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Dominance-Based Rough Set Approach for Decision Analysis - A Tutorial

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5009))

Abstract

Scientific analysis of decision problems aims at giving the decision maker (DM) a recommendation concerning a set of objects (called also alternatives, solutions, acts, actions, cases, candidates) evaluated wiht respect to a plurality of their characteristics considered relevant for the problem at hand, and called attributes. For example, a decision can regard:

  1. 1

    diagnosis of pathologies for a set of patients, being the objects of the decision, and the attributes are symptoms and results of medical examinations,

  2. 1

    assignment to classes of risk for a set of firms, being the objects of the decision, and the attributes are ratio indices and other economic indicators such as the market structure, the technology used by the enterprises, the quality of the management and so on,

  3. 1

    selection of a car to be bought from a given set of cars, being the objects of the decision, and the attributes are maximum speed, acceleration, price, fuel consumption and so on,

  4. 1

    ordering of students applying for a scholarship, being the objects of the decision, and the attributes are scores in different disciplines.

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References

  1. Greco, S., Matarazzo, B., Słowiński, R.: Rough set theory for multicriteria decision analysis. European Journal of Operational Research 129, 1–47 (2001)

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  2. Greco, S., Matarazzo, B., Słowiński, R.: Rough sets methodology for sorting problems in presence of multiple attributes and criteria. European Journal of Operational Research 138, 247–259 (2002)

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  3. Greco, S., Matarazzo, B., Słowiński, R.: Decision rule approach. In: Figueira, J., Greco, S., Erghott, M. (eds.) Multiple Criteria Decision Analysis: State of the Art Surveys, pp. 507–563. Springer, Berlin (2005)

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  4. Greco, S., Matarazzo, B., Słowiński, R.: Dominance-based Rough Set approach as a Proper Way of Handling Graduality in Rough Set Theory. In: Peters, J.F., Skowron, A., Marek, V.W., Orłowska, E., Słowiński, R., Ziarko, W. (eds.) Transactions on Rough Sets VII. LNCS, vol. 4400, pp. 36–52. Springer, Heidelberg (2007)

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  5. Pawlak, Z.: Rough Sets. Kluwer, Dordrecht (1991)

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Guoyin Wang Tianrui Li Jerzy W. Grzymala-Busse Duoqian Miao Andrzej Skowron Yiyu Yao

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© 2008 Springer-Verlag Berlin Heidelberg

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Greco, S. (2008). Dominance-Based Rough Set Approach for Decision Analysis - A Tutorial. In: Wang, G., Li, T., Grzymala-Busse, J.W., Miao, D., Skowron, A., Yao, Y. (eds) Rough Sets and Knowledge Technology. RSKT 2008. Lecture Notes in Computer Science(), vol 5009. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79721-0_6

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  • DOI: https://doi.org/10.1007/978-3-540-79721-0_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-79720-3

  • Online ISBN: 978-3-540-79721-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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