The multi-fuzzy soft set and its application in decision making

Applied Mathematical Modelling

Volumn 37, Issue 7, 2013, Pages 4915-4923

  Yang, Yong ^a   Tan, Xia ^a   Meng, Congcong ^a  

^a NORTHWEST NORMAL UNIVERSITY   (China)

Author keywords

Decision making; Multi fuzzy sets; Multi fuzzy soft sets; Soft sets

Indexed keywords

DECISION PROBLEMS; INTERSECTION OPERATION; MATHEMATICAL TOOLS; MULTI-FUZZY SETS; SOFT SETS;

DECISION MAKING; FUZZY SETS;

SET THEORY;

EID: 84872618193     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2012.10.015     Document Type: Article

References (22)

1. Pawlak Z. Rough sets. Int. J. Comput. Inform. Sci. 1982, 11:341-356.
2. Gau W.L., Buehrer D.J. Vague sets. IEEE Trans. Syst. Man Cybernet. 1993, 23(2):610-614.
3. Gorzalzany M.B. A method of inference in approximate reasoning based on interval-valued fuzzy sets. Fuzzy Sets Syst. 1987, 21:1-17.
4. Molodtsov D.A. Soft set theory-first results. Comput. Math. Appl. 1999, 37:19-31.
5. Feng F., Jun Y.B., Liu X., Li L. An adjustable approach to fuzzy soft set based decision making. J. Comput. Appl. Math. 2010, 234(1):10-20.
6. Cagman N., Enginoglu S. Soft matrix theory and its decision making. Comput. Math. Appl. 2010, 59(10):3308-3314.
7. Cagman N., Enginoglu S. Soft set theory and uni-int decision making. Eur. J. Oper. Res. 2010, 207:848-855.
8. Roy A.R., Maji P.K. A fuzzy soft set theoretic approach to decision making problems. J. Comput. Math. Appl. 2007, 203(2):412-418.
9. Kong Z., Gao L., Wang L. Comment on "A fuzzy soft set theoretic approach to decision making problems" J. Comput. Appl. Math. 2009, 223(2):540-542.
10. Jiang Y., Tang Y., Chen Q. An adjustable approach to intuitionistic fuzzy soft sets based decision making. Appl. Math. Model. 2011, 35:824-836.
11. Maji P.K., Roy A.R., Biswas R. An application of soft sets in a decision making problem. Comput. Math. Appl. 2002, 44(8-9):1077-1083.
12. Feng F., Liu Y.M., Cagman N. Generalized uni-int decision making schemes based on choice value soft sets. Eur. J. Oper. Res. 2012, 220:162-170.
13. Zou Y., Xiao Z. Data analysis approaches of soft sets under incomplete information. Knowledge-Based Syst. 2008, 21(8):941-945.
14. Xiao Z., Gong K., Zou Y. A combined forecasting approach based on fuzzy soft sets. J. Comput. Math. Appl. 2009, 228(1):326-333.
15. Maji P.K., Biswas R., Roy A.R. Fuzzy soft sets. J. Fuzzy Math. 2001, 9(3):589-602.
16. Yang X.B., Lin T.Y., Yang J.Y., Li Y., Yu D.Y. Combination of interval-valued fuzzy set and soft set. Comput. Math. Appl. 2009, 58:521-527.
17. Jun Y.B., Yang X.B. A note on the paper "Combination of interval-valued fuzzy set and soft set" [Comput. Math. Appl. 58 (2009) 521-527]. Comput. Math. Appl. 2011, 61:1468-1470.
18. Jun Y.B. Soft BCK/BCI-algebras. Comput. Math. Appl. 2008, 56:1408-1413.
19. Feng F., Liu X.Y., Fotea V.L., Jun Y.B. Soft sets and soft rough sets. Inform. Sci. 2011, 181:1125-1137.
20. Feng F., Li C., Davvaz B., Ali M.I. Soft sets combined with fuzzy sets and rough sets: a tentative approach. Soft Comput. 2010, 14:899-911.
21. Xiao Z., Xia S., Gong K., Li D. The trapezoidal fuzzy soft set and its application in MCDM. Appl. Math. Model. 2012, 10.1016/j.apm.2012.01.036.
22. Sebastian S., Ramakrishnan T.V. Multi-fuzzy sets: an extension of fuzzy sets. Fuzzy Inform. Eng. 2011, 1:35-43.