著作名稱: | 葉啟村、謝馨慧、蔡欣潔、張清峰、吳育虹、徐柏榕、蘇淑貞、林琮勝,2003/12,學校本位網路電腦輔助學習之研究-以省躬國小為例,九年一貫課程教與學(台南師範學院實習輔導處),p.156-193。 |
年度: | 2003 |
類別: |
學術專書
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摘要: | |
關鍵字: | |
著作名稱: | Note on “symmetric triangular approximations of fuzzy numbers under a general condition and properties” |
年度: | 2018 |
類別: |
期刊論文
Soft Computing
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摘要: | We show by a counterexample that Theorem 2 in Ban, Coroianu [Soft Computing (2016) 20:1249-1261] is
not always the symmetric triangular fuzzy number nearest to a given fuzzy number. In addition, a corrected version is
provided. |
關鍵字: | Fuzzy numbers, Symmetric triangular approximation |
著作名稱: | Existence of interval, triangular, and trapezoidal approximations of fuzzy numbers under a general condition |
年度: | 2017 |
類別: |
期刊論文
Fuzzy Sets and Systems
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摘要: | Recently, many scholars studied approximations of fuzzy numbers by specific fuzzy numbers under preservation of some oper-ators. In fact, these approximations may not exist for some linear operators. The purpose of this paper is to study necessary and sufficient conditions of linear operators which are preserved by interval, triangular, symmetric triangular, trapezoidal, or symmetric trapezoidal approximations of fuzzy numbers. In addition, an effective method for solving such problems is proposed. |
關鍵字: | Fuzzy numbers; Trapezoidal approximations; Triangular approximations; Linear operators; Expected interval; Value; Ambiguity |
著作名稱: | Approximations by LR-type fuzzy numbers |
年度: | 2014 |
類別: |
期刊論文
Fuzzy Sets and Systems
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摘要: | Recently, many scholars investigated interval, triangular, and trapezoidal approximations of fuzzy numbers. These publications can be grouped into two classes: Euclidean distance class and non-Euclidean distance class. Most approximations in Euclidean distance class can be calculated by formulas, but calculating approximations in the other class is more complicated. Furthermore, approximations in Euclidean distance class can be divided into two subclasses. One is to study approximations of fuzzy numbers without constraints, the other one is to study approximations preserving some attributes. In this paper, we use LR-type fuzzy numbers to approximate fuzzy numbers. The proposed approximations will generalize all recent approximations without constraints in Euclidean class. Also, an efficient formula is provided. |
關鍵字: | LR-type fuzzy numbers; Trapezoidal approximation; Symmetric triangular approximation; Unimodal |
著作名稱: | Weighted semi-trapezoidal approximations of fuzzy numbers |
年度: | 2011 |
類別: |
期刊論文
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摘要: | Abstract
Recently, many scholars investigated interval, triangular, and trapezoidal approximations of fuzzy numbers. These publications can be grouped into two classes: Euclidean distance class and non-Euclidean distance class. Most approximations in Euclidean distance class can be calculated by formulas, but calculating approximations in the other class is more complicated. In the present paper, we study a special class of non-linear approximations with respect to a weighted Euclidean distance. We call it “weighted semi-trapezoidal approximations”. The proposed approximations generalize all recent approximations in Euclidean distance class. First, we embed fuzzy numbers into a Hilbert space. Then compute weighted semi-trapezoidal approximations by means of best approximations in a closed convex subset of the Hilbert space. Finally, we propose formulas of matrix type, which is more clear than the previous contributions. |
關鍵字: | Fuzzy numbers; Approximation; Hilbert space |
著作名稱: | Reduction to least-squares estimates in multiple fuzzy regression analysis, IEEE Transactions on Fuzzy Systems, Vol. 17 No. 4 p. 935-948, SCI, IF= 3.624(2008). |
年度: | 2009 |
類別: |
期刊論文
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摘要: | |
關鍵字: | |
著作名稱: | Weighted trapezoidal and triangular approximations of fuzzy numbers, Fuzzy Sets and Systems, 160/21 p.3059-3079, SCI, IF= 1.833(2008). |
年度: | 2009 |
類別: |
期刊論文
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摘要: | |
關鍵字: | |
著作名稱: | C.-T. Yeh, On improving trapezoidal and triangular approximations of fuzzy numbers, International Journal of Approximate Reasoning, 48/1 p. 297-313, SCI, IF= 1.708(2008). |
年度: | 2008 |
類別: |
期刊論文
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摘要: | |
關鍵字: | |
著作名稱: | C.-T. Yeh,Trapezoidal and triangular approximations preserving the expected interval , Fuzzy Sets and Systems, 159/11 p.1345-1353, SCI, IF= 1.833(2008). |
年度: | 2008 |
類別: |
期刊論文
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摘要: | |
關鍵字: | |
著作名稱: | C.-T. Yeh, On the minimal solutions of max-min fuzzy relational equations , Fuzzy Sets and Systems , 159/1 (2008) p. 23-39, SCI, IF= 0.878(2008). |
年度: | 2008 |
類別: |
期刊論文
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摘要: | |
關鍵字: | |
著作名稱: | C.-T. Yeh, A note on trapezoidal approximations of fuzzy numbers , Fuzzy Sets and Systems, 158/7 (2007), p.747-754, SCI, IF= 1.833(2008). |
年度: | 2007 |
類別: |
期刊論文
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摘要: | |
關鍵字: | |
著作名稱: | C.-L. Chuang, T.-K. Lee, C.-T. Yeh, Minimal polynomials of algebraic derivations and automorphisms, Linear Algebra and its Applications, 423/2-3 (2007) p.339-350, SCI, IF= 0.878(2008). |
年度: | 2007 |
類別: |
期刊論文
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摘要: | |
關鍵字: | |
著作名稱: | C.-T. Yeh, C. L. Chuang, Nil Polynomials of Prime Rings, Journal of Algebra, 186/3(1996), p.781-792, IF= 0.630(2008). |
年度: | 1996 |
類別: |
期刊論文
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摘要: | |
關鍵字: | |
著作名稱: | C.-T. Yeh, Reduction of fuzzy linear systems of dual equations, International Journal of fuzzy systems, vol. 9 no. 3 (2007) p.173-178, EI. |
年度: | 2007 |
類別: |
期刊論文
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摘要: | |
關鍵字: | |
著作名稱: | 蔡欣潔、葉啟村,2006/04,國小高年級學童機率概念與其學習前數學概念之關聯性研究,南大學報40卷1期教育研究學報,p.51-73。 |
年度: | 2006 |
類別: |
期刊論文
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摘要: | |
關鍵字: | |
著作名稱: | 黃培甄、葉啟村,2005/04,國小六年級因數與倍數單元之創新架構研究,南大學報39卷1期數理與科學類,p.61-89。 |
年度: | 2005 |
類別: |
期刊論文
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摘要: | |
關鍵字: | |
著作名稱: | 葉啟村、李貞慧,2003/10,低年級學童使用數的分解紀錄對解決加減問題效性之研究,南師學報第三十七卷第二期數理與科學類,p.9-31。 |
年度: | 2003 |
類別: |
期刊論文
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摘要: | |
關鍵字: | |
著作名稱: | C.-T. Yeh,1999/10,Nil *-Polynomials of Prime Rings with Involutions,南師學報(1999)第三十二期數學,p.369-376。 |
年度: | 1999 |
類別: |
期刊論文
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摘要: | |
關鍵字: | |
著作名稱: | C.-T. Yeh,1998/10,Structures of Nilpotent Matrix Subalgebras, 南師學報 第三十一期數學,p.297-302。 |
年度: | 1998 |
類別: |
期刊論文
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摘要: | |
關鍵字: | |
著作名稱: | 葉啟村,1998,教兒童懂得去玩,國教之友第548期p9-12(第四十九卷第四期)。 |
年度: | 1998 |
類別: |
期刊論文
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摘要: | |
關鍵字: | |
著作名稱: | Approximations by interval, triangular and trapezoidal fuzzy numbers, 2009 International Fuzzy Systems Association World Congress/2009 European Society for Fuzzy Logic and Technology Conference |
年度: | 2009 |
類別: |
會議論文
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摘要: | |
關鍵字: | |
著作名稱: | 李昆達、葉啟村,2005/10,從van Hiele發展層次分析國小六年級學童平行概念之研究,2005年台灣教育學術研討會論文集,B-56(p.1-36)。 |
年度: | 2005 |
類別: |
會議論文
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摘要: | |
關鍵字: | |
著作名稱: | 葉啟村、葉淑慧、曾建勳,2004/12,國小面積保留概念電腦化測驗發展,中華民國第二十屆科學教育學術研討會,B43。 |
年度: | 2004 |
類別: |
會議論文
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摘要: | |
關鍵字: | |
著作名稱: | 蔡欣潔、葉啟村,2004/10,國小六年級學童機率概念表現之研究,93學年度師範院校教育學術論文發表會,p.1361-1390。 |
年度: | 2004 |
類別: |
會議論文
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摘要: | |
關鍵字: | |