数学与计算机科学 |
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格的反软理想 |
童娟1, 廖祖华1, 赵衍才1,2, 廖翠萃1, 张龙祥1, 路腾1, 吴树忠1 |
1. 江南大学 理学院 信息与计算科学系, 江苏 无锡 214122; 2. 无锡城市职业技术学院 基础课部, 江苏 无锡 214153 |
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Anti-soft ideals of lattices |
TONG Juan1, LIAO Zuhua1, ZHAO Yancai1,2, LIAO Cuicui1, ZHANG Longxiang1, LU Teng1, WU Shuzhong1 |
1. Department of Information and Computer Science, School of Science, Jiangnan University, Wuxi 214122, Jiangsu Province, China; 2. Department of Basic Science, Wuxi City College of Vocational Technology, Wuxi 214153, Jiangsu Province, China |
引用本文:
童娟, 廖祖华, 赵衍才, 廖翠萃, 张龙祥, 路腾, 吴树忠. 格的反软理想[J]. 浙江大学学报(理学版), 2017, 44(1): 33-39.
TONG Juan, LIAO Zuhua, ZHAO Yancai, LIAO Cuicui, ZHANG Longxiang, LU Teng, WU Shuzhong. Anti-soft ideals of lattices. Journal of Zhejiang University (Science Edition), 2017, 44(1): 33-39.
链接本文:
https://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2017.01.005
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https://www.zjujournals.com/sci/CN/Y2017/V44/I1/33
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[1] MOLODTSOV D. Soft set theory-first results[J]. Computers and Mathematics with Applications,1999,37:19-31. [2] MAJI P K, BISWAS R, ROY A R. Soft set theory[J]. Computers and Mathematics with Applications, 2003,45:555-562. [3] MAJI P K, ROY A R. An application of soft sets in a decision making problem[J]. Computers and Mathematics with Applications, 2002,44:1077-1083. [4] AKTAS H, CAGMAN N. Soft sets and soft groups[J]. Information Sciences, 2007,177:2726-2735. [5] BIRKHOFF G. Lattice Theory[M]. Providence:American Mathematical Society,1961. [6] 胡长流,宋振明.格论基础[M].开封:河南大学出版社,1990. HU C L, SONG Z M. Lattices Theory Foundation[M]. Kaifeng:Henan University Press,1990. [7] LI F. Soft lattices[J]. Global Journal of Science Frontier Research,2010,10(4):157-159. [8] 吴广庆.格的L-fuzzy素理想[J].模糊系统与数学,2008,22(4):63-67. WU G Q. L-fuzzy prime ideals of lattice[J]. Fuzzy Systems and Mathematics, 2008,22(4):63-67. [9] 花秀娟,朱熙.L-fuzzy格及(λ,μ)-fuzzy凸子格[J].纺织高校基础科学学报,2009,22(4):529-531. HUA X J, ZHU X. L-fuzzy lattice and(λ,μ)-fuzzy convex sublattice[J]. Basic Sciences Journal of Textile Universities, 2009,22(4):529-531. [10] 花秀娟,辛小龙,刘庆.(∈,∈∨q)-模糊素理想与(λ,μ)-模糊子格(理想)[J].模糊系统与数学,2010,24(4):33-38. HUA X J, XIN X L, LIU Q. (∈,∈∨q)-Fuzzy prime ideal and (λ,μ)-fuzzy sublattice(ideal)[J]. Fuzzy Systems and Mathematics, 2010,24(4):33-38. [11] 李京效,辛小龙,贺鹏飞.模糊软格与模糊软理想[J].模糊系统与数学,2014,28(2):69-75. LI J X,XIN X L, HE P F. Fuzzy soft lattices and fuzzy soft ideals[J]. Fuzzy Systems and Mathematics, 2014,28(2):69-75. [12] 王德江,梁久祯,廖祖华.R-广义模糊子格的理[J].计算机科学,2014,41(1):271-274. WANG D J, LIANG J Z, LIAO Z H. Ideal of R-generalized fuzzy sublattice[J]. Computer Science,2014,41(1):271-274. [13] BISWAS R. Fuzzy subgroups and anti fuzzy subgroups[J]. Fuzzy Sets and Systems,1990,35(1):121-124. [14] FENG Y M, YAO B X. On (λ,μ)-anti-fuzzy subgroups[J]. Journal of Inequalities and Applications,2012,78:1-5. [15] 郭二芳,李玉瑛,王绪柱.反模糊子群的运算[J].数学的实践与认识,2015,45(12):279-284. GUO E F, LI Y Y, WANG X Z. Operations of anti-fuzzy subgroups[J]. Mathematics in Practice and Theory, 2015,45(12):279-284. [16] ATANASSOV K T. On Intuitionistic Fuzzy Sets Theory[M]. Berlin/Heidelberg:Springer-Verlag, 2012. [17] BUSTINCE H, HERRERA F, MONTERO J. Fuzzy Sets and Their Extensions:Representation, Aggregation and Models[M]. New York:Springer Publishing Company:Physica -Verlag, 2007. [18] 吴修竹,廖祖华,刘维龙.反软子半群[J].模糊系统与数学,2015,29(5):44-50. WU X Z, LIAO Z H, LIU W L. Anti-soft subsemigroups[J]. Fuzzy Systems and Mathematics, 2015,29(5):44-50. [19] 童娟,廖祖华,路腾,等.反软子格[J].模糊系统与数学,2016,30(1):20-27. TONG J, LIAO Z H, LU T, et al. Anti-soft sublattices[J]. Fuzzy Systems and Mathematics,2016,30(1):20-27. [20] 温永川.关于软集的研究[D].大连:辽宁师范大学,2008. WEN Y C. The Study of Soft Set[D]. Dalian:Liaoning Normal University, 2008. [21] 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. ZHAO D, LIAO Z H, ZHU X Y, et al. Soft ideals of semigroup[J]. Fuzzy Systems and Mathematics,2014,28(4):45-50. [22] 殷霞,廖祖华,朱晓英,等.软集与新型软子群[J].计算机工程与运用,2012,48(33):40-43. YIN X, LIAO Z H, ZHU X Y, et al. Soft sets and the new soft subgroup[J]. Computer Engineering and Applications, 2012,48(33):40-43. [23] 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. YE L J, LIAO Z H, ZHU X Y, et al. Soft completely regular sub-semigroup[J]. Chinese Journal of Engineering Mathematics, 2014,31(3):341-346. [24] 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. GUAN B B, LIAO Z H, ZHU X Y, et al. Soft subsemigroups[J]. Fuzzy Systems and Mathematics,2014,28(4):39-44. [25] 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.YE T, LIAO Z H, ZHU X Y, et al. Soft completely prime ideals of semigroup[J]. Fuzzy Systems and Mathematics,2014,28(3):1-5. [26] YIN X, LIAO Z H. Study on soft groups[J].Journal of Computers,2013(8):960-967. [27] ZHENG G P, LIAO Z H, WANG N N, et al. Soft latti |
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