Abstract
In this article we observe numerical evaluations of situations and developments. Similarities will be elaborated from structural and descriptive aspects. The basis of the structural similarity is homomorphism of algebraic systems. The bases of descriptive similarities are claims in descriptions of situations, which are expressible with formulas of calculations of the predictions. Developments will be addressed by binary precedency and sequential links. Mentioned connections will be observed as sets, elements of which are ordered pairs of situations. The procedure for numeric evaluation of similarities is based on metrics of relative difference of final sets. The numeric rating of similarity will be associated with plausibility: the more similar or close the objects are, the more plausible it is, that the acquired knowledge about one object will be valid for other similar object. The method of numeric evaluation of similarities may have interesting and beneficial implementation options for many areas.
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References
Alas, R., Gao, J., Lorents, P., Übius, Ü., Matsak, E., Carneiro, J.: Associations between ethics and cultural dimensions: similarities and differences concerning ethics in China, Brazil and Estonia. Megadigma J. 4(2), 153–162 (2011)
Tuulik, K., Alas, R., Lorents, P., Matsak, E.: Values in institutional context. Probl. Perspect. Manag. 9(2), 8–20 (2011). (SECTION 1. Macroeconomic processes and regional economies management)
Cohn, P.M.: Universal Algebra, Harper & Row. Evanstone, New York (1965)
Cohn, P.M.: Universal Algebra. Springer, London (1981)
Maltsev, A.I., Maлъцeв A.И.: Aлгeбpaичecкиe cиcтeмы. “Hayкa”. Mocквa (1970)
Mac Lane, S., Birkhoff, G.: Algebra. AMS Chelsea Publishing (1999)
Shoenfield, J.R.: Mathematical Logic. Addiso-Wesley Publishing Company, Boston (1967)
Tanimoto, T.T.: An Elementary Mathematical theory of Classification and Prediction. Internal IBM Technical Report (1957)
Tanimoto, T.T.: An elementary mathematical theory of classification and prediction, IBM Report (November, 1958). Cited in: Salton, G.: Automatic Information Organization and Retrieval, p. 238. McGraw-Hill (1968)
Marczewski, E., Steinhaus, H.: On a certain distance of sets and the corresponding distance of functions. Colloq. Math. 6(1), 319–327 (1958)
Lorents, P., Lorents, D.: Applying difference metrics of finite sets in diagnostics of systems with human participation. In: Proceedings of the International Conference on Artificial Intelligence, IC – AI’ 2002, vol. 3, pp. 1297–1301 (2002)
Lorents, P.: Denotations, knowledge and lies. In: Proceedings of the International Conference on Artificial Intelligence, 2007, Las Vegas, USA, vol. 2, pp. 324–329. CSREA Press (2007)
Jaccard, P.: Étude comparative de la distribution florale dans une portion des Alpes et des Jura. Bulletin de la Soc. Vaud. des Sci. Nat. 37, 547–579 (1901)
Lorents, P., Lorents D.: Applying difference metrics of finite sets in diagnostics of systems with human participation. In: Proceedings of the International Conference on Artificial Intelligence, IC – AI’ 2002, pp. 704–708. CSREA Press (2002)
Deza, E., Deza, M.M.: Encyclopedia of Distances. Springer, Heidelberg (2009)
Lipkus, A.H.: A proof of the triangle inequality for the Tanimoto distance. J. Math. Chem. 26, 263–265 (1999)
Lorents, P.: Mathematical aspects of lies. Theory of Lie. Schola Biotheoretica. 31th Spring School on Theoretical Biology. Eesti Loodusuurijate Selts 2005, pp. 16–40 (2005). ISBN 9985-9591-1-6
Jents, M.: Evaluation the difference of knowledge and concepts using the metrics of Lorents. In: Proceedings of the International Conference on Artificial Intelligence. IC – AI’ 2004, vol. 1, pp. 338–341 (2004)
Matsak, E., Lorents, P.: Decision-support systems for situation management and communication through the language of algebraic systems. In: 2012 IEEE International Multi-Disciplinary Conference on Cognitive Methods in Situation Awareness and Decision Support (CogSIMA 2012), CogSima 2012, pp. 301–307. IEEE Press (2012)
Matsak, E.: Dialogue system for extracting logic constructions in natural language texts. In: The 2005 International Conference on Artificial Intelligence, Las Vegas, USA (2005)
Matsak, E.: Discovering Logical Constructs from Estonian Children Language. Lambert Academic Publishing, Germany (2010)
Arnuphaptrairong, T.: Top ten lists of software project risks: evidence from the literature survey. In: International Multi Conference of Engineers and Computer Scientists, Hong Kong, pp. 1–6 (2011)
Kniberg, H.: Get Agile With Crisp. Scrum Checklist 04 October 2010. http://www.crisp.se/gratis-material-och-guider/scrum-checklist
Cohn, M.: Serena. Toward a Catalog of Scrum Smells (2003). http://www.serena.com/docs/agile/papers/Scrum-Smells.pdf
Lorents, P.: Knowledge and information. In: Proceedings of the 2010 International Conference on Artificial Intelligence. pp. 209–215. CSREA Press (2010)
Lorents, P., Matsak, E.: Applying time-dependent algebraic systems for describing situations. In: 2011 IEEE Conference on Cognitive Methods in Situation Awareness and Decision Support (CogSIMA 2011), Miami Beach, FL, 2011, (IEEE Catalog Number: CFP11COH-CDR), pp. 25–31. IEEE Press (2011)
Balzacq, T.: Securitization Theory. How Security Problems Emerge and Dissolve. Edited by Balzacq, T. Rotledge. London (2011)
Jakobson, G.: Extending situation modeling with inference of plausible future cyber situations. In: The 1st IEEE Conference on Cognitive Methods in Situation Awareness and Decision Support (CogSIMA 2011), Miami Beach, FL, USA (2011)
Levandowsky, M., Winter, D.: Distance between sets. Nature 234(5), 34–35 (1971)
Levison, M.: Scrum Community Wiki. 11, July 2008. http://scrumcommunity.pbworks.com/w/page/10149004/Scrum%20Smells
Rogers, David J., Tanimoto, Taffee T.: A computer program for classifying plants. Science 132(3434), 1115–1118 (1960). doi:10.1126/science.132.3434.1115
Jaccard, P.: Distribution de la flore alpine dans le bassin des Dranses et dans quelques régions voisines. Bulletin de la Soc. Vaud. des Sci. Nat. 37, 241–272 (1901)
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Lorents, P., Matsak, E., Kuuseok, A., Harik, D. (2018). Assessing the Similarity of Situations and Developments by Using Metrics. In: Czarnowski, I., Howlett, R., Jain, L. (eds) Intelligent Decision Technologies 2017. IDT 2017. Smart Innovation, Systems and Technologies, vol 72. Springer, Cham. https://doi.org/10.1007/978-3-319-59421-7_17
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