Abstract
This paper presents a generalization of the extension principle for fuzzy numbers. The minimum is substituted by a general binary aggregation function. It is used to extend the usual metric for real numbers to fuzzy numbers, generating a new family of fuzzy-valued distances between fuzzy numbers. Then, some conditions on these aggregation functions are studied to hold the fuzzy number properties of the generated distances.
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The authors are also grateful to the reviewers for their valuable comments. This work was supported by the Brazilian Coordination for the Improvement of Higher Education Personnel (CAPES).
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Araújo, J., Bedregal, B., Santiago, R. (2022). Fuzzy-Valued Distance Between Fuzzy Numbers Based on a Generalized Extension Principle. In: Ciucci, D., et al. Information Processing and Management of Uncertainty in Knowledge-Based Systems. IPMU 2022. Communications in Computer and Information Science, vol 1601. Springer, Cham. https://doi.org/10.1007/978-3-031-08971-8_38
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DOI: https://doi.org/10.1007/978-3-031-08971-8_38
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