基于区间值模糊粗糙集的知识建模及相似性推理：焊接变形预报

Zhi-qiang FENG; Cun-gen LIU; Hu HUANG

doi:10.1631/jzus.C1300370

Your Location：

Home >

Browse articles >

基于区间值模糊粗糙集的知识建模及相似性推理：焊接变形预报

计算机与自动化 | Updated：2022-05-19

- 基于区间值模糊粗糙集的知识建模及相似性推理：焊接变形预报
- Knowledge modeling based on interval-valued fuzzy rough set and similarity inference: prediction of welding distortion
- 信息与电子工程前沿（英文） 2014年15卷第8期页码：636-650
- Affiliations：
  
  1.Maritime College, Qinzhou University, Qinzhou 535000, China
  2.State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
- Author bio：
  
  [ "Zhi-qiang FENG, E-mail: fzqsjtu@163.com" ]
  mrhuanghu@126.com
- Funds：
  
  Project supported by 2013 Comprehensive Reform Pilot of Marine Engineering Specialty (No. ZG0434)
- DOI：10.1631/jzus.C1300370
  中图分类号： TP18
- 收稿：2013-12-18，
  
  修回：2014-;7-16，
  
  纸质出版：2014-08
- Accepted：
Scan QR Code
基于区间值模糊粗糙集的知识建模及相似性推理：焊接变形预报[J]. 信息与电子工程前沿（英文）, 2014,15(8):636-650.

Zhi-qiang FENG, Cun-gen LIU, Hu HUANG. Knowledge modeling based on interval-valued fuzzy rough set and similarity inference: prediction of welding distortion[J]. Frontiers of Information Technology & Electronic Engineering, 2014, 15(8): 636-650.
基于区间值模糊粗糙集的知识建模及相似性推理：焊接变形预报[J]. 信息与电子工程前沿（英文）, 2014,15(8):636-650. DOI： 10.1631/jzus.C1300370.

Zhi-qiang FENG, Cun-gen LIU, Hu HUANG. Knowledge modeling based on interval-valued fuzzy rough set and similarity inference: prediction of welding distortion[J]. Frontiers of Information Technology & Electronic Engineering, 2014, 15(8): 636-650. DOI： 10.1631/jzus.C1300370.

摘要

研究目的

知识获取和知识推理是智能系统开发中的两大环节。基于知识的非机理性建模方法已成为复杂过程建模的一种趋势。为解决建模过程中对经验知识的依赖问题，进一步完善推理机制，本文基于粗糙集和区间值模糊集理论，研究知识建模及近似推理方法，并将其应用于船体结构焊接变形预报。对建模与推理中的理论、方法和实际问题的研究有助于认识焊接变形规律，并可进一步推广至其他复杂过程，促进系统建模理论的发展。

创新要点

将区间值模糊集与粗糙集理论结合，通过引入新的包含度来构造区间值模糊粗糙集模型，经过数据采集、区间值模糊化、属性约简、规则抽取等步骤，从信息系统中提取出一个简化的模糊知识模型，给出获取模糊知识模型的完整算法；通过对经典的合成规则推理与现有的相似性推理的机理分析，提出一种新的相似性推理--基于合成规则的相似性推理方法。

方法提亮

与现有的智能方法相比，本文的知识建模方法不依赖于经验知识，所构建的模型易于理解和编辑，运行速度快，计算精度较高，对复杂过程建模有较强的适应性。改进的相似性推理方法，既考虑规则前提与结论之间的内在关联，又把相似性匹配作为必要环节，这样，输入和前提所发生的变化均能在输出中反映出来，推理结果更趋合理。

重要结论

将上述方法应用在焊接变形预报方面，实验结果验证了算法有效性，表明算法对复杂过程建模具有较强适应性。

Abstract

Knowledge-based modeling is a trend in complex system modeling technology. To extract the process knowledge from an information system

an approach of knowledge modeling based on interval-valued fuzzy rough set is presented in this paper

in which attribute reduction is a key to obtain the simplified knowledge model. Through defining dependency and inclusion functions

algorithms for attribute reduction and rule extraction are obtained. The approximation inference plays an important role in the development of the fuzzy system. To improve the inference mechanism

we provide a method of similarity-based inference in an interval-valued fuzzy environment. Combining the conventional compositional rule of inference with similarity based approximate reasoning

an inference result is deduced via rule translation

similarity matching

relation modification

and projection operation. This approach is applied to the problem of predicting welding distortion in marine structures

and the experimental results validate the effectiveness of the proposed methods of knowledge modeling and similarity-based inference.

关键词

Keywords

references

K.T. Atanassov . . Intuitionistic fuzzy sets . . Fuzzy Sets Syst , , 1986 . . 20 ( ( 1 ): ): 87 - - 96 . . DOI: 10.1016/S0165-0114(86)80034-3 http://doi.org/10.1016/S0165-0114(86)80034-3 . .

H. Bustince , , , P. Burillo . . Vague sets are intuitionistic fuzzy sets . . Fuzzy Sets Syst , , 1996 . . 79 ( ( 3 ): ): 403 - - 405 . . DOI: 10.1016/0165-0114(95)00154-9 http://doi.org/10.1016/0165-0114(95)00154-9 . .

S.M. Chen . . A weighted fuzzy reasoning algorithm for medical diagnosis . . Dec. Support Syst , , 1994 . . 11 ( ( 1 ): ): 37 - - 43 . . DOI: 10.1016/0167-9236(94)90063-9 http://doi.org/10.1016/0167-9236(94)90063-9 . .

S.M. Chen . . Bidirectional approximate reasoning based on interval-valued fuzzy sets . . Fuzzy Sets Sys , , 1997 . . 91 ( ( 3 ): ): 339 - - 353 . . DOI: 10.1016/S0165-0114(97)86594-3 http://doi.org/10.1016/S0165-0114(97)86594-3 . .

C. Cornelis , , , R. Jensen . . Attribute selection with fuzzy decision reducts . . Inform. Sci , , 2009 . . 180 ( ( 2 ): ): 209 - - 224 . . DOI: 10.1016/j.ins.2009.09.008 http://doi.org/10.1016/j.ins.2009.09.008 . .

C. Cornelis , , , M.D. Cock , , , E.E. Kerre . . Intuitionistic fuzzy rough sets: at the crossroads of imperfect knowledge . . Expert Syst , , 2003 . . 20 ( ( 5 ): ): 260 - - 270 . . DOI: 10.1111/1468-0394.00250 http://doi.org/10.1111/1468-0394.00250 . .

C. Cornelis , , , G. Deschrijver , , , E.E. Kerre . . Implication in intuitionistic fuzzy and interval-valued fuzzy set theory: construction, classification, application . . Int. J. Approx. Reas , , 2004 . . 35 ( ( 1 ): ): 55 - - 95 . . DOI: 10.1016/S0888-613X(03)00072-0 http://doi.org/10.1016/S0888-613X(03)00072-0 . .

G. Deschrijver , , , E.E. Kerre . . On the relationship between some extensions of fuzzy set theory . . Fuzzy Sets Syst , , 2003 . . 133 ( ( 2 ): ): 227 - - 235 . . DOI: 10.1016/S0165-0114(02)00127-6 http://doi.org/10.1016/S0165-0114(02)00127-6 . .

D. Dubois , , , H. Prade . . Rough sets and fuzzy rough sets . . Int. J. Gener. Syst , , 1990 . . 17 ( ( 2-3 ): ): 191 - - 209 . . DOI: 10.1080/03081079008935107 http://doi.org/10.1080/03081079008935107 . .

F. Fan , , , J.Z. Li , , , Z.A. Gao . . Design of self-adaptive PID controller based on GA-vague sets . . Comput. Eng. Appl , , 2008 . . 44 ( ( 29 ): ): 99 - - 101 . . DOI: 10.3778/j.issn.1002-8331.2008.29.027 http://doi.org/10.3778/j.issn.1002-8331.2008.29.027 . .

L. Feng , , , G.Y. Wang . . Knowledge acquisition in vague objective information systems based on rough sets . . Expert Syst , , 2010 . . 27 ( ( 2 ): ): 129 - - 142 . . DOI: 10.1111/j.1468-0394.2010.00512.x http://doi.org/10.1111/j.1468-0394.2010.00512.x . .

Z.Q. Feng , , , C.G. Liu . . On vague logics and approximate reasoning based on vague linear transformation . . Int. J. Syst. Sci , , 2012 . . 43 ( ( 9 ): ): 1591 - - 1602 . . DOI: 10.1080/00207721.2010.549579 http://doi.org/10.1080/00207721.2010.549579 . .

W.L. Gau , , , D.J. Buehrer . . Vague sets. IEEE Trans . . Syst. Man Cybern , , 1993 . . 23 ( ( 2 ): ): 610 - - 614 . . DOI: 10.1109/21.229476 http://doi.org/10.1109/21.229476 . .

Z.T. Gong , , , B.Z. Sun , , , D.G. Chen . . Rough set theory for the interval-valued fuzzy information systems . . Inform. Sci , , 2007 . . 178 ( ( 8 ): ): 1968 - - 1985 . . DOI: 10.1016/j.ins.2007.12.005 http://doi.org/10.1016/j.ins.2007.12.005 . .

M.B. Gorzalczany . . A method of inference in approximate reasoning based on interval-valued fuzzy sets . . Fuzzy Sets Syst , , 1987 . . 21 ( ( 1 ): ): 1 - - 17 . . DOI: 10.1016/0165-0114(87)90148-5 http://doi.org/10.1016/0165-0114(87)90148-5 . .

Y.Y. Guan , , , H.K. Wang . . Set-valued information systems . . Inform. Sci , , 2005 . . 176 ( ( 17 ): ): 2507 - - 2525 . . DOI: 10.1016/j.ins.2005.12.007 http://doi.org/10.1016/j.ins.2005.12.007 . .

X. Hai , , , Y.J. Lei . . Intuitionistic fuzzy approximate reasoning based on weighted similarity measure . . Comput. Eng. Des , , 2010 . . 31 ( ( 21 ): ): 4678 - - 4681 . . . .

R. Jensen , , , Q. Shen . . New approaches to fuzzy-rough feature selection . . IEEE Trans. Fuzzy Syst , , 2009 . . 17 ( ( 4 ): ): 824 - - 838 . . DOI: 10.1109/TFUZZ.2008.924209 http://doi.org/10.1109/TFUZZ.2008.924209 . .

L.I. Kuncheva . . Fuzzy rough sets: application to feature selection . . Fuzzy Sets Syst , , 1992 . . 51 ( ( 2 ): ): 147 - - 153 . . DOI: 10.1016/0165-0114(92)90187-9 http://doi.org/10.1016/0165-0114(92)90187-9 . .

J.R. Liang . . The research of vague-rough sets based on triangle model . . Comput. Sci , , 2007 . . 34 ( ( 10 ): ): 185 - - 187 . . DOI: 10.3969/j.issn.1002-137X.2007.10.047 http://doi.org/10.3969/j.issn.1002-137X.2007.10.047 . .

X.Y. Ou , , , F.J. Zhang , , , Y.B. Wei . . Vague set fuzzy reasoning mechanism based on the temperature control system design . . J. Qiongzhou Univ , , 2009 . . 16 ( ( 5 ): ): 29 - - 31 . . DOI: 10.3969/j.issn.1008-6722.2009.05.010 http://doi.org/10.3969/j.issn.1008-6722.2009.05.010 . .

Z. Pawlak . . Rough sets. Int . . J. Comput. Inform. Sci , , 1980 . . 11 ( ( 5 ): ): 341 - - 356 . . DOI: 10.1007/BF01001956 http://doi.org/10.1007/BF01001956 . .

W.G. Qiu . . Rough vague sets based on general binary relation . . Comput. Sci , , 2006 . . 33 ( ( 2 ): ): 191 - - 192 . . DOI: 10.3969/j.issn.1002-137X.2006.02.054 http://doi.org/10.3969/j.issn.1002-137X.2006.02.054 . .

S. Raha . . Similarity based approximate reasoning: fuzzy control . . J. Appl. Logic , , 2008 . . 6 ( ( 1 ): ): 47 - - 71 . . DOI: 10.1016/j.jal.2007.01.001 http://doi.org/10.1016/j.jal.2007.01.001 . .

Q. Shen , , , A. Chouchoulas . . A modular approach to generating fuzzy rules with reduced attributes for the monitoring of complex systems . . Eng. Appl. Artif. Intell , , 2000 . . 13 ( ( 3 ): ): 263 - - 278 . . DOI: 10.1016/S0952-1976(00)00010-5 http://doi.org/10.1016/S0952-1976(00)00010-5 . .

I.B. Turksen . . Interval valued fuzzy sets based on normal forms . . Fuzzy Sets Syst , , 1986 . . 20 ( ( 2 ): ): 191 - - 210 . . DOI: 10.1016/0165-0114(86)90077-1 http://doi.org/10.1016/0165-0114(86)90077-1 . .

I.B. Turksen , , , Z. Zhao . . An approximate analogical reasoning based on similarity measures . . IEEE Trans. Syst. Man Cybern , , 1988 . . 18 ( ( 6 ): ): 1049 - - 1056 . . DOI: 10.1109/21.23107 http://doi.org/10.1109/21.23107 . .

S.P. Wan . . Survey on intuitionistic fuzzy multi-attribute decision making approach . . Contr. & Dec , , 2010 . . 25 ( ( 11 ): ): 1061 - - 1066 . . . .

D.G. Wang , , , Y.P. Meng , , , H.X. Li . . A fuzzy similarity inference method for fuzzy reasoning . . Comput. Math. Appl , , 2008 . . 56 ( ( 10 ): ): 2445 - - 2454 . . DOI: 10.1016/j.camwa.2008.03.054 http://doi.org/10.1016/j.camwa.2008.03.054 . .

H.C. Yang , , , H. Chen . . Intuitionistic fuzzy approximate reasoning based on intuitionistic fuzzy operation . . Appl. Res. Comput , , 2011 . . 28 ( ( 1 ): ): 102 - - 104 . . DOI: 10.3969/j.issn.1001-3695.2011.01.027 http://doi.org/10.3969/j.issn.1001-3695.2011.01.027 . .

L.J. Yang , , , Y.L. Wang . . A new similarity measure and its application to pattern recognition . . J. Yunnan Univ. Natl , , 2010 . . 19 ( ( 1 ): ): 71 - - 73 . . DOI: 10.3969/j.issn.1672-8513.2010.01.018 http://doi.org/10.3969/j.issn.1672-8513.2010.01.018 . .

D.S. Yeung . . A comparative study on similarity-based fuzzy reasoning methods . . IEEE Trans. Syst. Man Cybern. B , , 1997 . . 27 ( ( 2 ): ): 216 - - 227 . . DOI: 10.1109/3477.558802 http://doi.org/10.1109/3477.558802 . .

L.A. Zadeh . . Fuzzy sets . . Inform. Contr , , 1965 . . 8 ( ( 3 ): ): 338 - - 353 . . DOI: 10.1016/S0019-9958(65)90241-X http://doi.org/10.1016/S0019-9958(65)90241-X . .

Q.S. Zhang , , , S.Y. Jiang . . System decision making method based on vague bidirectional approximate reasoning . . Comput. Sci , , 2010 . . 37 ( ( 4 ): ): 219 - - 223 . . DOI: 10.3969/j.issn.1002-137X.2010.04.055 http://doi.org/10.3969/j.issn.1002-137X.2010.04.055 . .

C.H. Zheng , , , T.F. Li , , , J.Z. Gui . . Study on aeroengine fault diagnosis based on similarity measures between vague sets . . Aeronaut. Comput. Techn , , 2008 . . 38 ( ( 2 ): ): 34 - - 36 . . DOI: 10.3969/j.issn.1671-654X.2008.02.009 http://doi.org/10.3969/j.issn.1671-654X.2008.02.009 . .

浏览量

Downloads

CSCD

文章被引用时，请邮件提醒。

Submit

工具集

关联资源

暂无数据