FU Li1,QIN Feng1,2*
（1 School of Mathematics and Statistics,Qinghai Minzu University,Xining 810007,Qinghai,China;2 School of Mathematics and Statistics,Jiangxi Normal University,Nanchang 330022,Jiangxi,China)
Abstract:
By means of Cliffords ordinal sum theory,according to the classification criteria of whether the outer operator G1 is a uninorm, the other two kinds of methods to constructing a new n-uninorm are given. Based on these methods, there are a number of new n-uninorms. Moreover, as an application, it is proved that the converse propositions of all decomposed theorems hold for all n-uninorms with continuous underlying functions in the relevant references.
KeyWords:
fuzzy connective; uninorms;n-uninorms; ordinal sum
