| Chen Linshu (陈林书),Wang Jiayang.[J].高技术通讯(英文),2017,23(3):293~297 |
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| The rough representation and measurement of quotient structure in algebraic quotient space model |
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| DOI：10.3772/j.issn.1006-6748.2017.03.010 |
| 中文关键词: |
| 英文关键词: granular computing, algebraic quotient space model, quotient structure, upper ( lower) congruence relation |
| 基金项目: |
| Author Name | Affiliation | | Chen Linshu (陈林书) | | | Wang Jiayang | |
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| 中文摘要: |
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| 英文摘要: |
| Granular computing is a very hot research field in recent years. In our previous work an algebraic quotient space model was proposed, where the quotient structure could not be deduced if the granulation was based on an equivalence relation. In this paper, definitions were given and formulas of the lower quotient congruence and upper quotient congruence were calculated to roughly represent the quotient structure. Then the accuracy and roughness were defined to measure the quotient structure in quantification. Finally, a numerical example was given to demonstrate that the rough representation and measuring methods are efficient and applicable. The work has greatly enriched the algebraic quotient space model and granular computing theory. |
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