Multi-granulation fuzzy preference relation rough set for ordinal decision system

Preference analysis is a class of important issues in multi-criteria ordinal decision making. Rough set is an effective approach to handle preference analysis. In order to solve the multi-criteria preference analysis problem, this work improves the fuzzy preference relation rough set model with additive consistent fuzzy preference relation, and expands it to multi-granulation case. Cost is also an important issue in decision analysis. Taking the cost into consideration, we also expand the model to cost sensitive multi granulation fuzzy preference relation rough set. Some theorems are represented, and the classification and sample condensation algorithms based on our model are investigated. Some experiments are complete and the experimental results show that our model and algorithms are effective for preference decision making of ordinal decision system. (C) 2016 Elsevier B.V. All rights reserved.