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Abstract
Trust in data is a crucial aspect of criterion-based flexible query answering and decision making. Inspired by Zadeh’s concept Z-number, we introduce the concept of a Z-grade and focus on some elementary aspects of aggregating Z-grades. A Z-grade, z, has two components, z=(s,c). The first component, s, is a satisfaction grade that can for example be used to express to what extent a given data element satisfies a given criterion. The second component, c, is a confidence grade that expresses how confident we can be about s. For example, in case we have less trust in the data element, this could result in a lower confidence in the outcome s of the criterion evaluation. Logical processing and aggregation of satisfaction grades are important aspects of criterion handling. When applied to Z-grades, the computation of the resulting confidence grade depends on the computation of the resulting satisfaction grade. For that purpose, novel logic operators and so-called sibling aggregators for Z-grades are proposed and studied in the paper.

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MLA
De Tré, Guy, et al. “Logic Operators and Sibling Aggregators for Z-Grades.” Information Processing and Management of Uncertainty in Knowledge-Based Systems, 19th International Conference, IPMU 2022, Proceedings, Part II, edited by Davide Giucci et al., vol. 1602, Springer, 2022, pp. 572–83, doi:10.1007/978-3-031-08974-9_46.
APA
De Tré, G., Peelman, M., & Dujmović, J. (2022). Logic operators and sibling aggregators for Z-grades. In D. Giucci, I. Couso, J. Medina, D. Slezak, D. Petturiti, B. Bouchon-Meunier, & R. Yager (Eds.), Information Processing and Management of Uncertainty in Knowledge-Based Systems, 19th International Conference, IPMU 2022, Proceedings, Part II (Vol. 1602, pp. 572–583). https://doi.org/10.1007/978-3-031-08974-9_46
Chicago author-date
De Tré, Guy, Milan Peelman, and Jozo Dujmović. 2022. “Logic Operators and Sibling Aggregators for Z-Grades.” In Information Processing and Management of Uncertainty in Knowledge-Based Systems, 19th International Conference, IPMU 2022, Proceedings, Part II, edited by Davide Giucci, Ines Couso, Jesus Medina, Dominik Slezak, Davide Petturiti, Bernadette Bouchon-Meunier, and Ronald Yager, 1602:572–83. Cham: Springer. https://doi.org/10.1007/978-3-031-08974-9_46.
Chicago author-date (all authors)
De Tré, Guy, Milan Peelman, and Jozo Dujmović. 2022. “Logic Operators and Sibling Aggregators for Z-Grades.” In Information Processing and Management of Uncertainty in Knowledge-Based Systems, 19th International Conference, IPMU 2022, Proceedings, Part II, ed by. Davide Giucci, Ines Couso, Jesus Medina, Dominik Slezak, Davide Petturiti, Bernadette Bouchon-Meunier, and Ronald Yager, 1602:572–583. Cham: Springer. doi:10.1007/978-3-031-08974-9_46.
Vancouver
1.
De Tré G, Peelman M, Dujmović J. Logic operators and sibling aggregators for Z-grades. In: Giucci D, Couso I, Medina J, Slezak D, Petturiti D, Bouchon-Meunier B, et al., editors. Information Processing and Management of Uncertainty in Knowledge-Based Systems, 19th International Conference, IPMU 2022, Proceedings, Part II. Cham: Springer; 2022. p. 572–83.
IEEE
[1]
G. De Tré, M. Peelman, and J. Dujmović, “Logic operators and sibling aggregators for Z-grades,” in Information Processing and Management of Uncertainty in Knowledge-Based Systems, 19th International Conference, IPMU 2022, Proceedings, Part II, Milan, Italy, 2022, vol. 1602, pp. 572–583.
@inproceedings{8766210,
  abstract     = {{Trust in data is a crucial aspect of criterion-based flexible query answering and decision making. Inspired by Zadeh’s concept Z-number, we introduce the concept of a Z-grade and focus on some elementary aspects of aggregating Z-grades. A Z-grade, z, has two components, z=(s,c). The first component, s, is a satisfaction grade that can for example be used to express to what extent a given data element satisfies a given criterion. The second component, c, is a confidence grade that expresses how confident we can be about s. For example, in case we have less trust in the data element, this could result in a lower confidence in the outcome s of the criterion evaluation. Logical processing and aggregation of satisfaction grades are important aspects of criterion handling. When applied to Z-grades, the computation of the resulting confidence grade depends on the computation of the resulting satisfaction grade. For that purpose, novel logic operators and so-called sibling aggregators for Z-grades are proposed and studied in the paper.}},
  author       = {{De Tré, Guy and Peelman, Milan and Dujmović, Jozo}},
  booktitle    = {{Information Processing and Management of Uncertainty in Knowledge-Based Systems, 19th International Conference, IPMU 2022, Proceedings, Part II}},
  editor       = {{Giucci, Davide and Couso, Ines and Medina, Jesus and Slezak, Dominik and Petturiti, Davide and Bouchon-Meunier, Bernadette and Yager, Ronald}},
  isbn         = {{9783031089732}},
  issn         = {{1865-0929}},
  language     = {{eng}},
  location     = {{Milan, Italy}},
  pages        = {{572--583}},
  publisher    = {{Springer}},
  title        = {{Logic operators and sibling aggregators for Z-grades}},
  url          = {{http://dx.doi.org/10.1007/978-3-031-08974-9_46}},
  volume       = {{1602}},
  year         = {{2022}},
}

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