Multi-granularity three-way decisions with adjustable hesitant fuzzy linguistic multigranulation decision-theoretic rough sets over two universes

2020 ◽  
Vol 507 ◽  
pp. 665-683 ◽  
Author(s):  
Chao Zhang ◽  
Deyu Li ◽  
Jiye Liang
Keyword(s):  
Rough Sets ◽  
Two Universes ◽  
Fuzzy Linguistic

scholarly journals Parametric Rough Sets with Application to Granular Association Rule Mining

2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
Xu He ◽  
Fan Min ◽  
William Zhu
Keyword(s):  
Recommender Systems ◽  
Association Rule ◽  
Rough Sets ◽  
Relational Databases ◽  
Data Sets ◽  
Rule Mining ◽  
Real World Data ◽  
New Model ◽  
New Type ◽  
Two Universes

Granular association rules reveal patterns hidden in many-to-many relationships which are common in relational databases. In recommender systems, these rules are appropriate for cold-start recommendation, where a customer or a product has just entered the system. An example of such rules might be “40% men like at least 30% kinds of alcohol; 45% customers are men and 6% products are alcohol.” Mining such rules is a challenging problem due to pattern explosion. In this paper, we build a new type of parametric rough sets on two universes and propose an efficient rule mining algorithm based on the new model. Specifically, the model is deliberately defined such that the parameter corresponds to one threshold of rules. The algorithm benefits from the lower approximation operator in the new model. Experiments on two real-world data sets show that the new algorithm is significantly faster than an existing algorithm, and the performance of recommender systems is stable.

On Simplified Axiomatic Characterizations of (υ σ)-Fuzzy Rough Approximation Operators

2017 ◽  
Vol 25 (03) ◽  
pp. 457-476 ◽  
Author(s):  
Hongying Zhang ◽  
Haijuan Song
Keyword(s):  
Rough Sets ◽  
Axiomatic Approach ◽  
Fuzzy Relation ◽  
Fuzzy Relations ◽  
Constructive Approach ◽  
Axiomatic Characterizations ◽  
Approximation Operators ◽  
Rough Approximation ◽  
Potential Applications ◽  
Two Universes

The axiomatic approach is more appropriate than constructive approach for studying the algebraic structure of rough sets. In this paper, the more simple axiomatic characterizations of (υ σ)-fuzzy rough approximation operators are explored where υ is a residuated implicator and σis its dual implicator. Firstly, we review the existing independent axiomatic sets to characterize various types of υ-lower and σ-upper fuzzy rough approximation operators. Secondly, we present one-axiom characterizations of (υ σ)-fuzzy rough approximation operators constructed by a serial fuzzy relation on two universes. Furthermore, we show that (υ σ)-fuzzy rough approximation operators, corresponding to reexive, symmetric and T-transitive fuzzy relations, can be presented by only two axioms respectively. We conclude the paper by introducing some potential applications and future works.

scholarly journals Merger and Acquisition Target Selection Based on Interval Neutrosophic Multigranulation Rough Sets over Two Universes

Symmetry ◽  
2017 ◽  
Vol 9 (7) ◽  
pp. 126 ◽  
Author(s):  
Chao Zhang ◽  
Deyu Li ◽  
Arun Sangaiah ◽  
Said Broumi
Keyword(s):  
Rough Sets ◽  
Target Selection ◽  
Merger And Acquisition ◽  
Two Universes
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