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Randomness and Fuzziness: Combined Better than Unified

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Enric Trillas: A Passion for Fuzzy Sets

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 322))

Abstract

Randomness and fuzziness are often referred to as different sources to cope with uncertainty. However, albeit different, they arise jointly in many real-life situations leading to some new concepts, approaches and methods which are being explored mainly along the last two decades. This paper aims to summarize some of the most remarkable divergences and meeting points between the two sources of uncertainty, and the interest of combining them from a statistical perspective.

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Acknowledgments

The authors are very grateful to the Editors of this book in tribute to Professor Enric Trillas, for they having invited us to contribute to it. This paper has been written as a tribute to our beloved and admired friend Professor Enric Trillas. He has touched us with his friendship since many years, and he has influenced a lot in our research fields of interest. Since the first time we met him, he has encouraged and supported us in many research respects, even by reading our first contributions when we initiated in the use of Fuzzy Logic to model some elements in Data Analysis. We feel deeply grateful to Trillas for: being a perfect introducer to the Fuzzy Community; what we have learned from him through his visits in the past, often along with Professor Zadeh; and the honour of having him now in Asturias, thanks to his efforts and enthusiasm in launching the European Centre for Soft Computing.

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Correspondence to María Ángeles Gil .

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Gil, M.Á., Gil, P. (2015). Randomness and Fuzziness: Combined Better than Unified. In: Magdalena, L., Verdegay, J., Esteva, F. (eds) Enric Trillas: A Passion for Fuzzy Sets. Studies in Fuzziness and Soft Computing, vol 322. Springer, Cham. https://doi.org/10.1007/978-3-319-16235-5_16

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  • DOI: https://doi.org/10.1007/978-3-319-16235-5_16

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  • Online ISBN: 978-3-319-16235-5

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