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Modeling Method for Function Trees Guided by the Symmetric Quintuple Implicational Controller

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Computer Supported Cooperative Work and Social Computing (ChineseCSCW 2021)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1491))

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Abstract

In product conceptual design, and/or/not function tree is a very common functional model, but the modeling of functional tree is often a tough problem in this field. Previous modeling was done manually by domain experts, which can be difficult for larger function trees. For this reason, the symmetric quintuple implicational method is introduced, and then the symmetric quintuple implicational controller is proposed, and the function tree modeling method guided by the symmetric quintuple implicational controller is put forward. Firstly, the theoretical structure of fuzzy and/or/not function tree is described, and the symmetric quintuple implicational method is reviewed. Secondly, a symmetric quintuple implicational controller is proposed from the point of view of rule base, fuzzier, inference machine, fuzzier and numerical determination. Thirdly, based on the requirement of functional tree modeling, a new fuzzy and/or/not function tree establishing method has been put forward by using the symmetric quintuple implicational controller as the core. Finally, the whole process of functional tree modeling is demonstrated through an application example, and the validity of the scheme is verified. It provides a new breakthrough direction for solving the problem of fuzzy and/or/not function tree modeling, and promotes the progress of product collaborative conceptual design, fuzzy control and related fields.

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Acknowledgement

This work received support by the National Key Research & Development Program of China (No. 2020YFC1523100) and the National Natural Science Foundation of China (Nos. 62176083, 61673156, 61877016, 61976078), the Fundamental Research Funds for the Central Universities of China (No. PA2021GDSK0092), the Natural Science Foundation of Anhui Province (Nos.1408085MKL15, 1508085QF129).

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Correspondence to Yiming Tang .

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Tang, Y., Han, X., Wu, X., Zhang, L. (2022). Modeling Method for Function Trees Guided by the Symmetric Quintuple Implicational Controller. In: Sun, Y., et al. Computer Supported Cooperative Work and Social Computing. ChineseCSCW 2021. Communications in Computer and Information Science, vol 1491. Springer, Singapore. https://doi.org/10.1007/978-981-19-4546-5_5

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  • DOI: https://doi.org/10.1007/978-981-19-4546-5_5

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-19-4545-8

  • Online ISBN: 978-981-19-4546-5

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