Abstract
When the theory of fuzzy sets arose as a new mathematical concept in the field of information processing some 50 years ago, it rapidly advanced to becoming a well-established scientific discipline and a challenging object of both theoretical research and practical application. Since its introduction by Lotfi A. Zadeh [21], enormous progress has been made and numerous subdomains of fuzzy set theory have emerged, such as fuzzy logic and approximate reasoning, fuzzy pattern recognition and fuzzy modeling, expert systems and fuzzy control – and fuzzy arithmetic. Compared to most other fields, the topic of fuzzy arithmetic has received only little attention in the early years, and the scope of its practical application has barely exceeded the level of elementary academic examples. The reasons for this may be seen in the absence of a well-organized, systematic and consistent elaboration of the theory of fuzzy arithmetic, the lack of practical approaches to its effective implementation, and the apparent underestimation of its potential for the solution of real-world problems.
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Hanss, M. (2013). Fuzzy Arithmetic for Uncertainty Analysis. In: Seising, R., Trillas, E., Moraga, C., Termini, S. (eds) On Fuzziness. Studies in Fuzziness and Soft Computing, vol 298. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35641-4_36
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DOI: https://doi.org/10.1007/978-3-642-35641-4_36
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