模糊拓?fù)鋵W(xué)_碩士學(xué)位論文-資料下載頁(yè)
2025-08-21 20:16本頁(yè)面
【導(dǎo)讀】[1]為骨架提出模糊拓?fù)淇臻g的概念[2]以來(lái),,正因如此,分明拓?fù)鋵W(xué)中的幾乎全部結(jié)果都可以推廣到模糊拓?fù)鋵W(xué)中來(lái),如開集、閉集、鄰域、F-連續(xù)映射及其特征刻畫定理,覆蓋性質(zhì)和緊性及其在連續(xù)映射下的不變性[3],但作為建立完整的模糊拓?fù)鋵W(xué)理論的總進(jìn)程來(lái)看,,像在分明拓?fù)鋵W(xué)中那樣[4],,若中正則開集的原象是中的開集,則稱是幾乎連續(xù)的.[4][5]引入了所謂幾乎緊性,F-拓?fù)淇臻g叫幾乎緊的,若的每個(gè)開覆蓋都有有限子族,其中各開集的閉包覆蓋.其它比如Borel集、半開集、絕對(duì)閉性、[6]與[7]鑒于Pawlak粗糙集模型和覆蓋廣義粗糙集模型中的下近似集和上近似集分別對(duì)應(yīng)于某一拓?fù)淇臻g的子集的內(nèi)部和閉包,定義了分明拓?fù)淇臻g中的子集關(guān)于子基的內(nèi)部和閉包,,并引入了相應(yīng)的附著點(diǎn)、聚點(diǎn)等概念,同時(shí)討論了網(wǎng)的收斂,刻畫了-空間中的連續(xù)序同態(tài)、連通性、分離性以及緊性.若沒有特別說(shuō)明,本章中的即指子基.稱是網(wǎng)的-極限點(diǎn),如果,最終在中,記為.[14]設(shè)是中的網(wǎng),稱擬重于,如果,.
【正文】 [1] ,Fuzzy ,1965,8:338353.[2]Chang,.,Fuzzy topological spaces[J]., 1968,24:191201.[3],Covering properties of fuzzy topological spaces,JMAA, 1973,43:697704.[4],On fuzzy semicontinuity,fuzzy almost continuity and fuzzy weakly continuity[J].JMAA, 1981,82:1432.[5] and G. Gerla,Almost patness in fuzzy topological slaces[J],FSS, 1984,13:187192.[6][J].數(shù)學(xué)進(jìn)展,2006,35（4）:476484.[7][J].系統(tǒng)工程理論與實(shí)踐,2005,（7）:136140.[8][J].數(shù)學(xué)學(xué)報(bào),1981,24:260268.[9] new fuzzy pactness defined by fuzzy nets[J].JMAA, 1983,94:123.[10], and , Compactness in fuzzy topological spaces[J]. . , 1978,62:547562.[11], A parision of different pactness in fuzyy topological spaces,JMAA, 1978,54:446454.[12]孟廣武,[J].模糊系統(tǒng)與數(shù)學(xué),2003,17(3):2427.[13][M].西安,陜西師范大學(xué)出版社,1988.[14]FuGui Shi,Zheng of fuzzy nets and its Sets and Systems[J]. 2003(140)：499507.[15]王國(guó)民,[J].模糊系統(tǒng)與數(shù)學(xué), 1996,10 (4)：5156.[16]徐振國(guó),[J].北京理工大學(xué)學(xué)報(bào),2006,26(2)：181184.[17]Krateska strongly preopen sets and fuzzy strong precontinuity Vesnik, 1998,50:111123.[18]（I）[J]. 模糊系統(tǒng)與數(shù)學(xué),2006,20（1）：8186.[19]姜金平,王小霞,（II）[J].模糊系統(tǒng)與數(shù)學(xué),2007,2(1)：1923.[20] 點(diǎn)式度量空間與一種T2分離性[J].首都師范大學(xué)學(xué)報(bào)（自然科學(xué)版）,21（1）：812.[21]Shi new approach to LT2,LUrysohn,and Lpletely Hausdorff axioms[J].Fuzzy Sets and Systems,2006(157):794803.[22],Powerset operator foundations for poslat fuzzy set theories and topologies ,Mathematics of Fuzzy Sets:Logic,Topology,and Measure Theory,The Handbooks of Fuzzy Sets Series,Kluwer Academic Publishers,Dordrecht,1999:91116.[23], Pointset latticetheoretic topology,Fuzzy Sets and Systems,40(1991),297345.[24],Compactness and Tychnoff Theorem in fuzzy topological spaces,Acta Mathemematica Sinica 1981,24:260268.[25]Shi New Definition of Fuzzy Sets and Systems,2006.[26]Shi fugui. A New Form of Fuzzy Compactness, Mathemematica Bohemica,2006(131):1518[27]Shi New Form of Fuzzy ,2005(24):105119.[28]Shi new notion of fuzzy pactness in Ltopological spaces[J].Information Sciences, 2005(173)：3548.[29]Shi in LTopoligical Spaces. Proyecciones, 2005, 24(2):153165.[30]Shi in LTopoligical Logic,Soft Computing and Computational Inteligence(11th IFSA World Congress 2005):268272.[31][J].模糊系統(tǒng)與數(shù)學(xué),2003,19(3):9295. [32][J].模糊系統(tǒng)與數(shù)學(xué),1991,5(2):3037.[33]Li Shenggang et al. Strong fuzzy pact sets and ultrafuzzy pact sets in Ltopological spaces [J]. Fuzzy Sets and Systems 2004,147:307316 .[34]孟廣武,（Ⅰ）[J].聊城大學(xué)學(xué)報(bào),2002,15（1）:110.[35]Meng Han, Meng Guangwu. Almost N—pact sets in Lfuzzy topological spaces .Fuzzy Sets and Systems, 1997,91:115—122.[36]Chen Almost Nice Journal of Fuzzy Mathematics ,1999,7(1): 91100. [37]Chen Fpactness in Lfuzzy topological spaces[J].J. Northeastern Math. 1991（7）:44284432.[38][J].陜西師范大學(xué)學(xué)報(bào),1990,18（4）：7－9.
環(huán)評(píng)公示相關(guān)推薦
鄂ICP備17016276號(hào)-1