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《Fuzzy Systems and Mathematics》 2018-03
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A New Type of Fuzzy Mappings

ZHU Xiang;LIAO Zu-hua;Division of General Courses,Wuxi Institute of Technology;School of Science,Jiangnan University;  
Fuzzy mapping has a lot of applications in the fields of fuzzy optimization,fuzzy evaluation,fuzzy control and fuzzy decision.Based on the study of Zadeh extension principle and minimal extension principle,a new fuzzy mapping is proposed,which is a generalization of minimal extension principle.In addition,the new fuzzy mapping is studied,and its properties under fuzzy set operation is given.And the decomposition theorem of a fuzzy set under the new fuzzy mapping is obtained.Finally,the compatibility of fuzzy sets with new fuzzy mappings is discussed,and the minimum theorem is obtained under the new fuzzy mappings.
【Fund】: 国家自然科学基金资助项目(61673193;61170121;11401259);; 江苏省自然科学基金资助项目(BK20151117);; 江苏省高等职业院校专业带头人高端研修资助项目(2016GRFX057)
【CateGory Index】: O159
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