1 |
王国俊. 非经典数理逻辑与近似推理[M]. 北京: 科学出版社, 2003. WANG G J. Non-Classical Mathematical Logic and Approximate Reasoning[M]. Beijing: Science Press, 2003.
|
2 |
CHANG C C. Algebraic analysis of many valued logics[J]. Transactions of the American Mathematical Society, 1958, 88(2): 467-490. doi:10.1090/s0002-9947-1958-0094302-9
doi: 10.1090/s0002-9947-1958-0094302-9
|
3 |
XU Y, RUAN D, QIN K Y, et al. Lattice-Valued Logic[M]. Berlin: Springer, 2004. doi:10.1007/978-3-540-44847-1_9
doi: 10.1007/978-3-540-44847-1_9
|
4 |
WANG G J, ZHOU H J. Introduction to Mathematical Logic and Resolution Principle[M]. 2nd ed. Beijing: Science Press, 2009. doi:10.1201/9781584888772
doi: 10.1201/9781584888772
|
5 |
HÁJEK P. Metamathematics of Fuzzy Logic[M]. Dordrecht: Kluwer Academic Publishers, 1998. DOI:10.1023/a:1021801709132
doi: 10.1023/a:1021801709132
|
6 |
HÁJEK P. Basic fuzzy logic and BL-algebras[J]. Soft Computing, 1998, 2(3): 124-128. DOI:10. 1007/s005000050043
doi: 10. 1007/s005000050043
|
7 |
ESTEVA F, GODO L. Monoidal t-norm based logic: Towards a logic for left-continuous t-norms[J]. Fuzzy Sets and Systems, 2001, 124(3): 271-288. DOI:10.1016/S0165-0114(01)00098-7
doi: 10.1016/S0165-0114(01)00098-7
|
8 |
吴望名. Fuzzy蕴涵代数[J]. 模糊系统与数学, 1990, 4(1): 56-64. WU W M. Fuzzy implication algebras[J]. Fuzzy Systems and Mathematics, 1990, 4(1): 56-64.
|
9 |
刘练珍, 王国俊. Fuzzy蕴涵代数与MV代数[J]. 模糊系统与数学, 1998, 12(1): 20-25. LIU L Z, WANG G J. Fuzzy implication algebras and MV algebras[J]. Fuzzy Systems and Mathematics, 1998, 12(1): 20-25.
|
10 |
吴达. 交换Fuzzy蕴涵代数[J]. 模糊系统与数学, 1999, 13(1): 27-30. WU D. Commutative Fuzzy implication algebras[J]. Fuzzy Systems and Mathematics, 1999, 13(1): 27-30.
|
11 |
张花荣, 兰蓉. 剩余格与FI代数的可嵌入性[J]. 模糊系统与数学, 2003, 17(1): 18-23. DOI:10.3969/j.issn.1001-7402.2003.01.003 ZHANG H R, LAN R. The embeddability of residuated lattice and FI algebras[J]. Fuzzy Systems and Mathematics, 2003, 17(1): 18-23. DOI:10. 3969/j.issn.1001-7402.2003.01.003
doi: 10. 3969/j.issn.1001-7402.2003.01.003
|
12 |
刘练珍, 李开泰. FI代数同构于一族全序FI代数的直积的子代数的条件[J]. 纯粹数学与应用数学, 2004, 20(1): 63-67. DOI:10.3969/j.issn.1008-5513. 2004.01.013 LIU L Z, LI K T. The conditions of FI algebra to be a subalgebra of direct product of a system of linearly ordered FI algebras[J]. Pure and Applied Mathematics, 2004, 20(1): 63-67. DOI:10.3969/j.issn.1008-5513.2004.01.013
doi: 10.3969/j.issn.1008-5513.2004.01.013
|
13 |
朱怡权. 基于FI代数的一个逻辑系统[J]. 模糊系统与数学, 2005, 19(2): 25-29. doi:10.3969/j.issn.1001-7402.2005.02.005 ZHU Y Q. A logic system based on FI-algebras and its completeness[J]. Fuzzy Systems and Mathematics, 2005, 19(2): 25-29. doi:10.3969/j.issn.1001-7402.2005.02.005
doi: 10.3969/j.issn.1001-7402.2005.02.005
|
14 |
朱怡权, 曹喜望. 关于PFI代数与剩余格[J]. 数学进展, 2006, 35(2): 223-231. doi:10.3969/j.issn.1000-0917.2006.02.013 ZHU Y Q, CAO X W. On PFI-algebras and residuated lattices[J]. Advances in Mathematics, 2006,35(2): 223-231. doi:10.3969/j.issn.1000-0917.2006.02.013
doi: 10.3969/j.issn.1000-0917.2006.02.013
|
15 |
刘春辉, 徐罗山. Fuzzy蕴涵代数的MP滤子[J]. 模糊系统与数学, 2009, 23(2): 1-6. LIU C H, XU L S. MP-filters of Fuzzy implication algebras[J]. Fuzzy Systems and Mathematics, 2009, 23(2): 1-6.
|
16 |
裴道武, 王三民, 王瑞. 模糊蕴涵格理论[J]. 高校应用数学学报, 2011, 26(3): 343-354. DOI:10. 3969/j.issn.1000-4424.2011.03.012 PEI D W, WANG S Y, WANG R. Theory of fuzzy implication lattices[J]. Applied Mathematics A Journal of Chinese Universities, 2011, 26(3): 343-354. DOI:10.3969/j.issn.1000-4424.2011.03.012
doi: 10.3969/j.issn.1000-4424.2011.03.012
|
17 |
PEI D W. A survey of Fuzzy implication algebras and their axiomatization[J]. International Journal of Approximate Reasoning, 2014, 55(8): 1643-1658. DOI:10.1016/j.ijar.2014.05.008
doi: 10.1016/j.ijar.2014.05.008
|
18 |
刘春辉. Fuzzy蕴涵代数的滤子理论[J]. 山东大学学报(理学版), 2013,48(9): 73-77. LIU C H. Theory of filters in Fuzzy implication algebras[J]. Journal of Shandong University (Science Edition), 2013,48(9): 73-77.
|
19 |
关晓红, 许格妮. FI代数的模糊滤子[J]. 模糊系统与数学, 2012, 26(6): 74-77. DOI:10.3969/j.issn.1001-7402.2012.06.011 GUAN X H, XU G N. Fuzzy filters of FI-algebras[J]. Fuzzy Systems and Mathematics, 2012, 26(6): 74-77. DOI:10.3969/j.issn.1001-7402.2012.06.011
doi: 10.3969/j.issn.1001-7402.2012.06.011
|
20 |
LIU C H, XU L S. Fuzzy MP-filters lattices on a given FI-algebra[J]. Chinese Quarterly Journal of Mathematics, 2013, 28(4): 625-632.
|
21 |
MICHIRO K, WIESLAW A D. Filter theory of BL-algebras[J]. Soft Computing, 2008, 12: 419-423. DOI:10.1007/s00500-007-0178-7
doi: 10.1007/s00500-007-0178-7
|
22 |
ZHU Y Q, XU Y. On filter theory of residuated lattices[J]. Information Sciences, 2010, 180(19): 3614-3632. DOI:10.1016/j.ins.2010.05.034
doi: 10.1016/j.ins.2010.05.034
|
23 |
LIU Y L, LIU S Y, XU Y, et al. ILI-ideals and prime LI-ideals in lattice implication algebras[J]. Information Sciences, 2003, 155(1/2): 157-175. DOI:10.1016/S0020-0255(03)00159-2
doi: 10.1016/S0020-0255(03)00159-2
|
24 |
刘春辉. 有界Heyting代数的扩张模糊LI-理想[J]. 浙江大学学报(理学版), 2021, 48(3): 289-297. DOI:10.3785/j.issn.1008-9497.2021.03.004 LIU C H. Expand fuzzy LI-ideals in bounded Heyting algebras[J]. Journal of Zhejiang University (Science Edition), 2021, 48(3): 289-297. DOI:10. 3785/j.issn.1008-9497.2021.03.004
doi: 10. 3785/j.issn.1008-9497.2021.03.004
|
25 |
ZHANG X H, WANG K Y, DUDEK W A. Ultra LI-ideals in lattice implication algebras and MTL-algebras[J]. Czechoslovak Mathematical Journal, 2007, 57(132): 591-605. DOI:10.1007/s10587-007-0100-6
doi: 10.1007/s10587-007-0100-6
|
26 |
LELE C, NGANOU J B. MV-algebras derived from ideals in BL-algebras[J]. Fuzzy Sets and Systems, 2013, 218: 103-113. doi:10.1016/j.fss.2012.09.014
doi: 10.1016/j.fss.2012.09.014
|
27 |
刘春辉. 否定非对合剩余格的LI-理想理论[J]. 高校应用数学学报, 2015, 30(4): 445-456. DOI:10. 3969/j.issn.1000-4424.2015.04.008 LIU C H. LI-ideals theory in negative non-involutive residuated lattices[J]. Applied Mathematics A Journal of Chinese Universities, 2015, 30(4): 445-456. DOI:10.3969/j.issn.1000-4424.2015.04.008
doi: 10.3969/j.issn.1000-4424.2015.04.008
|
28 |
LIU Y, QIN Y, QIN X Y, et al. Ideals and Fuzzy ideals on residuated lattices[J]. International Journal of Machine Learning and Cybernetics, 2017, 8(1): 239-253. DOI:10.1007/s13042-014-0317-2
doi: 10.1007/s13042-014-0317-2
|
29 |
LIU C H, XU L S. Prime LI-ideal spaces of MTL-algebras[J]. International Journal of Algebra, 2020, 14(4): 213-222. DOI:10.12988/ija.2020. 91259
doi: 10.12988/ija.2020. 91259
|