数学与计算机科学 |
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区间集上非交换剩余格<∈,∈∪Q>-fuzzy滤子的构造 |
乔希民1, 吴洪博2 |
1. 商洛学院数学与计算机应用学院, 陕西商洛 726000; 2. 陕西师范大学数学与信息科学学院, 陕西西安 710062 |
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Structure of non-commutative residual lattice <∈, ∈∪Q>-fuzzy filter on interval sets |
QIAO Ximin1, WU Hongbo2 |
1. College of Mathematics and Computer Application, Shangluo University, Shangluo 726000, Shaanxi Province, China; 2. College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, China |
[1] ZADEH L A. Fuzzy sets[J]. Information and Control,1965,8(3):338-353. [2] 胡宝清.模糊理论基础[M]. 第2版,武汉:武汉大学出版社,2010. HU Baoqing. Fuzzy Theory Foundation[M]. 2nd ed, Wuhan:Wuhan University Press,2010. [3] 胡启洲,张卫华.区间数理论的研究及其应用[M].北京:科学出版社,2010. HU Qizhou,ZHANG Weihua. Study and Application of Interval Number Theory[M].Beijing:Science Press, 2010. [4] YAO Yiyou. Interval sets and interval-set algebras[C]//The 8th IEEE International Conference on Cognitive Informatics. Hong Kong:IEEE Computer Society,2009:307-314. [5] 姚一豫.区间集[C]//王国胤,李德毅, 姚一豫,等.云模型与粒计算.北京:科学出版社,2012:74-93. YAO Yiyu. Interval sets[C]//WANG Guoyin,LI Deyi,YAO Yiyu,et al. Cloud Model and Granular Computing. Beijing:Science Press, 2012:74-93. [6] YAO Y Y. Two views of theory of rough sets in finite universes[J]. International Journal of Approximation Rersoning,1996,15(4):291-317. [7] 胡宝清.基于区间集的三支决策粗糙集[C]//刘盾,李天瑞,苗夺谦,等.三支决策与粒计算.北京:科学出版社,2013:163-195. HU Baoqing. Three-way decisions rough sets on interval sets[C]//LIU Dun, LI Tianrui, MIAO Duoqian,et al. Three-way Decisions and Granular Computing. Beijing:Science Press,2013:163-195. [8] LIN L Z., LI K T. Boolean filters and positive implicative filters of residuated lattices[J]. Information Sciences,2007,177(24):5725-5738. [9] WANG Z D, FANG J X. On v-filters and normal v-filters of a residuated lattice with a weak vt-operator[J].Information Sciences, 2008,178:3465-3473. [10] ZHAN J M, XU Y. Some types of generalized fuzzy filters of BL-algebras[J]. Computers and Mathematics with Applications, 2008,56(16):1640-1616. [11] 王国俊. 非经典数理逻辑与近似推理[M]. 第2版,北京:科学出版社, 2008. WANG Guojun. Nonclassical Mathematical Logic and Approximate Reasoning[M]. 2nd ed, Beijing:Science Press,2008. [12] 裴道武.基于三角模的模糊逻辑理论及其应用[M].北京:科学出版社,2013. PEI Daowu. Based on the Triangle Model of Fuzzy Logic Theory and Its Application[M].Beijing:Science Press,2013. [13] ROSENFELD A. Fuzzy groups[J]. Journal of Mathematical Analysis and Applications,1971,35:512-517. [14] BHAKAT S K, DAS P. On the definition of a fuzzy subgroup[J]. Fuzzy Sets Systems,1992,51:235-241. [15] BHAKAT S K,DAS P.<∈,∈vq>-fuzzy subgroup[J]. Fuzzy Sets Systems,1996,80:359-368. [16] BHAKAT S K, DAS P. Fuzzy subrings and ideals redefined[J]. Fuzzy Sets Systems,1996,81:383-393. [17] PU P M, LIU Y M. Fuzzy topologyⅠ:Neighborhood structure of a fuzzy point and moore-smith convergence[J]. Journal of Mathematical Analysis and Applications,1980,76(2):571-599. [18] PU P M, LIU Y M. Fuzzy topologyⅡ:Product and quotient spaces[J]. Journal of Mathematical Analysis and Applications,1980,77(2):20-37. [19] LIAO Z H, CU H.<∈,∈∨q(λ,μ)>-fuzzy normal subgroup[J]. Fuzzy Systems and Mathematics,2006,20(5):47-53. [20] YUAN X H, ZHANG C, REN R H. Generalized fuzzy subgroups and many-valued implications[J]. Fuzzy Sets and Systems,2003,138:205-211. [21] 乔希民,张东翰. 区间集上R0-代数的表示形式及其性质[J].重庆工商大学学报:自然科学版,2014,31(9):15-21. QIAO Ximin, ZHANG Donghan. The representation and properties of R0-algebra on interval sets[J]. Journal of Chongqing Technology and Business University:Natural Science Edition,2014,31(9):15-21. |
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