FILTERS OF RESIDUATED LATTICES BASED ON SOFT SET THEORY |
JUN, YOUNG BAE
(Department of Mathematics Education Gyeongsang National University)
LEE, KYOUNG JA (Department of Mathematics Education Hannam University) PARK, CHUL HWAN (Faculty of Mechanical Engineering Ulsan College) ROH, EUN HWAN (Department of Mathematics Education Chinju National University of Education) |
1 | R. Belohlavek, Some properties of residuated lattices, Czechoslovak Math. J. 53(123) (2003), no. 1, 161-171. DOI |
2 | N. Cagman and S. Enginoglu, Soft set theory and uni-int decision making, European J. Oper. Res. 207 (2010), no. 2, 848-855. DOI ScienceOn |
3 | F. Esteva and L. Godo, Monoidal t-norm based logic: towards a logic for left-continuous t-norms, Fuzzy Sets and Systems 124 (2001), no. 3, 271-288. DOI ScienceOn |
4 | P. Hajek, Metamathematics of Fuzzy Logic, Kluwer Academic Press, Dordrecht, 1998. |
5 | Y. B. Jun, S. S. Ahn, and K. J. Lee, Classes of int-soft filters in residuated lattices, The Scientific World J. 2014 (2014), Article ID 595160, 12 pages. |
6 | Y. B. Jun and S. Z. Song, Uni-soft filters and uni-soft G-filters in residuated lattices, J. Comput. Anal. Appl. (in press). |
7 | Z. M. Ma and B. Q. Hu, Characterizations and new subclasses of I-filters in residuated lattices, Fuzzy Sets and Systems 247 (2014), 92-107. DOI ScienceOn |
8 | P. K. Maji, R. Biswas, and A. R. Roy, Soft set theory, Comput. Math. Appl. 45 (2003), no. 4-5, 555-562. DOI ScienceOn |
9 | D. Molodtsov, Soft set theory - First results, Comput. Math. Appl. 37 (1999), no. 4-5, 19-31. |
10 | J. G. Shen and X. H. Zhang, On filters of residuated lattice, Chinese Quart. J. Math. 21 (2006), no. 3, 443-447. |
11 | E. Turunen, BL-algebras of basic fuzzy logic, Mathware Soft Comput. 6 (1999), no. 1, 49-61. |
12 | E. Turunen, Boolean deductive systems of BL-algebras, Arch. Math. Logic 40 (2001), no. 6, 467-473. DOI |
13 | X. H. Zhang, H. Zhou, and X. Mao, IMTL(MV)-filters and fuzzy IMTL(MV)-filters of residuated lattices, J. Intell. Fuzzy Systems 26 (2014), no. 2, 589-596. |
14 | Y. Q. Zhu and Y. Xu, On filter theory of residuated lattices, Inform. Sci. 180 (2010), no. 19, 3614-3632. DOI ScienceOn |