Graded dominance interval-based fuzzy objective information systems |
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| Authors: | Bing Huang |
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| Affiliation: | 1. Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei Province 445000, China;2. Department of Mathematics, Yazd University, Yazd, Iran;1. School of Mathematics and Statistics, Hubei Minzu University, Enshi, Hubei 445000, China;2. School of Information Science and Technology, Nantong University, Nangtong 226019, China;3. Faculty of Information Technolog, Ho Chi Minh City University of Technology (HUTECH), Ho Chi Minh City, Viet Nam;4. Andalusian Research Institute DaSCI Data Science and Computational Intelligence, University of Granada, Spain;5. Faculty of Software and Information Science, Iwate Prefectural University, Sugo Takizawa, Iwate 020-0193, Japan |
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| Abstract: | Dominance interval-based fuzzy objective information systems are generalized models of single-valued fuzzy information systems. By introducing a graded dominance relation to dominance interval-valued fuzzy objective information systems, we establish a graded dominance interval-valued rough set model (RSM), which is mainly based on replacing the indiscernibility relation in classical rough set theory with the graded dominance interval-valued relation. Furthermore, in order to simplify knowledge representation and extract nontrivial simpler graded dominance interval fuzzy decision rules, we propose two attribute reduction approaches to eliminate the redundant condition attributes that are not essential from the viewpoint of graded dominance interval-valued fuzzy decision rules. These results are helpful for decision-making analysis in dominance interval-valued fuzzy objective information systems. |
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