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《Journal of Jiangxi Normal University(Natural Science Edition)》 2018-03
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The Novel Method of Constructing Fuzzy Implications by Ordinal Sum

YANG Li;QIN Feng;College of Fundamental Teaching,Nanchang Institute of Science and Technology;College of Mathematics and Informatics,Jiangxi Normal University;  
With the aid of the ordinal theory of semigroups,starting from the family of fuzzy implications,a novel ordinal sum of fuzzy implications is defined,and the necessary and sufficient conditions of this ordinal sum becoming a fuzzy implication are given,then the current two methods of constructing fuzzy implications using the ordinal theory are generalized and unified. Finally,some properties of the ordinal sum of fuzzy implications are discussed.
【Fund】: 国家自然科学基金(61563020);; 江西省自然科学重点基金(20171ACB20010);; 南昌工学院科研(NGKJ-17-18)资助项目
【CateGory Index】: O159
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