Interval-valued intuitionistic fuzzy soft sets and their properties

Computers and Mathematics with Applications

Volumn 60, Issue 3, 2010, Pages 906-918

  Jiang, Yuncheng ^a,b   Tang, Yong ^a   Chen, Qimai ^a   Liu, Hai ^a   Tang, Jianchao ^a  

^a SOUTH CHINA NORMAL UNIVERSITY   (China)

^b INSTITUTE OF SOFTWARE   (China)

Author keywords

Fuzzy soft sets; Interval valued fuzzy soft sets; Interval valued intuitionistic fuzzy soft sets; Intuitionistic fuzzy soft sets; Soft sets

Indexed keywords

BASIC PROPERTIES; FUZZY EXTENSION; FUZZY PARAMETER; FUZZY SOFT SETS; INTERVAL-VALUED; INTERVAL-VALUED INTUITIONISTIC FUZZY SETS; INTUITIONISTIC FUZZY; MATHEMATICAL TOOLS; SOFT SETS;

FUZZY LOGIC; FUZZY SETS;

FUZZY SET THEORY;

EID: 77955412418     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2010.05.036     Document Type: Article

References (41)

1. D. Molodtsov Soft set theoryfirst results Computers & Mathematics with Applications 37 45 1999 19 31
2. S.R.S. Varadhan Probability Theory 2001 American Mathematical Society
3. L.A. Zadeh Is there a need for fuzzy logic Information Sciences 178 13 2008 2751 2779
4. K. Atanassov Intuitionistic fuzzy sets Fuzzy Sets and Systems 20 1 1986 87 96
5. K. Atanassov Intuitionistic Fuzzy Sets 1999 Physica-Verlag Heidelberg, New York
6. Z. Pawlak Rough Sets: Theoretical Aspects of Reasoning about Data 1991 Kluwer Academic Publishers
7. X.B. Yang, T.Y. Lin, J.Y. Yang, Y. Li, and D. Yu Combination of interval-valued fuzzy set and soft set Computers & Mathematics with Applications 58 3 2009 521 527
8. W. Xu, J. Ma, S. Wang, and G. Hao Vague soft sets and their properties Computers & Mathematics with Applications 59 2 2010 787 794
9. P.K. Maji, R. Biswas, and A.R. Roy Soft set theory Computers & Mathematics with Applications 45 45 2003 555 562
10. M.I. Ali, F. Feng, X. Liu, W.K. Min, and M. Shabir On some new operations in soft set theory Computers & Mathematics with Applications 57 9 2009 1547 1553
11. P.K. Maji, A.R. Roy, and R. Biswas An application of soft sets in a decision making problem Computers & Mathematics with Applications 44 89 2002 1077 1083
12. D. Chen, E.C.C. Tsang, D.S. Yeung, and X. Wang The parameterization reduction of soft sets and its applications Computers & Mathematics with Applications 49 56 2005 757 763
13. Z. Kong, L. Gao, L. Wang, and S. Li The normal parameter reduction of soft sets and its algorithm Computers & Mathematics with Applications 56 12 2008 3029 3037
14. Z. Xiao, K. Gong, S. Xia, and Y. Zou Exclusive disjunctive soft sets Computers & Mathematics with Applications 59 6 2010 2128 2137
15. H. Aktas, and N. Cagman Soft sets and soft groups Information Sciences 177 13 2007 2726 2735
16. Y.B. Jun Soft BCK/BCI-algebras Computers & Mathematics with Applications 56 5 2008 1408 1413
17. Y.B. Jun, and C.H. Park Applications of soft sets in ideal theory of BCK/BCI-algebras Information Sciences 178 11 2008 2466 2475
18. Y.B. Jun, K.J. Lee, and C.H. Park Soft set theory applied to ideals in d -algebras Computers & Mathematics with Applications 57 3 2009 367 378
19. Y.B. Jun, K.J. Lee, and J. Zhan Soft p -ideals of soft BCI-algebras Computers & Mathematics with Applications 58 10 2009 2060 2068
20. F. Feng, Y.B. Jun, and X. Zhao Soft semirings Computers & Mathematics with Applications 56 10 2008 2621 2628
21. Q.M. Sun, Z.L. Zhang, and J. Liu Soft sets and soft modules G. Wang, T. Li, J.W. Grzymala-Busse, D. Miao, A. Skowron, Y. Yao, Proceedings of The Third International Conference on Rough Sets and Knowledge Technology RSKT 2008 Lecture Notes in Computer Science vol. 5009 2008 Springer 403 409
22. A. Aygunoglu, and H. Aygun Introduction to fuzzy soft groups Computers & Mathematics with Applications 58 6 2009 1279 1286
23. P.K. Maji, R. Biswas, and A.R. Roy Fuzzy soft sets Journal of Fuzzy Mathematics 9 3 2001 589 602
24. A.R. Roy, and P.K. Maji A fuzzy soft set theoretic approach to decision making problems Journal of Computational and Applied Mathematics 203 2 2007 412 418
25. Z. Kong, L. Gao, and L. Wang Comment on "A fuzzy soft set theoretic approach to decision making problems" Journal of Computational and Applied Mathematics 223 2 2009 540 542
26. X.B. Yang, D.J. Yu, J.Y. Yang, and C. Wu Generalization of soft set theory: from crisp to fuzzy case B.Y. Cao, Proceeding of the Second International Conference on Fuzzy Information and Engineering Advance on Soft Computing vol. 40 2007 Springer-Verlag 345 354
27. Y. Zou, and Z. Xiao Data analysis approaches of soft sets under incomplete information Knowledge-Based Systems 21 8 2008 941 945
28. Z. Xiao, K. Gong, and Y. Zou A combined forecasting approach based on fuzzy soft sets Journal of Computational and Applied Mathematics 228 1 2009 326 333
29. 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 1 2010 10 20
30. 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 9 2010 899 911
31. W.L. Gau, and D.J. Buehrer Vague sets IEEE Transactions on Systems, Man and Cybernetics 23 2 1993 610 614
32. P. Majumdar, and S.K. Samanta Generalised fuzzy soft sets Computers & Mathematics with Applications 59 4 2010 1425 1432
33. Y. Jiang, Y. Tang, Q. Chen, J. Wang, and S. Tang Extending soft sets with description logics Computers & Mathematics with Applications 59 6 2010 2087 2096
34. F. Baader, D. Calvanese, D. McGuinness, D. Nardi, and P. Patel-Schneider The Description Logic Handbook: Theory, Implementation and Applications 2nd ed. 2007 Cambridge University Press
35. P.K. Maji More on intuitionistic fuzzy soft sets H. Sakai, M.K. Chakraborty, A.E. Hassanien, D. Slezak, W. Zhu, Proceedings of the 12th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing RSFDGrC 2009 Lecture Notes in Computer Science vol. 5908 2009 Springer 231 240
36. P.K. Maji, R. Biswas, and A.R. Roy Intuitionistic fuzzy soft sets Journal of Fuzzy Mathematics 9 3 2001 677 692
37. P.K. Maji, A.R. Roy, and R. Biswas On intuitionistic fuzzy soft sets Journal of Fuzzy Mathematics 12 3 2004 669 683
38. G. Deschrijver, and E.F. Kerre On the relationship between some extensions of fuzzy set theory Fuzzy Sets and Systems 133 2 2003 227 235
39. M.B. Gorzalczany A method of inference in approximate reasoning based on interval valued fuzzy sets Fuzzy Sets and Systems 21 1 1987 1 17
40. K. Atanassov Operators over interval valued intuitionistic fuzzy sets Fuzzy Sets and Systems 64 2 1994 159 174
41. K. Atanassov, and G. Gargov Interval valued intuitionistic fuzzy sets Fuzzy Sets and Systems 31 3 1989 343 349