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Generalized Convex Combinations of T-Norms on Bounded Lattices

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Artificial Intelligence Logic and Applications (AILA 2022)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1657))

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Abstract

In this work, we first extend the concept of (\(\alpha \), \(T_0\))-migrative property of binary operations, study some analytical properties of them and then obtain new t-norms on bounded lattices in terms of generalized convex combinations of \(T_W\) and t-norms. Conditions for the generalized convex combinations to be t-norms again are investigated.

Supported by Shandong University.

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Acknowledgment

This work was supported by the National Natural Science Foundation of China (Nos. 12071259 and 11531009) and the National Key R &D Program of China (No. 2018YFA0703900).

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Authors and Affiliations

  1. School of Mathematics, Shandong University, Jinan, 250100, People’s Republic of China

    Yi-Qun Zhang & Hua-Wen Liu

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  1. Yi-Qun Zhang
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  2. Hua-Wen Liu
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Correspondence to Hua-Wen Liu .

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Editors and Affiliations

  1. East China Normal University, Shanghai, China

    Yixiang Chen

  2. Chinese Academy of Sciences, Beijing, China

    Songmao Zhang

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Zhang, YQ., Liu, HW. (2022). Generalized Convex Combinations of T-Norms on Bounded Lattices. In: Chen, Y., Zhang, S. (eds) Artificial Intelligence Logic and Applications. AILA 2022. Communications in Computer and Information Science, vol 1657. Springer, Singapore. https://doi.org/10.1007/978-981-19-7510-3_11

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  • DOI: https://doi.org/10.1007/978-981-19-7510-3_11

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-19-7509-7

  • Online ISBN: 978-981-19-7510-3

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