数学与计算机科学 |
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广义拟Sugeno积分的次可加性和自连续性 |
李艳红 |
辽东学院 师范学院 数学系,辽宁 丹东 118003 |
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The subadditivity and autocontinuity of the generalized quasi Sugeno integral |
LI Yanhong |
Department of Mathematics, Teacher’s College, Easten Liaoning University, Dandong 118003, Liaoning Province,China |
1 SUGENO M . Theory of Fuzzy Integrals and Its Applications[D]. Tokyo :Tokyo Institute of Technology, 1974. 2 WANG Z Y . The autocontinuity of set-function and the fuzzy integral[J]. Journal of Mathematical Analysis and Applications,1984, 99(1): 195-218. 3 SUGENO M , MUROFUSHI T .Pseudo-additive measures and integrals[J]. Journal of Mathematical Analysis Applications,1987,122(1):197-222. 4 蒋兴忠 . tK-积分和Kt-积分[J]. 四川师范大学学报(自然科学版), 1993, 16(2): 31-39. JIANG X Z . tk-integral and Kt-integral[J]. Journal of Sichuan Normal University(Natural Science Edition),1993,16(2):31-39. 5 王贵君,李晓萍 . K-拟可加模糊积分的绝对连续性[J]. 四川师范大学学报(自然科学版),1998,21(3):251-255. WANG G J , LI X P . Absolution continuity of K-pseudo-additive fuzzy integrals[J].Journal of Sichuan Normal University( Natural Science Edition),1998,21(3):251-255. 6 王贵君,李晓萍 . K-拟可加模糊数值积分的自连续性[J].数学杂志,2006,26(6):635-641.DOI:10.3969/j.issn.0255-7797.2006.06.009 WANG G J , LI X P . Autocontinuity of K-quasi-additive fuzzy number valued integrals[J]. Journal of Mathematics, 2006,26(6):635-641. DOI:10.3969/j.issn.0255-7797.2006.06.009 7 李艳红,王贵君 . K-拟可加模糊测度空间上广义Sugeno模糊积分[J].浙江大学学报(理学版),2010,37(4):376-380. DOI:10.3785/j.issn.1008-9497.2010.04.003 LI Y H , WANG G J . Generalized Sugeno fuzzy integrals on K-quasi-additive fuzzy measure space[J]. Journal of Zhejiang University(Science Edition), 2010,37(4):376-380.DOI:10.3785/j.issn.1008-9497.2010.04.003 8 李艳红 .广义拟Sugeno模糊积分的确界式等价表示[J].浙江大学学报(理学版),2014,41(2):127-131.DOI:10.3785/j.issn.1008-9497.2014.02.002 LI Y H . Equivalent representations of generalized quasi-Sugeno fuzzy integral in supremum forms[J].Journal of Zhejiang University(Science Edition), 2014,41(2):127-131.DOI:10.3785/j.issn.1008-9497.2014.02.002 9 张广全 .模糊测度论[M].贵阳:贵州科技出版社, 1994. ZHANG G Q . Fuzzy Measure Theory [M]. Guiyang:Guizhou Science and Technology Press,1994. 10 哈明虎,吴从炘 .模糊测度与模糊积分理论[M].北京:科学出版社,1998. HA M H, WU C X . Fuzzy Measure and Theories of Fuzzy Integral[M]. Beijing: Science Press, 1998. 11 HESSE G , HAGEL R . Die chromatographische Racemattrennung[J]. European Journal of Organic Chemistry, 1976(6):996-1008.DOI:10.1002/jlac.197619760604 12 FRANCOTTE E , WOLF R M , LOHMANN D , et al . Chromatographic resolution of racemates on chiral stationary phases : I. Influence of the supramolecular structure of cellulose triacetate[J]. Journal of Chromatography A, 1985, 347:25-37. DOI:10.1016/S0021-9673(01)95466-4 13 BLASCHKE G . Chromatographic resolution of racemates. New analytical methods(17)[J]. Angewandte Chemie International Edition, 1980, 19(1):13-24. DOI:10.1002/anie.198000131 14 FRANCOTTE E , WOLF R M . Benzoyl cellulose beads in the pure polymeric form as a new powerful sorbent for the chromatographic resolution of racemates[J]. Chirality, 1991, 3(1):43-55.DOI:10.1002/chir.530030109 15 OKAMOTO Y , KAIDA Y , HAYASHIDA H , et al . Tris(1-phenylethylcarbamate)s of cellulose and amylose as useful chiral stationary phases for chromatographic optical resolution[J]. ChemInform, 2010, 22(10):909-912. DOI:10.1246/cl.1990.909 |
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