计算机科学 ›› 2016, Vol. 43 ›› Issue (1): 22-24.doi: 10.11896/j.issn.1002-137X.2016.01.005
• CRSSC-CWI-CGrC2015 • 上一篇 下一篇
廖翠萃,廖祖华,张龙祥,童娟,罗晴,刘维龙
LIAO Cui-cui, LIAO Zu-hua, ZHANG Long-xiang, TONG Juan, LUO Qing and LIU Wei-long
摘要： 首先将软集的参数集赋予亚BCI-代数的代数结构,给出新型软亚BCI-代数的概念;其次利用软集的交、且等运算,研究它的基本性质,并运用对偶软集的方法给出新型软亚BCI-代数的等价刻画;最后讨论新型软亚BCI-代数的同态像和原像的性质。
| [1] Imai Y,lséki K.On axiom systems of propositional calcumi XIV[J].Proceedings of the Japan Academy,1966,42(1):19-22 [2] lséki K.An algebra related with a propositional calculus XIV[J].Proceedings of the Japan Academy,1966,42(1): 26-29 [3] Chen Lu,Pu Yi-shu.Sub-BCI-algebra and its Ideal[J].Pure and Applied Mathematics,2005,21(3):250-254(in Chinese)陈露,蒲义书.亚BCI-代数及其理想[J].纯粹数学与应用数学,2005,21(3):250-254 [4] Rosenfeld A.Fuzzy groups[J].Journal of Mathematical Analysis and Applications,1971,35(3):512-517 [5] Xi O G.Fuzzy BCK-algebras[J].Math Japon,1991,36:935-942 [6] Senapati T.A Study on Fuzzy BCK/BCI-algebras and RelatedAlgebraic Systems[M].Verlag:Scholar’s Press,2014 [7] Molodtsow D.Soft set theory-first results[J].Computers and Mathematics with Applications,1999,37(4/5):19-31 [8] Zadeh L A.Fuzzy sets[J].Information and Control,1965,8(65):338-353 [9] Pawlak Z.Rough sets[J].International Journal of Information and Computer Sciences,1982,11:341-356 [10] Atanassov K.Intuitionistic fuzzy sets[J].Fuzzy Sets and Systems,1986,20(1):87-96 [11] Maji P K,Biswas R,Roy A R.Soft Set Theory[J].Computers Mathematics with Applications,2003,45(4):555-562 [12] s, H,aˇman N.Soft sets and soft groups[J].Information Science,2007,177(13):2726-2735 [13] Jun Y B.Soft BCK/BCI algebras[J].Computers and Mathema-tics with Applications,2008,56(5):1408-1413 [14] Feng Feng,Jun Young-bae,Zhao Xian-zhong.Soft semirings[J].Computers and Mathematics with Applications,2008,56(10):2621-2628 [15] Fu Wen-qing,Li Sheng-gang.Soft BCK algebras[J].Computer Engineering and Applications,2010,46(10):5-6(in Chinese)伏文清,李生刚.软BCK 代数[J].计算机工程与应用,2010,46(10):5-6 [16] Liao Zu-hua,Rui Ming-li.Soft incline [J].Computer Engineering and Applications,2012,48(2):30-32(in Chinese)廖祖华,芮眀力.软坡[J].计算机工程与应用,2012,48(2):30-32 [17] Wen Yong-chuan.The study on soft set[D].Dalian:Liaoning Normal University,2008(in Chinese)温永川.关于软集的研究[D].大连:辽宁师范大学,2008 [18] Yin Xia,Liao Zu-hua,Zhu Xiao-ying,et al.Soft sets and new soft subgroups[J].Computer Engineering and Applications,2012,48(33):40-43(in Chinese)殷霞,廖祖华,朱晓英,等.软集与新型软子群[J].计算机工程与应用,2012,48(33):40-43 [19] Yin Xia,Liao Zu-hua.Study on soft groups[J].Journal of Computers,2013,8(4):960-967 [20] Zheng Gao-ping,Liao Zu-hua,Wang Ni-ni,et al.Soft lattice implication subalgebras[J].Applied Mathematics and Information Sciences,2013,7(3):1181-1186 [21] Guan Bei-bei,Liao Zu-hua,Zhu Xiao-ying,et al.Soft Subsemigroups[J].Fuzzy Systems and Mathematics,2014,28(4):39-44(in Chinese)关贝贝,廖祖华,朱晓英,等.软子半群[J].模糊系统与数学,2014,28(4):39-44 [22] Zhao Di,Liao Zu-hua,Zhu Xiao-ying,et al.Soft ideals of semigroups[J].Fuzzy Systems and Mathematics,2014,28(4):45-50(in Chinese)赵迪,廖祖华,朱晓英,等.半群的软理想[J].模糊系统与数学,2014,28(4):45-50 [23] Ye Ting,Liao Zu-hua,Zhu Xiao-ying,et al.Soft completelyprime ideals of semigroups[J].Fuzzy Systems and Mathematics,2014,28(3):1-5(in Chinese)叶婷,廖祖华,朱晓英,等.半群的软完全素理想[J].模糊系统与数学,2014,28(3):1-5 [24] Ye Ling-jun,Liao Zu-hua,Zhu Xiao-ying,et al.Soft completely regular sub-semigroups[J].Chinese Journal of Engineering Mathematics,2014,31(3):341-346(in Chinese) 叶灵军,廖祖华,朱晓英,等.软完全正则子半群[J].工程数学学报,2014,31(3):341-346 [25] Zheng Gao-ping,Liao Zu-hua,Wang Ni-ni,et al.Soft LI-ideals of lattice implication algebra[J].Computer Engineering and Applications,2015,1(8):42-46(in Chinese)郑高平,廖祖华,王妮妮,等.格蕴含代数的软LI-理想[J].计算机工程与应用,2015,51(8):42-46 [26] Irfan A M,Feng Feng,Liu Xiao-yan,et al.On some new operations in soft set theory[J].Computers and Mathematics with Applications,2009,57(9):1547-1553 |
| No related articles found! |
|
||
首页