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On the Intuitionistic Fuzzy Topological Structures of Rough Intuitionistic Fuzzy Sets Read chapter Read first chapter

2014 | OriginalPaper | Chapter

Three-Way Decisions in Stochastic Decision-Theoretic Rough Sets

Authors : Dun Liu, Tianrui Li, Decui Liang

Published in: Transactions on Rough Sets XVIII

Publisher: Springer Berlin Heidelberg

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Abstract

In the previous decision-theoretic rough sets (DTRS), its loss function values are precise. This paper extends the precise values of loss functions to a more realistic stochastic environment. The stochastic loss functions are induced to decision-theoretic rough set theory based on the bayesian decision theory. A model of stochastic decision-theoretic rough set theory (SDTRS) is built with respect to the minimum bayesian expected risk. The corresponding propositions and criteria of SDTRS are also analyzed. Furthermore, we investigate two special SDTRS models under the uniform distribution and the normal distribution, respectively. Finally, an empirical study of Public-Private Partnerships (PPP) project investment validates the reasonability and effectiveness of the proposed models.

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previous chapter A Three-Way Decisions Approach to “”Density-Based Overlapping Clustering
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Metadata
Title
Three-Way Decisions in Stochastic Decision-Theoretic Rough Sets
Authors
Dun Liu
Tianrui Li
Decui Liang
Copyright Year
2014
Publisher
Springer Berlin Heidelberg
Book
Transactions on Rough Sets XVIII

Print ISBN: 978-3-662-44679-9

Electronic ISBN: 978-3-662-44680-5

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-3-662-44680-5_7

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