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Distributivity of a Uni-nullnorm with Continuous and Archimedean Underlying T-norms and T-conorms Over an Arbitrary Uninorm

  • Dragan Jočić EMAIL logo and Ivana Štajner-Papuga
Published/Copyright: December 18, 2023
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ABSTRACT

The issue of distributivity of aggregation operators is crucial for many different areas such as fuzzy sets and fuzzy logic, pseudo-analysis and measure theory, and particulary in the decision making theory. The problem of distributivity of an operator form a special class of uni-nullnorms over a general uninorm is being addressed through this paper. The class in question consists of uni-nullnorms with continuous and Archimedean underlying t-norms and t-conorms, and the results presented here are a natural continuation and extension of some previous works with an emphasis on a much wider class of uninorms as inner operators.

2020 Mathematics Subject Classification: Primary 39B22; 03B52

(Communicated by Anatolij Dvurečenskij)


The authors gratefully acknowledge the financial support of the Ministry of Science, Technological Development and Innovation of the Republic of Serbia (Grant No. 451-03-47/2023-01/200125)

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Received: 2022-09-28
Accepted: 2023-01-24
Published Online: 2023-12-18

© 2023 Mathematical Institute Slovak Academy of Sciences

Downloaded on 15.12.2025 from https://www.degruyterbrill.com/document/doi/10.1515/ms-2023-0110/pdf
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