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Three-value cutting tensors of intuitionistic fuzzy tensors

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Abstract

In this paper, we first introduce the definition of three-value cutting tensors of intuitionistic fuzzy tensors. Secondly, we discuss some fundamental properties by the definition of the three-value cutting tensors and relationships between elements and discuss the application of three-value cutting tensors in evaluating engineering projects. Finally, we investigate decomposition of intuitionistic fuzzy tensors by three-value cutting tensors under max–min compositional operations. Our numerical examples show the feasibility of the presented decomposition methods.

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Acknowledgements

The work was supported by the Doctor Foundation of Shandong Jianzhu University(X19046Z) and Taishan Scholar Project of Shandong Province (TSQN201812092) and National Natural Science Foundation of China (Grant No.11671105).

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Authors and Affiliations

  1. School of Science, Shandong Jianzhu University, Jinan, 250101, Shandong, People’s Republic of China

    Ling Chen

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  1. Ling Chen
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Correspondence to Ling Chen.

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Communicated by V. Loia.

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Chen, L. Three-value cutting tensors of intuitionistic fuzzy tensors. Soft Comput 24, 18953–18958 (2020). https://doi.org/10.1007/s00500-020-05125-x

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