Ordered Weighted Averaging (OWA), Decision Making under Uncertainty, and Deep Learning: How Is This All Related?
Among many research areas to which Ron Yager contributed are decision making under uncertainty (in particular, under interval and fuzzy uncertainty) and aggregation—where he proposed, analyzed, and utilized ordered weighted averaging (OWA). The OWA algorithm itself provides only a specific type of d...
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MDPI AG
2022-02-01
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| Series: | Information |
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| Online Access: | https://www.mdpi.com/2078-2489/13/2/82 |
| _version_ | 1797479244507381760 |
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| author | Vladik Kreinovich |
| author_facet | Vladik Kreinovich |
| author_sort | Vladik Kreinovich |
| collection | DOAJ |
| description | Among many research areas to which Ron Yager contributed are decision making under uncertainty (in particular, under interval and fuzzy uncertainty) and aggregation—where he proposed, analyzed, and utilized ordered weighted averaging (OWA). The OWA algorithm itself provides only a specific type of data aggregation. However, it turns out that if we allow several OWA stages, one after another, we obtain a scheme with a universal approximation property—moreover, a scheme which is perfectly equivalent to modern ReLU-based deep neural networks. In this sense, Ron Yager can be viewed as a (grand)father of ReLU-based deep learning. We also recall that the existing schemes for decision making under uncertainty are also naturally interpretable in OWA terms. |
| first_indexed | 2024-03-09T21:43:03Z |
| format | Article |
| id | doaj.art-5f014ef4a1de4ded9091d46b10c4f36e |
| institution | Directory Open Access Journal |
| issn | 2078-2489 |
| language | English |
| last_indexed | 2024-03-09T21:43:03Z |
| publishDate | 2022-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Information |
| spelling | doaj.art-5f014ef4a1de4ded9091d46b10c4f36e2023-11-23T20:25:33ZengMDPI AGInformation2078-24892022-02-011328210.3390/info13020082Ordered Weighted Averaging (OWA), Decision Making under Uncertainty, and Deep Learning: How Is This All Related?Vladik Kreinovich0Department of Computer Science, University of Texas at El Paso, El Paso, TX 79968, USAAmong many research areas to which Ron Yager contributed are decision making under uncertainty (in particular, under interval and fuzzy uncertainty) and aggregation—where he proposed, analyzed, and utilized ordered weighted averaging (OWA). The OWA algorithm itself provides only a specific type of data aggregation. However, it turns out that if we allow several OWA stages, one after another, we obtain a scheme with a universal approximation property—moreover, a scheme which is perfectly equivalent to modern ReLU-based deep neural networks. In this sense, Ron Yager can be viewed as a (grand)father of ReLU-based deep learning. We also recall that the existing schemes for decision making under uncertainty are also naturally interpretable in OWA terms.https://www.mdpi.com/2078-2489/13/2/82ordered weighted averaging (OWA)decision making under uncertaintydeep learning |
| spellingShingle | Vladik Kreinovich Ordered Weighted Averaging (OWA), Decision Making under Uncertainty, and Deep Learning: How Is This All Related? Information ordered weighted averaging (OWA) decision making under uncertainty deep learning |
| title | Ordered Weighted Averaging (OWA), Decision Making under Uncertainty, and Deep Learning: How Is This All Related? |
| title_full | Ordered Weighted Averaging (OWA), Decision Making under Uncertainty, and Deep Learning: How Is This All Related? |
| title_fullStr | Ordered Weighted Averaging (OWA), Decision Making under Uncertainty, and Deep Learning: How Is This All Related? |
| title_full_unstemmed | Ordered Weighted Averaging (OWA), Decision Making under Uncertainty, and Deep Learning: How Is This All Related? |
| title_short | Ordered Weighted Averaging (OWA), Decision Making under Uncertainty, and Deep Learning: How Is This All Related? |
| title_sort | ordered weighted averaging owa decision making under uncertainty and deep learning how is this all related |
| topic | ordered weighted averaging (OWA) decision making under uncertainty deep learning |
| url | https://www.mdpi.com/2078-2489/13/2/82 |
| work_keys_str_mv | AT vladikkreinovich orderedweightedaveragingowadecisionmakingunderuncertaintyanddeeplearninghowisthisallrelated |