Fuzzy soft set theory applied to BCK/BCI-algebras

Computers and Mathematics with Applications

Volumn 59, Issue 9, 2010, Pages 3180-3192

  Jun, Young Bae ^a   Lee, Kyoung Ja ^b   Park, Chul Hwan ^c  

^a Gyeongsang National University   (South Korea)

^b Hannam University   (South Korea)

^c University of Ulsan   (South Korea)

Author keywords

BCK BCI algebra; Fuzzy soft BCK BCI algebra; Fuzzy soft ideal; Fuzzy soft p ideal; Soft machine; Soft set

Indexed keywords

BCK/BCI-ALGEBRA; DECISION-MAKING PROBLEM; FUZZY MATH; FUZZY SOFT BCK/BCI-ALGEBRA; FUZZY SOFT SETS; SOFT MACHINE; SOFT SETS;

ALGEBRA;

FUZZY SET THEORY;

EID: 77950811992     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2010.03.004     Document Type: Article

References (22)

1. Molodtsov D. Soft set theory - First results. Comput. Math. Appl. 37 (1999) 19-31
2. Maji P.K., Roy A.R., and Biswas R. An application of soft sets in a decision making problem. Comput. Math. Appl. 44 (2002) 1077-1083
3. Maji P.K., Biswas R., and Roy A.R. Soft set theory. Comput. Math. Appl. 45 (2003) 555-562
4. Chen D., Tsang E.C.C., Yeung D.S., and Wang X. The parametrization reduction of soft sets and its applications. Comput. Math. Appl. 49 (2005) 757-763
5. Zadeh L.A. Fuzzy sets. Inform. Control 8 (1965) 338-353
6. Jun Y.B., and Xin X.L. Involutory and invertible fuzzy BCK-algebras. Fuzzy Sets and Systems 117 (2001) 463-469
7. Jun Y.B., and Xin X.L. Fuzzy prime ideals and invertible fuzzy ideals in BCK-algebras. Fuzzy Sets and Systems 117 (2001) 471-476
8. Dudek W.A., Jun Y.B., and Stojakovic Z. On fuzzy ideals in BCC-algebras. Fuzzy Sets and Systems 123 (2001) 251-258
9. Jun Y.B., Roh E.H., and Kim H.S. On fuzzy B-algebras. Czechoslovak Math. J. 52 127 (2002) 375-384
10. Jun Y.B., and Shim W.H. Fuzzy strong implicative hyper BCK-ideals of hyper BCK-algebras. Inform. Sci. 170 (2005) 351-361
11. Jun Y.B., Xu Y., and Zhang X.H. Fuzzy filters of MTL-algebras. Inform. Sci. 175 (2005) 120-138
12. Jun Y.B., Ozturk M.A., and Song S.Z. On fuzzy h-ideals in hemirings. Inform. Sci. 162 (2004) 211-226
13. Jun Y.B., Ahn S.S., and Kim H.S. Quotient structures of some implicative algebras via fuzzy implicative filters. Fuzzy Sets and Systems 121 (2001) 325-332
14. Jun Y.B. Fuzzy positive implicative and fuzzy associative filters of lattice implication algebras. Fuzzy Sets and Systems 121 (2001) 353-357
15. Jun Y.B., Ahn S.S., and Kim H.S. Fuzzy subincline (ideals) of incline algebras. Fuzzy Sets and Systems 123 (2001) 217-225
16. Maji P.K., Biswas R., and Roy A.R. Fuzzy soft sets. J. Fuzzy Math. 9 3 (2001) 589-602
17. Roy A.R., and Maji P.K. A fuzzy soft set theoretic approach to decision making problems. J. Comput. Appl. Math. 203 (2007) 412-418
18. Aygünoǧlu A., and Aygün H. Introduction to fuzzy soft groups. Comput. Math. Appl. 58 (2009) 1279-1286
19. Jun Y.B., and Meng J. Fuzzy p-ideals in BCI-algebras. Math. Jpn. 40 2 (1994) 271-282
20. Ali M.I., Feng F., Liu X., Min W.K., and Shabir M. On some new operations in soft set theory. Comput. Math. Appl. 57 (2009) 1547-1553
21. Jun Y.B. Soft BCK/BCI-algebras. Comput. Math. Appl. 56 (2008) 1408-1413
22. Jun Y.B., Lee K.J., and Park C.H. Soft set theory applied to ideals in d-algebras. Comput. Math. Appl. 57 (2009) 367-378