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Overlap function-based amongness spaces

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Abstract

Overlap functions are typical aggregation functions with rich theoretical connotations and have many applications in other theoretical branches. In this paper, we will choose an overlap function to model the conjunction to introduce two kinds of fuzzy amongnesses. Precisely, we will propose the concepts of O-fuzzifying amongnesses and (closed, stratified, perfect) pointwise amongnesses via an overlap function O. Then, we will establish the relationship between O-fuzzifying amongnesses and (closed, stratified, perfect) pointwise amongnesses. These results not only provide a theoretical application of overlap functions, but also demonstrate the relationship between different fuzzifications of amongnesses.

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Authors and Affiliations

  1. School of Applied Technology, China University of Labor Relations, Beijing, 100048, China

    Shaoyu Zhang

  2. Beijing Key Laboratory on MCAACI, School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 102488, China

    Bin Pang

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  1. Shaoyu Zhang
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  2. Bin Pang
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Correspondence to Bin Pang.

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This work is supported by the Natural Science Foundation of China (Nos. 12071033, 11701122, 12271036), Beijing Institute of Technology Science and Technology Innovation Plan Cultivation Project (No. 2021CX01030), and the Education Department Project of Heilongjiang Province (SJGZ20200174, SJGY20210894, SJGY20190678).

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Zhang, S., Pang, B. Overlap function-based amongness spaces. Comp. Appl. Math. 42, 134 (2023). https://doi.org/10.1007/s40314-023-02277-y

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  • DOI: https://doi.org/10.1007/s40314-023-02277-y

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