JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (2): 119-126.doi: 10.6040/j.issn.1671-9352.0.2015.156
PENG Jia-yin
CLC Number:
[1] 宋振明. 基于格蕴涵代数的智能控制中的不确定性推理的研究[D]. 成都:西南交通大学,1998: 14-15. SONG Zhengming. Research on the uncertainty reasoning of intelligent control based on lattice implication algebra[D]. Chengdu: Southwest Jiaotong University, 1998: 14-15. [2] 徐杨. 格蕴涵代数[J]. 西南交通大学学报, 1993, 28(1):20-27. XU Yang. Lattice implication algebras[J]. Journal of Southwest Jiaotong University, 1993, 28(1):20-27. [3] 徐杨. 格蕴涵代数中的同态[C] //中国第五届多值逻辑学术会议论文集,1992: 206-210. XU Yang. The homomorphism of the lattice implication algebras[C]. Proceedings of the fifth conference on multi valued logic conference in China, 1992: 206-210. [4] 宋振明,徐杨. 格蕴涵代数上的同余关系[J].应用数学,1997,10(3):121-124. SONG Zhenming, XU Yang. Congruence relations on lattice implication algebra[J]. Mathematica Applicata, 1997,10(3):121-124. [5] 徐杨,秦克云. 格H蕴涵代数与格蕴涵代数类[J]. 河北煤炭建筑工程学院学报,1992,3:139-143. XU Yang, QIN Keyun. Lattice H implication algebras and class of lattice implication algebras[J]. Journal of Hebei Coal Building Engineering Institute, 1992, 3:139-143. [6] 赵丽. 格蕴涵代数及其乘积结构研究[D]. 成都:西南交通大学,2012: 12-49. ZHAO Li. Research on lattice implication algebra and its product structure[D]. Master Thesis of Southwest Jiaotong University, 2012: 12-49. [7] XU Yang, QIN Keyun. On the filters of lattice implication algebras[J]. Journal of Fuzzy Mathematics, 1993, 1(2):251-260. [8] QIN Keyun, XU Yang. On the super filters of lattice implication algebras[J]. Journal of Southwest Jiaotong University, 1999, 34(1):52-54. [9] JUN Youngbae. Implication filter of lattice implication algebras[J]. Bulletin of the Korean Mathematical Society, 1997, 34(2):193-198. [10] JUN Youngbae, XU Yang. Qin Keyun. Positive implicative and associative filter of lattice implication algebras[J]. Bulletin of the Korean Mathematical Society, 1998, 35(1):51-61. [11] JUN Youngbae. The prime filters theorem of lattice implication algebras[J]. International Journal of Mathematics and Mathematical Science, 2001, 25(2):115-118. [12] 吴明慧,徐杨. 格蕴涵代数的布尔滤子[J]. 毕节学院学报, 2011, 29(4):1-5. WU Minghui,XU Yang. Boolean filters of lattice implication algebras[J]. Journal of Bijie University, 2011, 29(4):1-5. [13] 郭玲. 格蕴涵代数及生成滤子结构研究[D]. 成都:西南交通大学, 2012: 19-27. GUO Ling. Research on lattice implication algebra and structures of generated filters[D] , Master Thesis of Southwest Jiaotong University, 2012: 19-27. [14] ZADEH L A. Fuzzy sets[J]. Information Control, 1965, 8(3):338-353. [15] 徐扬,秦克云.模糊格蕴涵代数[J].西南交通大学学报, 1995,30(2):121-127 XU Yang, QIN Keyun. Fuzzy lattice implication algebras[J]. Journal of Southwest Jiaotong University, 1995, 30(2):121-127. [16] QIN Keyun, XU Yang. On some properties of fuzzy filters of lattice implication algebras[M] // Liu Y M. Fuzzy Set Theory and its Application Baoding: Press of Hebei University, 1999: 179-182. [17] JUN Youngbae. Fuzzy positive implicative and fuzzy associative filters of lattice implication algebras[J]. Fuzzy Sets and Systems, 2001, 121(2):353-357. [18] ZADEH L A. The concept of a lingnist variable and its application to approximate reasoning-I[J]. Information Sciences, 1965, 8(3):338-353. [19] 秦亚, 钟纯真, 刘熠.格蕴涵代数的T-模糊滤子[J]. 西南民族大学学报:自然科学版, 2010,36(5):730-734. QIN Ya, ZHONG Chunzhen, LIU Yi. On T-fuzzy filter of lattice implication algebras[J]. Journal of Southwest University of Nationalities: Natural Science Edition, 2010, 36(5):730-734. [20] 傅小波, 战学秋, 廖祖华.格蕴涵代数的(∈,∈∨q(λ,μ))-模糊滤子[J]. 计算机科学与探索, 2014, 8(3):376-384. FU Xiaobo, ZHAN Xueqiu, LIAO Zuhua.(∈,∈∨q(λ,μ))-fuzzy filter of lattice implication algebras[J]. Journal of Frontiers of Computer Science and Technology, 2014, 8(3):376-384. [21] 刘熠,钟纯真. 格蕴涵代数的区间值J-模糊滤子理论[J]. 模糊系统与数学, 2013, 27(4):74-83. LIU Yi, ZHONG Chunzhen. Interval-valued J-fuzzy filters on lattice implication algebras[J]. Fuzzy Systems and Mathematics, 2013, 27(4):74-83. [22] 裴峥. 格蕴涵代数中的直觉模糊滤子[J]. 西华大学学报(自然科学版), 2007, 26(2):17-20. PEI Zheng. Intuitionistic fuzzy filter of lattice implication algebra[J]. Journal of Xihua University(Natural Science), 2007, 26(2):17-20. [23] 彭家寅, 莫智文. 格蕴涵代数滤子的粗糙性[J]. 数学的实践与认识, 2012, 42(20):217-222. PENG Jiayin, MO Zhiwen. Roughness of filters in lattice implication algebras[J]. Mathematics in Practice and Theory, 2012, 42(20):217-222. [24] 廖祖华, 王妮妮, 郑高平, 等. 格蕴涵代数的软滤子[J]. 计算机工程与应用, 2015,51(9):72-76. LIAO Zuhua, WANG Nini, ZHENG Gaoping, et al. Soft filters of lattice implication algebra[J]. Computer Engineering and Applications, 2015, 51(9):72-76. [25] 吴望名. 模糊推理的原理和方法[M].贵阳:贵州科技出版社,1994. WU Wangming. Principles and methods of fuzzy resoning[M]. Guiyang: Science and Technology Press in Guizhou, 1994. [26] 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 Guojun. Non classical mathematical logic and approximate reasoning[M]. Beijing: Science Press, 2003. [27] ROSSER J B, TURQUETTE A R. Many-valued logics[M]. New York: Springer, 1952. [28] YING Mingsheng. A new approach for fuzzy topology(I)[J]. Fuzzy Sets and Systems, 1991, 39(3):303-321. [29] YING Mingsheng. A new approach for fuzzy topology(II)[J]. Fuzzy Sets and Systems, 1992, 47(2):201-231. [30] YING Mingsheng. A new approach for fuzzy topology(III)[J]. Fuzzy Sets and Systems, 1993, 55(2):193-207. |
[1] | LIU Chun-hui. On(∈,∈∨q(λ, μ))-fuzzy LI-ideals in lattice implication algebras [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(2): 65-72. |
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