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Aggregation Operators pp 195–223Cite as

Aggregation Operators in Engineering Design

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Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 97))

Abstract

Engineering design is conducted with incomplete and imperfect information, and in this paper there are presented some of the tools for decision making under risk and uncertainty and the application of these tools to engineering design. First it is presented an axiomatization of engineering design based on von Neumannn and Morgenstern axiomatization. Then it is given a general definition of decision making problem which enables to apply also fuzzy systems and non-additive measures. Special attention is taken on different aggregation operators which can model the decision making in engineering design. A procedure for finding the global maximum as well as some procedures for identification of non-additive measure are presented.

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  1. Institute of Mathematics, University of Novi Sad, 21000, Novi Sad, Yugoslavia

    Endre Pap

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  1. Department of Mathematics and Computer Science, University of the Balearic Islands, 07071, Palma de Mallorca, Spain

    Tomasa Calvo  & Gaspar Mayor  & 

  2. Department of Computer Science, University of Alcalá, 28871, Alcalá de Henares, Spain

    Tomasa Calvo

  3. Faculty of Civil Engineering, Slovak Technical University, Radlinského 11, 81368, Bratislava, Slovakia

    Radko Mesiar

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Pap, E. (2002). Aggregation Operators in Engineering Design. In: Calvo, T., Mayor, G., Mesiar, R. (eds) Aggregation Operators. Studies in Fuzziness and Soft Computing, vol 97. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1787-4_6

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