Abstract
Applications, as, for example, decision support systems, need to combine information. The functions that permit to combine a set of numerical values into their single representative are called aggregation operators. They go from simple and well-known functions, as the arithmetic mean, to more sophisticated and complex, as fuzzy integrals. In the context of decision engineering and other applications, aggregators are used to develop methods and software tools that can be efficiently used in specific real life problem solving. In this context, when a new aggregator-based application is in development, we face the problem of deciding which aggregation functions and which parameters we are going to use. We review some results related to selecting engineering aggregation functions for real-world applications. We review ten necessary properties and discuss problems of parameter-directedness. Parameter-directedness is the request for explicit visibility and easy adjustability of all aggregator design and performance parameters. An example is the andness/orness-directedness.
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This work was partially supported by the Wallenberg AI, Autonomous Systems and Software Program (WASP) funded by the Knut and Alice Wallenberg Foundation.
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Dujmović, J., Torra, V. (2022). Aggregation Functions in Decision Engineering: Ten Necessary Properties and Parameter-Directedness. In: Kahraman, C., Cebi, S., Cevik Onar, S., Oztaysi, B., Tolga, A.C., Sari, I.U. (eds) Intelligent and Fuzzy Techniques for Emerging Conditions and Digital Transformation. INFUS 2021. Lecture Notes in Networks and Systems, vol 307. Springer, Cham. https://doi.org/10.1007/978-3-030-85626-7_21
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