Soft Computing

, Volume 23, Issue 1, pp 85–99 | Cite as

Fuzzy multi-granulation decision-theoretic rough sets based on fuzzy preference relation

  • Prasenjit MandalEmail author
  • A. S. Ranadive
Methodologies and Application


Preference analysis is a class of important issues in multi-criteria decision making. The rough set theory is a powerful approach to handle preference analysis. In order to solve the multi-criteria preference analysis, this work improves the fuzzy multi-granulation decision-theoretic rough set model with additive consistent fuzzy preference relation, and it is used to analyze data from different sources, i.e., multi-source (fuzzy) information system. More specifically, we introduce the models of optimistic and pessimistic fuzzy preference relation multi-granulation decision-theoretic rough sets. Then, their principal structure, basic properties and several kinds of uncertainty measure methods are investigated as well. An example is employed to illustrate the effectiveness of the proposed models, and comparisons are also offered according to different measures of our models and existing models.


Decision-theoretic rough set Fuzzy preference relation Multi-granulation Granular computing 



The authors would like to thank the Associate Editor and reviewers for their thoughtful comments and valuable suggestions.

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

Ethical approval

This article does not contain any study performed on humans or animals by the authors.

Informed consent

Informed consent was obtained from all individual participants included in the study.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Bhalukdungri Jr. High SchoolRaigara, PuruliaIndia
  2. 2.Department of Pure and Applied MathematicsGuru Ghasidas UniversityBilaspurIndia

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