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Home 2026

Some Contribution to the Theory of Fuzzy Algebras over Fuzzy Fields under Product T-norm

Authors: Manoranjan Kumar Singh, Sanjeet Kumar, J. N. Singh, WSN 214 (2026) 186-197

2026-04-17
Reading Time: 3 mins read
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https://doi.org/10.65770/KIYN1704

ABSTRACT

It was the work of Nanda (1990) that acquainted us with the conception of fuzzy algebra over a fuzzy field and opened a new door of introspection in the area of algebra. Gu and Lu (1993) reformulated the conception of fuzzy algebras over fuzzy fields. In this manuscript, we aim to reconfigure the notion of fuzzy algebra over a fuzzy field under the product T-norm, presenting a set of characteristics and properties that illustrate its mathematical advantages over previously defined interpretations. Also, it has been demonstrated that from the notion proposed here, the idea proposed by Gu and Lu can be derived, but not conversely. In this process, several appealing results have been established.

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WSN 214 (2026) 186-197

 

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