Abstract
From their introduction Z-numbers have been deeply studied and many investigations have appeared trying to reduce the inherent complexity in their computation. In this line, this paper presents a new vision of Z-numbers based on discrete fuzzy numbers with support in a finite chain \(L_n\). In this new approach, a Z-number associated with a variable, X, is a pair \((A,\,B)\) of discrete fuzzy numbers, where A is interpreted as a fuzzy restriction on X, while the estimation of the reliability of A is interpreted as a linguistic valuation based on the discrete fuzzy number B. In this non-probabilistic approach an aggregation method is proposed with the aim of applying it in group decision making problems.
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This paper has been partially supported by the Spanish Grant TIN2013-42795-P.
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Massanet, S., Riera, J.V., Torrens, J. (2016). A New Vision of Zadeh’s Z-numbers. In: Carvalho, J., Lesot, MJ., Kaymak, U., Vieira, S., Bouchon-Meunier, B., Yager, R. (eds) Information Processing and Management of Uncertainty in Knowledge-Based Systems. IPMU 2016. Communications in Computer and Information Science, vol 611. Springer, Cham. https://doi.org/10.1007/978-3-319-40581-0_47
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DOI: https://doi.org/10.1007/978-3-319-40581-0_47
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