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Theory and Application on Rough Set, Fuzzy Logic, and Granular Computing

Xibei Yang, Weihua Xu, Yanhong She
2015 The Scientific World Journal  
Xue et al. also construct a novel model of the generalized fuzzy rough set under interval-valued fuzzy relation.  ...  From the view of GrC, the optimistic multigranulation T-fuzzy rough set model was established based on multiple granulations under T-fuzzy approximation space by W. Xu. The manuscript of W.  ...  Xue et al. also construct a novel model of the generalized fuzzy rough set under interval-valued fuzzy relation.  ... 
doi:10.1155/2015/967350 pmid:26258170 pmcid:PMC4519527 fatcat:76duqu4majb47al2xvadchk4cy

An interval-valued hesitant fuzzy multigranulation rough set over two universes model for steam turbine fault diagnosis

Chao Zhang, Deyu Li, Yimin Mu, Dong Song
2017 Applied Mathematical Modelling  
Interval-valued hesitant fuzzy sets Multigranulation rough sets over two universes Interval-valued hesitant fuzzy multigranulation rough sets over two universes a b s t r a c t In the field of mechanical  ...  sets with multigranulation rough sets over two universes, called an interval-valued hesitant fuzzy multigranulation rough set over two universes.  ...  Acknowledgments The authors are very grateful to the subject editor and anonymous reviewers for their constructive and insightful comments and suggestions, which have improved the quality of this paper  ... 
doi:10.1016/j.apm.2016.10.048 fatcat:2wci4x4zjzgs3pbh5ltbi55pc4

A Novel Decision-Making Approach to Fund Investments Based on Multigranulation Rough Set

Xima Yue, Xiang Su
2018 Complexity  
In view of this problem, this paper starts from the granular computing point of view and combines the multigranulation rough set decision-making method to construct a fund investment decision information  ...  This study provides a new approach to fund management.  ...  XS contributed to the framework and provided several suggestions for improving the quality of this manuscript. All authors revised and approved the publication.  ... 
doi:10.1155/2018/7032402 fatcat:k4iroupsvrez3ec5nbuvrp4uje

Multigranulation Roughness of Intuitionistic Fuzzy Sets by Soft Relations and Their Applications in Decision Making

Muhammad Zishan Anwar, Shahida Bashir, Muhammad Shabir, Majed G. Alharbi
2021 Mathematics  
Multigranulation rough set (MGRS) based on soft relations is a very useful technique to describe the objectives of problem solving.  ...  This MGRS over two universes provides the combination of multiple granulation knowledge in a multigranulation space.  ...  Data Availability Statement: We did not use any data for this research work.  ... 
doi:10.3390/math9202587 fatcat:j4umbqwa5fgejiu3lxit26gkly

Pessimistic rough set based decisions: A multigranulation fusion strategy

Yuhua Qian, Shunyong Li, Jiye Liang, Zhongzhi Shi, Feng Wang
2014 Information Sciences  
It provides a new perspective for decision making analysis based on rough set theory.  ...  From this point of view, the objective of this study is to develop a new multigranulation rough set based decision model based on SCED strategy, called pessimistic multigranulation rough sets.  ...  Jensen and Shen [10] developed a series of feature selection approaches for classification using the fuzzy rough set model.  ... 
doi:10.1016/j.ins.2013.12.014 fatcat:2i3wyqhvt5hmtpnjkljsgqmzn4

Recent Fuzzy Generalisations of Rough Sets Theory: A Systematic Review and Methodological Critique of the Literature

Abbas Mardani, Mehrbakhsh Nilashi, Jurgita Antucheviciene, Madjid Tavana, Romualdas Bausys, Othman Ibrahim
2017 Complexity  
Currently, there is not a systematic literature review and classification of these new generalisations about rough set models.  ...  Rough sets models, which have been recently proposed, are developed applying the different fuzzy generalisations.  ...  [60] proposed a novel approach for extracting the fuzzy preference relations by using a fuzzy-rough set model.  ... 
doi:10.1155/2017/1608147 fatcat:o6khgyofg5g55hwgdj2y6angii

Topological approach to multigranulation rough sets

Guoping Lin, Jiye Liang, Yuhua Qian
2013 International Journal of Machine Learning and Cybernetics  
For further studying the theory of multigranulation rough sets, we attempt to investigate a new theory on multigranulation rough sets from the topological view in this paper.  ...  Then, topological granularity and topological entropy are proposed to characterize the uncertainty of a multigranulation topological rough space.  ...  Acknowledgments The authors would like to thank the anonymous reviewers and the editor for their constructive and valuable comments. This work is supported by grants from National Natural Science  ... 
doi:10.1007/s13042-013-0160-x fatcat:xlajhu2kcnd3djs2fjtujhhbzy

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

Chao Zhang, Deyu Li, Arun Sangaiah, Said Broumi
2017 Symmetry  
In order to handle these difficulties in M&A target selection background, we introduce a novel rough set model by combining interval neutrosophic sets (INSs) with multigranulation rough sets over two universes  ...  Finally, we establish decision making rules and computing approaches for the proposed model in M&A target selection background, and the effectiveness of the decision making approach is demonstrated by  ...  Acknowledgments: The authors would like to thank the editors and anonymous reviewers for their helpful comments and suggestions.  ... 
doi:10.3390/sym9070126 fatcat:rvsmkxscanbrveyiewx4nwmb7u

Local and Global Measurements of MGRS Rules

Xibei Yang, Yanqin Zhang, Jingyu Yang
2012 International Journal of Computational Intelligence Systems  
Since the multigranulation rough sets (MGRS) can be considered as the compositions of multiindependent Pawlak's rough sets, the multigranulation rough set rules (MGRS rules) are then the compositions of  ...  The necessary conditions for these factors to achieve maximal and minimal values are also addressed. Some numerical examples are employed to substantiate the conceptual arguments.  ...  Multigranulation rough memberships In Pawlak's rough set model, there is a direct relationship between rough approximation and the membership such that µ A X (x) = 1 ⇔ x ∈ A(X); 0 < µ A X (x) 1 ⇔ x ∈ A  ... 
doi:10.1080/18756891.2012.747655 fatcat:vqozcqefw5abdbaez5gwjl4afm

Multi-Attribute Group Decision Making Based on Multigranulation Probabilistic Models with Interval-Valued Neutrosophic Information

Chao Zhang, Deyu Li, Xiangping Kang, Yudong Liang, Said Broumi, Arun Kumar Sangaiah
2020 Mathematics  
In this paper, in order to handle MAGDM issues with interval-valued neutrosophic (IN) information, we adopt one of the granular computing (GrC)-based approaches, known as multigranulation probabilistic  ...  Among diverse tools for coping with MAGDM, granular computing-based approaches constitute a series of viable and efficient theories by means of multi-view problem solving strategies.  ...  Acknowledgments: The authors are grateful to the editor and three anonymous reviewers for their helpful and valuable comments which helped to improve the quality of the research.  ... 
doi:10.3390/math8020223 fatcat:n6zhhbdjczhm7d3y74unq6n7cu

Multigranulation with different grades rough set in ordered information system

Jianhang Yu, Weihua Xu
2015 2015 12th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)  
The the graded rough set and multi-granulation rough set are two significant extended rough set models, both constructed on the the indiscernibility relations.  ...  Finally, we study a case about students' achievement estimate the performance of the proposed properties. In the viewpoint of granular computing, our study extension the classical rough set theory.  ...  So, Yao et al. investigated the relationship between rough set model and modal logics, the graded rough set(GRS) was proposed by utilizing the modal logics [2] .  ... 
doi:10.1109/fskd.2015.7382063 dblp:conf/fskd/YuX15 fatcat:ffkinf74a5ctvbysmwvdnbtnay

Rough Set Approach to Incomplete Multiscale Information System

Xibei Yang, Yong Qi, Dongjun Yu, Hualong Yu, Xiaoning Song, Jingyu Yang
2014 The Scientific World Journal  
The descriptor technique is employed to construct rough sets at different scales for analyzing the hierarchically structured data.  ...  Multiscale information system is a new knowledge representation system for expressing the knowledge with different levels of granulations.  ...  For example, a family of the partitions can be regarded as a partitions based multigranulation space. Presently, the development of multigranulation rough sets approaches is progressing rapidly.  ... 
doi:10.1155/2014/538968 pmid:25276852 pmcid:PMC4151588 fatcat:xwwsssc53rebzdgxe4v5yz7vlm

A comparative study of multigranulation rough sets and concept lattices via rule acquisition

Jinhai Li, Yue Ren, Changlin Mei, Yuhua Qian, Xibei Yang
2016 Knowledge-Based Systems  
factor but a different support factor in multigranulation rough sets and concept lattices.  ...  ; 2) the combination of the truth parts of an "OR" decision rule in optimistic multigranulation rough sets is an item of the decomposition of a disjunctive rule in concept lattices; 3) a non-redundant  ...  Acknowledgements The authors would like to thank anonymous reviewers for their valuable comments and helpful suggestions which lead to a significant improvement on the manuscript.  ... 
doi:10.1016/j.knosys.2015.07.024 fatcat:kbfpre5mgndu7hqo2322nesxty

Uncertainty measures in multigranulation with different grades rough set based on dominance relation1

Jianhang Yu, Xiaoyan Zhang, Zhenhua Zhao, Weihua Xu, Zheng Xiao, Kenli Li
2016 Journal of Intelligent & Fuzzy Systems  
The graded rough set and multi-granulation rough set are two significant generalized rough set models which be constructed on the indiscernibility relation.  ...  Three new types of multi-granulation with different grades rough set models are proposed, which include the optimistic, pessimistic and mean multi-granulation with different grades rough set.  ...  So, Yao et al. investigated the relationship between rough set model and modal logics, the graded rough set (GRS) was proposed by utilizing the modal logics [20] .  ... 
doi:10.3233/jifs-169042 fatcat:bhw7efbc4fdgpgbidvhzvoalga

Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets

Florentin Smarandache, Xiaohong Zhang, Mumtaz Ali
2019 Symmetry  
Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (<A>, <neutA>, <antiA>), where <A> is an entity (i.e. element, concept, idea, theory, logical proposition, etc.), <antiA  ...  We found the edition and selections of papers for this book very inspiring and rewarding. We also thank the editorial staff and reviewers for their efforts and help during the process.  ...  The type-II multigranulation neutrosophic rough set (MNRSII) and type-III multigranulation neutrosophic rough set (MNRSIII) are proposed and their different properties are outlined.  ... 
doi:10.3390/sym11020171 fatcat:be6tdw2oz5hu3gbfj3llcn4pgm
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