Abstract
Often, evaluative knowledge about the object area is formulated not only as an objective (statistical) probability but also as a subjective (expert) probability. Expert evaluations may be incomplete or inconsistent with each other. A tool is needed to check the consistency of expertise.
The paper proposes a theoretical-modal formalization of subjective and objective interpretations of probability. This allows us to formulate the criteria for the correctness of the evaluative knowledge received from the experts. The article describes an algorithm for checking the correctness of evaluative knowledge, as well as an algorithm for correcting some incorrectness.
The research was funded by RFBR and Novosibirsk region, project No. 20-47-540005.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
References
Sokolov, I.A.: Theory and practice of application of artificial intelligence methods. Her. Russ. Acad. Sci. 89(2), 115–119 (2019). https://doi.org/10.1134/S1019331619020205
Naydanov, C., Palchunov, D., Sazonova, P.: Development of automated methods for the critical condition risk prevention, based on the analysis of the knowledge obtained from patient medical records. In: Proceedings International Conference on Biomedical Engineering and Computational Technologies, SIBIRCON 2015 (2015)
Palchunov, D., Yakgyaeva, G.: Representation of Knowledge Using Different Structures of Concepts. CEUR Workshop Proceedings, p. 2729 (2020)
Kuznetsov, S.O., Poelmans, J.: Knowledge representation and processing with formal concept analysis. Wiley Interdisc. Rev.: Data Mining Knowl. Discov. 3(3) (2013). https://doi.org/10.1002/widm.1088
Kaytoue, M., Codocedo, V., Buzmakov, A., Baixeries, J., Kuznetsov, S.O., Napoli, A.: Pattern structures and concept lattices for data mining and knowledge processing. In: Bifet, A., et al. (eds.) ECML PKDD 2015. LNCS (LNAI), vol. 9286, pp. 227–231. Springer, Cham (2015). https://doi.org/10.1007/978-3-319-23461-8_19
Kuznetsov, S.O., Makhalova, T.: On interestingness measures of formal concepts. Inf. Sci. 442–443, 202–219 (2018)
Palchunov, D., Yakhyaeva, G.: Application of Boolean-valued models and FCA for the development of ontological model. CEUR Workshop Proceedings, pp. 1921 (2017)
Palchunov, D.E., Yakhyaeva G.E.: Integration of Fuzzy Model Theory and FCA for Big Data Mining. In: SIBIRCON 2019 - International Multi-Conference on Engineering, Computer and Information Sciences, Proceedings. Novosibirsk, Russia, pp. 0961–0966 (2019)
Palchunov, D.E., Tishkovsky, D.E., Tishkovskaya, S.V., Yakhyaeva G.E.: Combining logical and statistical rule reasoning and verification for medical applications. In: Proceedings - 2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017, 18–22 September 2017, Novosibirsk, Russia (2017)
Rocchi, P.: Interpretations of Probability. In: Janus-Faced Probability, pp. 3–8. Springer, Cham (2014). https://doi.org/10.1007/978-3-319-04861-1_1
Carnap, R.: Philosophical Foundations of Physics. Basic Books, New York (1966)
Yakhyaeva, G.E.: Application of Boolean Valued and Fuzzy Model Theory for Knowledge Base Development. In: SIBIRCON 2019 - International Multi-Conference on Engineering, Computer and Information Sciences, Proceedings, pp. 0868–0871 (2019)
Palchunov, D., Yakhyaeva, G.: Fuzzy logics and fuzzy model theory. Algebra Logic 54(1), 74–80 (2015)
Yakhyaeva, G.: Fuzzy model truth values. In: Proceedings of the 6-th International Conference Aplimat, February 6–9, Bratislava, Slovak Republic, pp. 423–431 (2007)
Yakhyaeva, G.: Logic of fuzzifications. In: Proceedings of the 4th Indian International Conference on Artificial Intelligence, IICAI 2009, pp. 222–239 (2009)
Beliakov, G., James, S., Wu, J.-Z.: Discrete Fuzzy Measures: Computational Aspects. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-15305-2
Dulesov, A.S., Semenova, M.Yu.: Subjective probability in determining the measure of uncertainty of the state of an object. Fundamental research, No.3 (2012). (in Russian)
Kobrinsky, B.A.: Approaches to displaying subjectively fuzzy representations of an expert and a user in intelligent systems. Software products and systems. No.4 (1997). (in Russian)
Kobrinsky, B.A.: Fuzzy and confidence factors of verbal and visual expert knowledge. Fuzzy systems, soft computing and intelligent technologies. In: Proceedings of the VII All-Russian Scientific and Practical Conference (St. Petersburg, July 3–7, 2017) (2017). (in Russian)
Palchunov, D.E., Yakhyaeva, G.E.: Fuzzy algebraic systems. Vestnik NSU. Ser.: Math. Mech. Inf. 10(3), 75–92 (2010). (in Russian)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 Springer Nature Switzerland AG
About this paper
Cite this paper
Yakhyaeva, G., Skokova, V. (2021). Subjective Expert Evaluations in the Model-Theoretic Representation of Object Domain Knowledge. In: Kovalev, S.M., Kuznetsov, S.O., Panov, A.I. (eds) Artificial Intelligence. RCAI 2021. Lecture Notes in Computer Science(), vol 12948. Springer, Cham. https://doi.org/10.1007/978-3-030-86855-0_11
Download citation
DOI: https://doi.org/10.1007/978-3-030-86855-0_11
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-86854-3
Online ISBN: 978-3-030-86855-0
eBook Packages: Computer ScienceComputer Science (R0)