kovkov D.V. Soft sets technique and its application. Nechetkie Sistemy i Myagkie Vychisleniya 1 1 (2006) 8-39
5. Pawlak Z. Rough sets. International Journal of Information and Computer Sciences 11 (1982) 341-356
6. Maji P.K., Roy A.R., and Biswas R. An application of soft sets in a decision making problem. Computers and Mathematics with Applications 44 (2002) 1077-1083
7. Maji P.K., Bismas R., and Roy A.R. Soft set theory. Computers and Mathematics with Applications 45 (2003) 555-562
8. Chen D., Tsang E.C.C., Yeung D.S., and Wang X. The parameterization reduction of soft sets and its applications. Computers and Mathematics with Applications 49 (2005) 757-763
9. Xiao Z., Li Y., Zhong B., and Yang X. Research on synthetically evaluating method for business competitive capacity based on soft set. Statistical Research (2003) 52-54
10. D. Chen, E.C.C. Tsang, D.S. Yeung, Some notes on the parameterization reduction of soft sets, in: International Conference on Machine Learning and Cybernetics, vol. 3, 2003, pp. 1442-1445.
11. Kong Z., Gao L., Wang L., and Li S. The normal parameter reduction of soft sets and its algorithm. Computers and Mathematics with Applications 56 (2008) 3029-3037
12. Xiao Z., Chen L., Zhong B., and Ye S. Recognition for soft information based on the theory of soft sets. In: Chen J. (Ed). Proceedings of ICSSSM-05 vol. 2 (2005), IEEE 1104-1106
13. Pei D., and Miao D. From soft sets to information systems. In: Hu X., Liu Q., Skowron A., Lin T.Y., Yager R.R., and Zhang B. (Eds). Proceedings of Granular Computing vol. 2 (2005), IEEE 617-621
14. Mushrif M.M., Sengupta S., and Ray A.K. Texture classification using a novel, soft-set theory based classification, algorithm. Lecture Notes in Computer Science 3851 (2006) 246-254
15. Aktaş H., and Çaǧman N. Soft sets and soft groups. Information Sciences 177 (2007) 2726-2735
16. Jun Y.B. Soft BCK/BCI-algebras. Computers and Mathematics with Applications 56 (2008) 1408-1413
17. Jun Y.B., and Park C.H. Applications of soft sets in ideal theory of BCK/BCI-algebras. Information Sciences 178 (2008) 2466-2475
18. Park C.H., Jun Y.B., and Öztürk M.A. Soft WS-algebras. Korean Mathematical Society. Communications 23 3 (2008) 313-324
19. Feng F., Jun Y.B., and Zhao X. Soft semirings. Computers and Mathematics with Applications 56 10 (2008) 2621-2628
20. Sun Q.-M., Zhang Z.-L., and Liu J. Soft sets and soft modules. In: Wang G., Li T.-r., Grzymala-Busse J.W., Miao D., Skowron A., and Yao Y. (Eds). Rough Sets and Knowledge Technology, RSKT-2008, Proceedings (2008), Springer 403-409
21. Zou Y., and Xiao Z. Data analysis approaches of soft sets under incomplete information. Knowledge-Based Systems 21 (2008) 941-945
22. Maji P.K., Biswas R., and Roy A.R. Fuzzy soft sets. Journal of Fuzzy Mathematics 9 3 (2001) 589-602
23. Roy A.R., and Maji P.K. A fuzzy soft set theoretic approach to decision making problems. Journal of Computational and Applied Mathematics 203 (2007) 412-418
24. Yang X., Yu D., Yang J., and Wu C. Generalization of soft set theory: from crisp to fuzzy case. In: Cao B.-Y. (Ed). Fuzzy Information and Engineering: Proceedings of ICFIE-2007. Advances in Soft Computing vol. 40 (2007), Springer 345-355
25. Majumdar P., and Samanta S.K. Similarity measure of soft sets. New Mathematics and Natural Computation 4 1 (2008) 1-12
26. Xiao Z., Gong K., and Zou Y. A combined forecasting approach based on fuzzy soft sets. Journal of Computational and Applied Mathematics 228 (2009) 326-333
27. Kovkov D.V., Kolbanov V.M., and Molodtsov D.A. Soft sets theory-based optimization. Journal of Computer and Systems Sciences International 46 6 (2007) 872-880
28. Ali M.I., Feng F., Liu X., Min W.K., and Shabir M. On some new operations in soft set theory. Computers and Mathematics with Applications 57 (2009) 1547-1553
29. N. Çaǧman, S. Enginoǧlu, Soft set theory and uni-int decision making, European Journal of Operational Research (submitted for publication).