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Multigranulation decision-theoretic rough sets

Yuhua Qian, Hu Zhang, Yanli Sang, Jiye Liang
2014 International Journal of Approximate Reasoning  
Exploring rough sets in the viewpoint of multigranulation is becoming one of desirable directions in rough set theory, in which lower/upper approximations are approximated by granular structures induced  ...  Through combining these two ideas, the objective of this study is to develop a new multigranulation rough set model, called a multigranulation decision-theoretic rough set.  ...  Multigranulation rough sets The multigranulation rough set (MGRS) is different from Pawlak's rough set model because the former is constructed on the basis of a family of indiscernibility relations instead  ... 
doi:10.1016/j.ijar.2013.03.004 fatcat:lspx6nievrhgpidell4kyzhsae

Further Study of MultigranulationT-Fuzzy Rough Sets

Wentao Li, Xiaoyan Zhang, Wenxin Sun
2014 The Scientific World Journal  
From the relationships, we can find that theT-fuzzy rough set model is a special instance of the two new types of models.  ...  The optimistic multigranulationT-fuzzy rough set model was established based on multiple granulations underT-fuzzy approximation space by Xu et al., 2012.  ...  Acknowledgments This work is supported by Natural Science Foundation of China (no. 61105041) and National Natural Science Foundation of CQ CSTC (no. cstc 2013jcyjA40051).  ... 
doi:10.1155/2014/927014 pmid:25215336 pmcid:PMC4156983 fatcat:wnzgosukxngupce4fjr5da7lqq

Granular Space Reduction to aβMultigranulation Fuzzy Rough Set

Junyi Zhou, Shaohui Ma, Jianzhen Li
2014 Abstract and Applied Analysis  
To test the algorithm, experiments are taken on five UCI data sets with different values ofβ. The results show the effectiveness of the proposed algorithm.  ...  Multigranulation rough set is an extension of classical rough set, and optimistic multigranulation and pessimistic multigranulation are two special cases of it.βmultigranulation rough set is a more generalized  ...  's multigranulation rough set theory, two basic models were defined. The first one is the optimistic multigranulation rough set, and the second one is the pessimistic multigranulation rough set.  ... 
doi:10.1155/2014/679037 fatcat:gz3kgmyiqjhjrk2x7gyt56d4gq

Hierarchical Structures on Multigranulation Spaces

Xi-Bei Yang, Yu-Hua Qian, Jing-Yu Yang
2012 Journal of Computer Science and Technology  
varieties of pessimistic multigranulation rough set, the third hierarchical structure is consistent to the monotonic varieties of both optimistic and pessimistic multigranulation rough sets.  ...  It is shown that the first hierarchical structure is consistent with the monotonic varieties of optimistic multigranulation rough set, and the second hierarchical structure is consistent to the monotonic  ...  s multigranulation rough set theory, there are two basic models: one is the optimistic multigranulation rough set, the other is the pessimistic multigranulation rough set [16] .  ... 
doi:10.1007/s11390-012-1294-0 fatcat:xesoe4zomrcupj6npg3b7v7xjy

Generalized multigranulation double-quantitative decision-theoretic rough set

Weihua Xu, Yanting Guo
2016 Knowledge-Based Systems  
So generalized multigranulation rough set theory is a desirable fusion method, in which upper and lower approximations are approximated by granular structures satisfying a certain level of information.  ...  By considering relative and absolute quantitative information between the class and concept, we propose two kinds of generalized multigranulation double-quantitative decision-theoretic rough sets(GMDq-DTRS  ...  [2] , the fuzzy rough set model and the rough fuzzy set model [1] and so on.  ... 
doi:10.1016/j.knosys.2016.05.021 fatcat:nqbfkgyhwfeqxjrgu6thuawlse

Generalized multigranulation rough sets and optimal granularity selection

Weihua Xu, Wentao Li, Xiantao Zhang
2017 Granular Computing  
Acknowledgements The author would like to thank the valuable suggestions from the anonymous referees, and Professor Witold Pedrycz, the editor in chief, for improving the quality of the paper.  ...  Rough set proposed by Pawlak is a single granulation rough set model, and the granular structure in this model is induced by the indiscernibility relation of the attribute set.  ...  rough set, we now review the two basic forms of multigranulation rough set model.  ... 
doi:10.1007/s41066-017-0042-9 fatcat:xpjq2ff77bh6rovbgl5ez7kfr4

A Lattice-Theoretic Approach to Multigranulation Approximation Space

Xiaoli He, Yanhong She
2014 The Scientific World Journal  
_)forms an order-preserving Galois connection, if and only if the collection of lower (resp., upper) definable sets forms an (resp., union) intersection structure, if and only if the collection of multigranulation  ...  The obtained results help us gain more insights into the mathematical structure of multigranulation approximation spaces.  ...  To more widely apply the rough set theory in practical applications, Qian et al. extended Pawlak's single-granulation rough set model to a multigranulation rough set model (see [7] ).  ... 
doi:10.1155/2014/785932 pmid:25243226 pmcid:PMC4163338 fatcat:ydww6fwdxvfhpiury4yvituwlm

Pessimistic rough set based decisions: A multigranulation fusion strategy

Yuhua Qian, Shunyong Li, Jiye Liang, Zhongzhi Shi, Feng Wang
2014 Information Sciences  
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.  ...  Multigranulation rough sets (MGRS) is one of desirable directions in rough set theory, in which lower/upper approximations are approximated by granular structures induced by multiple binary relations.  ...  Optimistic multigranulation rough set The multigranulation rough set (MGRS) is different from Pawlak's rough set model because the former is constructed on the basis of a family of indiscernibility relations  ... 
doi:10.1016/j.ins.2013.12.014 fatcat:2i3wyqhvt5hmtpnjkljsgqmzn4

A rule-extraction framework under multigranulation rough sets

Xin Liu, Yuhua Qian, Jiye Liang
2013 International Journal of Machine Learning and Cybernetics  
The multigranulation rough set (MGRS) is becoming a rising theory in rough set area, which offers a desirable theoretical method for problem solving under multigranulation environment.  ...  However, it is worth noticing that how to effectively extract decision rules in terms of multigranulation rough sets has not been more concerned.  ...  Since then, many researchers have extended the multigranulation rough set model so as to improve the modeling capability of classical multigranulation rough sets. Qian et al.  ... 
doi:10.1007/s13042-013-0194-0 fatcat:7ktcu4ko5rgdtbchouwuqf3hlm

A Dual Hesitant Fuzzy Multigranulation Rough Set over Two-Universe Model for Medical Diagnoses

Chao Zhang, Deyu Li, Yan Yan
2015 Computational and Mathematical Methods in Medicine  
Thus, to solve the problems of uncertain data analysis and group decision making in disease diagnoses, we propose a new rough set model called dual hesitant fuzzy multigranulation rough set over two universes  ...  by combining the dual hesitant fuzzy set and multigranulation rough set theories.  ...  Acknowledgments The work was supported by the National Natural Science  ... 
doi:10.1155/2015/292710 pmid:26858772 pmcid:PMC4691518 fatcat:qcdpcjj2c5drbkrpuxqvzo7vki

Multigranulations Rough Set Method of Attribute Reduction in Information Systems Based on Evidence Theory

Minlun Yan
2014 Journal of Applied Mathematics  
It is necessary to study the issue of attribute reduction based on multigranulations rough set.  ...  Attribute reduction is one of the most important problems in rough set theory. However, from the granular computing point of view, the classical rough set theory is based on a single granulation.  ...  , the fuzzy rough set model, and the rough fuzzy set model [14] [15] [16] .  ... 
doi:10.1155/2014/857186 fatcat:t53at6kszrbxzo7tmv7gbjs7qe

A fuzzy multigranulation decision-theoretic approach to multi-source fuzzy information systems

Guoping Lin, Jiye Liang, Yuhua Qian, Jinjin Li
2016 Knowledge-Based Systems  
In this paper, a novel model, fuzzy multigranulation decision-theoretic rough set model (FM-DTRS), is proposed in terms of inclusion measure of fuzzy rough sets in the viewpoint of fuzzy multigranulation  ...  A comparative study between the proposed fuzzy multigranulation decision-theoretic rough set model and Qian's multigranulation decision-theoretic rough set model is made.  ...  Acknowledgments The authors would like to thank Prof. Hailong Yang for his im-  ... 
doi:10.1016/j.knosys.2015.09.022 fatcat:77pc3xcpmbhl3esz72kkhuhyri

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  ...  And from the aspects of decision accuracy and rule accuracy, the rules are analyzed. Finally, decision rules are used to give the decision of the fund investment project.  ...  Conflicts of Interest The authors declare no conflict of interest. Authors' Contributions XY is the principal investigator of this work. He performed the experiments and wrote this manuscript.  ... 
doi:10.1155/2018/7032402 fatcat:k4iroupsvrez3ec5nbuvrp4uje

Multigranulation rough set: A multiset based strategy

Xibei Yang, Suping Xu, Huili Dou, Xiaoning Song, Hualong Yu, Jingyu Yang
2017 International Journal of Computational Intelligence Systems  
To solve such problem, by the motivation of the multiset, the model of the multiple multigranulation rough set is proposed, in which both lower and upper approximations are multisets.  ...  Experimental results show: 1. the approximate quality based on multiple multigranulation rough set is between approximate qualities based on optimistic and pessimistic multigranulation rough sets; 2. by  ...  Obviously, Pawlak's rough set is constructed on the basis of one and only one set of the information granules (set of equivalence classes in a partition), we call such set a granular structure 29 .  ... 
doi:10.2991/ijcis.2017.10.1.19 fatcat:kh5ych5eubh6xbrgbaqax72u2m

VPT - O MGRS: Variable Precision Optimistic Multigranulation Rough Set Based on Tolerance Relations

Sheng Yao, Dept. of Computer Science and Technology , University of AnHui University , TK 230601 - China, Longshu Li, Yi Xu, Dept. of Computer Science and Technology , University of AnHui University , TK 230601 - China, Dept. of Computer Science and Technology , University of AnHui University , TK 230601 - China
2013 Journal of Engineering Science and Technology Review  
In recent years, multigranulation rough set has been an emerging direnction in rough set theory, which uses multiple structures.  ...  To study the incomplete information system under multigranulation environment, this paper first proposes the variable precision optimistic multigranulation rough set based on tolerance relations combining  ...  Acknowledgements This work was supported by National Natural Science Foundation of China (60273043), Natural Science Foundation of Anhui province (090412054), Natural Science Foundation of Anhui Higher  ... 
doi:10.25103/jestr.065.07 fatcat:gjx5rnr34rfgnhcfxbvyfrzvp4
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