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Three-Way Decision for Handling Uncertainty in Machine Learning: A Narrative Review [chapter]

Andrea Campagner, Federico Cabitza, Davide Ciucci
2020 Lecture Notes in Computer Science  
In this work we introduce a framework, based on threeway decision (TWD) and the trisecting-acting-outcome model, to handle uncertainty in Machine Learning (ML).  ...  of strength of the three-way methodology, and the opportunities for further research.  ...  .: On modeling similarity and three-way decision under incomplete information in rough set theory. Knowl.-Based Syst. 191, 105251 (2020) 46.  ... 
doi:10.1007/978-3-030-52705-1_10 fatcat:4nbk2zffkjevbbdv7l5zpofi5i

Research on the Generalized Decision Reducts and the Acquisition of Optimal Decision Rules in Generalized Decision Information System

Chen Keming, Zheng Jian-guo, Li Kang, Deng Li
2015 Open Automation and Control Systems Journal  
ROUGH SET THEORY WITH OTHER MATHE-MATIC THEORIES Fuzzy set and rough set both are generalizations of classical set.  ...  The properties and relationship between Pawlak reducts with respect to definite information and generalized decision reducts based on indefinite information were analysed and revealed respectively.  ...  On the other hand, tolerant rough set model can be used to deal with incomplete information systems.  ... 
doi:10.2174/1874444301507011470 fatcat:vcxwbmx6xbeirbymhj3azl32nm

Grey dominance variable precision rough set model based on grey dominance relationship

Yong Liu, Wu-yong Qian, Jeffrey Forrest
2014 Grey Systems Theory and Application  
In view of this, the thought and method of the set pair theory and variable precision rough set are used in this paper to construct a novel variable precision rough set model.  ...  After scrutinizing the advantages and limitations of the models previously established based on the set pair similarity relationship, we define the set pair homeopathic similarity relationship based on  ...  In order to deal with this problem, the set pair analysis method is introduced into the study of incomplete information systems [17] , and additional rough set models, which are based on set pair analysis  ... 
doi:10.1108/gs-08-2014-0027 fatcat:yey64nmorngxjompnfwreasuvi

An approach to emergency decision making based on decision-theoretic rough set over two universes

Bingzhen Sun, Weimin Ma, Haiyan Zhao
2015 Soft Computing - A Fusion of Foundations, Methodologies and Applications  
A Bayesian decision process based on linguistic description with qualitative data over two universes is first presented to construct the decision model and approach, and then the decision-theoretic rough  ...  The proposed approach integrates rough set theory over two universes using a Bayesian decision-making technique.  ...  Marek Reformat, and the two anonymous referees for their thoughtful comments and valuable suggestions.  ... 
doi:10.1007/s00500-015-1721-6 fatcat:2m2py7se7vbrbg34enom2pmzba

New advances in three-way decision, granular computing and concept lattice

Xizhao Wang, Jinhai Li
2020 International Journal of Machine Learning and Cybernetics  
In the fourth paper entitled "Three-way decisions: beyond rough sets and granular computing", Dun Liu, Xin Yang and Tianrui Li make a systematical review of important developmental stages of 3WD, including  ...  These new interdisciplinary researches have been promoting the development of 3WD, GrC and CL, and they are very welcome in the fields of granular computing and rough set theory.  ...  We would also like to take this opportunity to thank both authors and reviewers for their great efforts and supports to this issue.  ... 
doi:10.1007/s13042-020-01117-3 fatcat:rsophae27nhf5d3f6cyvnciyd4

Guest Editorial for the Special Issue on Fuzzy Rough Sets for Big Data

Weiping Ding, Witold Pedrycz, Chin-Teng Lin
2020 IEEE transactions on fuzzy systems  
He is an Editor-in-Chief for Information Sciences, and an Editor-in-Chief of WIREs Data Mining and Knowledge Discovery (Wiley).  ...  He has authored or coauthored numerous papers in these areas; the current h-index is 107 (Google Scholar) and 82 on the list top-h scientists for computer science and electronics.  ...  The article entitled "Shadowed Neighborhoods Based on Fuzzy Rough Transformation for Three-Way Classification," Yue et al. proposes a novel shadowed set based on fuzzy rough transformation to construct  ... 
doi:10.1109/tfuzz.2020.2979204 fatcat:kau4a4xp2zfdtjbrx5jpfmg7vm

Applications of Soft Set in Decision Making Problems

B.V.S.T. Sai
2020 Global Journal of Pure and Applied Mathematics  
In this paper we present some of the main developments in the Applications of soft set theory as a survey of literature motivated by Molodtsov.  ...  Wang-Qin [109] proposed an algorithm of fuzzy soft set based decision-making problems under incomplete information.  ...  making model on the soft set theory and applied it to real life problem.  ... 
doi:10.37622/gjpam/16.2.2020.305-324 fatcat:rntj66shtzanrol7rwiavneaim

Analysis of International Competitiveness of Multinational Corporations Based on Rough Sets

Jing Zhao, Ning Qi, Zhihan Lv
2021 Complexity  
The simplification of knowledge of information systems and incomplete information systems and the theoretical and methodological study of rule acquisition are the central issues of rough set theory and  ...  Therefore, the theory of rough set is helpful for decision-makers to solve the decision problems of complex systems.  ...  Conflicts of Interest e authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.  ... 
doi:10.1155/2021/9922410 fatcat:4lzcnkk7yvevxh24mtrq25lmfe

Hybrid MCDM Based on VIKOR and Cross Entropy under Rough Neutrosophic Set Theory

Katarina Rogulj, Jelena Kilić Kilić Pamuković, Majda Ivić
2021 Mathematics  
A new multicriteria decision-making model is developed that is a fusion of rough set and neutrosophic set theory.  ...  Problems in real life usually involve uncertain, inconsistent and incomplete information.  ...  The theory of rough sets was first proposed by Pawlak [1] , and has been used as a tool to process incomplete and indistinct information.  ... 
doi:10.3390/math9121334 fatcat:amdwjlfe3zcg7g7ra77kzp6zde

Streamlining of the Process of Decision-Making in Real Estate Management with Incomplete Information

Małgorzata Renigier-Biłozor, Andrzej Biłozor, Agnieszka Napiórkowska-Baryła
2016 Real Estate Management and Valuation  
This paper presents a streamlined sub-system of decision-making in a real estate market with incomplete data.  ...  We would like to emphasize that all decisions are made under the conditions of an information gap.  ...  In module VI, decision-making rules are set according to the rough set theory based on Bolo's assumptions (If....then...) .  ... 
doi:10.1515/remav-2016-0006 fatcat:v6cfhw55vbdi5eucchxkw5l2g4

An Improved Limited Tolerance Rough Set Model

Chen Wu, Komal Narejo, Dandan Li
2017 Zenodo  
Some extended rough set models in incomplete information system cannot distinguish the two objects that have few known attributes and more unknown attributes; some cannot make a flexible and accurate discrimination  ...  Our practical study case shows the model can get fine and reasonable decision results.  ...  ACKNOWLEDGMENT This work was partially and financially supported by a Chinese National Science Foundation (61100116) and a Foundation from Educational Bureau of Jiangsu provincial government and a Foundation  ... 
doi:10.5281/zenodo.1132887 fatcat:dc6xvrfkdvd6zfyqfsuocj6bpa

An Outline of a Theory of Three-Way Decisions [chapter]

Yiyu Yao
2012 Lecture Notes in Computer Science  
A theory of three-way decisions is constructed based on the notions of acceptance, rejection and noncommitment.  ...  Three-way decisions play a key role in everyday decision-making and have been widely used in many fields and disciplines.  ...  We demonstrate that the proposed theory can describe and explain three-way decisions in many-valued logics and generalizations of set theory, including interval sets, rough sets, decision-theoretic rough  ... 
doi:10.1007/978-3-642-32115-3_1 fatcat:txwsdtdg7zgotlwmiy3uwmheeq

Probabilistic Linguistic Three-Way Multi-Attibute Decision Making for Hidden Property Evaluation of Judgment Debtor

Jinhui He, Huirong Zhang, Zhenyu Zhang, Jiaping Zhang
2021 Journal of Mathematics  
Considering the advantages of probabilistic linguistic term sets (PLTSs) expressing the evaluation information and their probabilities on judgment debtor given by expert judges, we extend the three-way  ...  Therefore, we develop a hidden property evaluation model based on the probabilistic linguistic three-way multiattribute decision-making (PL3W-MADM) method.  ...  [29] proposed a three-way decision model based on the incomplete information system and defined a new relation to describe the similarity degree of incomplete information.  ... 
doi:10.1155/2021/9941200 doaj:a3a8f87d3f40402b995310f5dfa04cba fatcat:ig4tibc3qffr7jdrmsmbtvygte

A three-way approach for protein function classification

Hafeez Ur Rehman, Nouman Azam, JingTao Yao, Alfredo Benso, Yong Deng
2017 PLoS ONE  
We considered probabilistic rough sets based models such as Game-Theoretic Rough Sets (GTRS) and Information-Theoretic Rough Sets (ITRS) for inducing three-way decisions.  ...  An architecture of protein functions classification with probabilistic rough sets based three-way decisions is proposed and explained.  ...  We are also thankful to the Higher Education Commission of Pakistan for providing student grant under the SRGP (Startup Research Grant Program) initiative.  ... 
doi:10.1371/journal.pone.0171702 pmid:28234929 pmcid:PMC5325230 fatcat:n7ldjz52hffi3gmnq6v4ynearq

Three-way Ensemble Clustering for Incomplete Data

Pingxin Wang, Xiangjian Chen
2020 IEEE Access  
In this paper, we present a new imputation algorithm for incomplete data and a three-way ensemble clustering algorithm based on the imputation result.  ...  INDEX TERMS Three-way decision, three-way clustering, incomplete data, ensemble clustering. VOLUME 8, 2020 This work is licensed under a Creative Commons Attribution 4.0 License.  ...  In order to interpret the three types of decision rules, Yao [35] introduced the Bayes risk decisionmaking into rough sets and proposed the decision-theoretic rough set model, then proposed the theory  ... 
doi:10.1109/access.2020.2994380 fatcat:pwydjazuqvhhjpeqhrakkc4qrm
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