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GDTRSET: a generalized decision-theoretic rough sets based on evidence theory
Decision-theoretic rough sets (DTRS), produced by Bayesian risk minimum principle and three-way decision theory, is a novel methodology to deal with...
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Algebraic Formulations and Geometric Interpretations of Decision-Theoretic Rough Sets
Decision-theoretic rough sets (DTRS) are a probabilistic generalization of rough sets based on Bayesian decision theory. Existing studies on DTRS... -
Event prediction with rough-fuzzy sets
This article proposes a new methodology of unsupervised event prediction from videos. Detecting events from videos without prior information is a...
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Three-Way Decision Models Based on Multi-granulation Rough Intuitionistic Hesitant Fuzzy Sets
In practice, people may hesitate to evaluate uncertain things. As an extension of fuzzy sets, intuitionistic hesitant fuzzy sets use multiple...
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Decision Theoretic Rough Set-Based Neighborhood for Self-Organizing Map
A decision theoretic rough set-based neighborhood selection process is developed for self-organizing maps. While the neighborhood of the winner...
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A water quality prediction method based on k-nearest-neighbor probability rough sets and PSO-LSTM
Water security has attracted a lot of attention in the world, and water quality assessment is the main task to ensure water security. In China, as an...
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Neighborhood based decision theoretic rough set under dynamic granulation for BCI motor imagery classification
Brain Computer Interface is an interesting and important research field that has contributed widespread application systems. In the medical field, it...
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Soft dominance based multigranulation decision theoretic rough sets and their applications in conflict problems
The extension of rough set model is a crucial and vast research direction in rough set theory. Meanwhile decision making can be considered as a...
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On threshold based approximations of mf-rough sets
This paper introduces a new notion of upper/lower approximations using rough membership functions. These are defined with respect to some thresholds...
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A new type of cosine similarity measures based on intuitionistic hesitant fuzzy rough sets for the evaluation of volatile currency: evidence from the Pakistan economy
This article proposes novel cosine and weighted cosine similarity measures based on intuitionistic hesitant fuzzy rough sets and examines their...
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Algebraic Models for Qualified Aggregation in General Rough Sets, and Reasoning Bias Discovery
In the context of general rough sets, the act of combining two things to form another is not straightforward. The situation is similar for other... -
Granularity and Rational Approximation: Rethinking Graded Rough Sets
The concept of rational discourse is typically determined by subjective, normative, and rule based constraints in the context under consideration. It... -
A novel approach based on rough set theory for analyzing information disorder
The paper presents and evaluates an approach based on Rough Set Theory, and some variants and extensions of this theory, to analyze phenomena related...
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Updating approximations with dynamic objects based on local multigranulation rough sets in ordered information systems
The main task of local rough set model is to avoid the interference of complicated calculation and invalid information in the formation of...
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Neighborhood rough set with neighborhood equivalence relation for feature selection
Feature selection of the neighborhood rough set is an important step in preprocessing the data and improving classification performance. Neighborhood...
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A multigranulation rough set model based on variable precision neighborhood and its applications
As combinations of neighborhood rough sets and multigranulation rough sets (MRSs), optimistic and pessimistic neighborhood MRSs can handle complex...
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Feature selection based on multi-perspective entropy of mixing uncertainty measure in variable-granularity rough set
Neighborhood rough set is an important model in feature selection. However, it only determines the granularity of the neighborhood from a feature...
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Approximation Relation for Rough Sets
Rough set theory has the ability of deduction, reduction and common sense reasoning. First, this paper proposes the definition of the approximation... -
Fuzzy \(\alpha \) -Cut in Rough Sets and Its Application
This work indicates application of the notion of fuzzy \(\alpha \)... -
Probability rough set and portfolio optimization integrated three-way predication decisions approach to stock price
In the stock market, accurate trend judgment and reasonable asset distribution are effective ways to obtain ideal return. However, the real stock...