Abstract
Based on the paper [1,2,3,4,5,6,7,8,9,10,11], this paper studied matrix representation of six basic transformations in error logic and their application in eliminating or avoiding errors, including the following: Similar conjunctions corresponds to \( T_{x}^{ - 1} \) (reverse similarity); The replacement conjunction corresponds to \( T_{z}^{ - 1} \) (inverse permutation); The addition of the conjunction corresponds to \( T_{zn}^{ - 1} \) (reducing the transforming word); The decomposed conjunction corresponds to \( T_{f}^{ - 1} \) (combination transformation words); Destroyed conjunction corresponds to \( T_{h}^{ - 1} \) (produce a transformative word); Unit conversion Conjunction word system Td (unit); corresponds to \( T_{d}^{ - 1} \) (inverse unit conversion word); Error logical quantifier system.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Guo, K., Zhang, S.: An Introduction to Eliminating Error. South China University of Technology Press, Guangzhou (1995)
Guo, K.: Error Logic. Science Press, Beijing (2008)
Wang, C.: An Introduction to Fuzzy Mathematics. Beijing University of Technology Press, Beijing (1998)
Liu, S., Guo, K.: Exploration and application of redundancy system in decision making-relation between fuzzy error logic increase transformation word and connotative model implication word. Advances 39(4), 17–29 (2002)
Zhao, Z.: An Introduction to Mathematical Dialectical Logic. Renmin University of China Press, Beijing (1995)
Barwise, J. (ed.): Handbook of Mathematical Logic. North—Holand Publishing Company, Amsterdam (1977)
Guo, K., Xiong, H.: Research on destruction connective of fuzzy logic error things. Fuzzy Syst. Math. 20(2), 34–39 (2006)
Xiong, H., Guo, K.: Research on Decomposition conversion connectors of fuzzy logic error domain. Fuzzy Syst. Math. 20(1), 24–29 (2006)
Li, M., Guo, K.: Research on decomposition of fuzzy error set. Advances 43(26), 15–26 (2006)
Liu, H.B., Guo, K.Z.: One-element fuzzy error-matrix. Modelling 27(2), 33–42 (2006)
Guo, K.: Error System, p. 3. Science Press, Beijing (2012)
Acknowledgments
This project is supported by Postdoctoral Science Foundation(Grant No. 2015M572315), the Central University Basic Scientific Research Foundation (Grant No. 2015ZM141) and the Natural Science Foundation of Guangdong Province, China (Grant No. 2016A030313454).
Referrer: Kai-zhong Guo, Professor, School of Management, GuangDong University of Technology, GuangZhou, 510075, China.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this paper
Cite this paper
Qiwei, G., Liting, Z., Juan, D. (2018). The Matrix Representation of Fuzzy Error Logic Conjunction and Applied Research. In: Cao, BY. (eds) Fuzzy Information and Engineering and Decision. IWDS 2016. Advances in Intelligent Systems and Computing, vol 646. Springer, Cham. https://doi.org/10.1007/978-3-319-66514-6_31
Download citation
DOI: https://doi.org/10.1007/978-3-319-66514-6_31
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-66513-9
Online ISBN: 978-3-319-66514-6
eBook Packages: EngineeringEngineering (R0)