Abstract
In real life, we often need to make a decision, i.e., we need to select one of the possible alternatives. In many practical situations, our objective is financial: we need to select an alternative that will bring us the largest financial gain. The problem is that usually, we only know the gain corresponding to each alternative with some uncertainty: instead of the exact numerical value of this gain, there is a whole set of possible values of this gain. How can we make decisions under such interval-valued uncertainty? An answer to this question is known for the case when these sets are closed. In this paper, we extend this result of the general case, when sets are not necessarily closed.
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Reference
Lorkowski, J., Kreinovich, V., Aliev, R.: Towards decision making under interval, set-valued, fuzzy, and Z-number uncertainty: a fair price approach. In: Proceedings of the IEEE World Congress on Computational Intelligence WCCI’2014, Beijing, China, 6–11 July (2014)
Acknowledgments
This work was supported in part by the National Science Foundation grants 1623190 (A Model of Change for Preparing a New Generation for Professional Practice in Computer Science), and HRD-1834620 and HRD-2034030 (CAHSI Includes). It was also supported by the program of the development of the Scientific-Educational Mathematical Center of Volga Federal District No. 075-02-2020-1478.
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Bokati, L., Kosheleva, O., Kreinovich, V. (2022). How Much for a Set: General Case of Decision Making Under Set-Valued Uncertainty. In: Rayz, J., Raskin, V., Dick, S., Kreinovich, V. (eds) Explainable AI and Other Applications of Fuzzy Techniques. NAFIPS 2021. Lecture Notes in Networks and Systems, vol 258. Springer, Cham. https://doi.org/10.1007/978-3-030-82099-2_5
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DOI: https://doi.org/10.1007/978-3-030-82099-2_5
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