Presently, the notion of multigranulation has been brought to our attention. In this paper, the multigranulation technique is introduced into incomplete information systems. Both tolerance relations and maximal consis...Presently, the notion of multigranulation has been brought to our attention. In this paper, the multigranulation technique is introduced into incomplete information systems. Both tolerance relations and maximal consistent blocks are used to construct multigranulation rough sets. Not only are the basic properties about these models studied, but also the relationships between different multigranulation rough sets are explored. It is shown that by using maximal consistent blocks, the greater lower approximation and the same upper approximation as from tolerance relations can be obtained. Such a result is consistent with that of a single-granulation framework.展开更多
有限理性通常指决策者困顿于信息处理能力有限的自然状态,该状态是决策者在实际决策情境中需要面对的常态,因而有必要研究有限理性下的决策问题.多粒度粗糙集在多属性群决策分析领域的优势在于运算效率高,并能结合决策风险,然而多数基...有限理性通常指决策者困顿于信息处理能力有限的自然状态,该状态是决策者在实际决策情境中需要面对的常态,因而有必要研究有限理性下的决策问题.多粒度粗糙集在多属性群决策分析领域的优势在于运算效率高,并能结合决策风险,然而多数基于多粒度粗糙集的多属性群决策方法并未考虑有限理性这一实际情境.以q‐RO(q‐Rung Orthopair)模糊集为背景,首先提出乐观与悲观多粒度q‐RO模糊粗糙集模型;接着在并购对象选择的背景下,依据交互式多属性决策(Portuguese of Interactive and Multi‐criteria Decision Making,TODIM)法来处理有限理性下的决策信息,发展多粒度q‐RO模糊粗糙集的最优粒度选择机制并建立相应的多属性群决策方法;最后结合并购对象选择的实际算例验证了所建立模型与方法的有效性.展开更多
基金This work was supported by the National Natural Science Foundation of China （Grant Nos. 61170165, 61100116, 61272419, 61373062）, Natural Science Foundation of Jiangsu Province of China （BK2011492, BK2012700, BK20130471）, Qing Lan Project of JiangsuProvince of China, Key Laboratory of Intelligent Perception and Systems for High-Dimensional Information （Nanjing University of Science and Tech- nology）, Ministry of Education （30920130122005）, Key Laboratory of Arti- ficial Intelligence of Sichuan Province （2013RYJ03）, Natural Science Foun- dation of Jiangsu Higher Education Institutions of China （13KJB520003, 13KJD520008）.
文摘Presently, the notion of multigranulation has been brought to our attention. In this paper, the multigranulation technique is introduced into incomplete information systems. Both tolerance relations and maximal consistent blocks are used to construct multigranulation rough sets. Not only are the basic properties about these models studied, but also the relationships between different multigranulation rough sets are explored. It is shown that by using maximal consistent blocks, the greater lower approximation and the same upper approximation as from tolerance relations can be obtained. Such a result is consistent with that of a single-granulation framework.
文摘有限理性通常指决策者困顿于信息处理能力有限的自然状态,该状态是决策者在实际决策情境中需要面对的常态,因而有必要研究有限理性下的决策问题.多粒度粗糙集在多属性群决策分析领域的优势在于运算效率高,并能结合决策风险,然而多数基于多粒度粗糙集的多属性群决策方法并未考虑有限理性这一实际情境.以q‐RO(q‐Rung Orthopair)模糊集为背景,首先提出乐观与悲观多粒度q‐RO模糊粗糙集模型;接着在并购对象选择的背景下,依据交互式多属性决策(Portuguese of Interactive and Multi‐criteria Decision Making,TODIM)法来处理有限理性下的决策信息,发展多粒度q‐RO模糊粗糙集的最优粒度选择机制并建立相应的多属性群决策方法;最后结合并购对象选择的实际算例验证了所建立模型与方法的有效性.
