Generalization of (U,N)-Implications
2015 ◽
Vol 23
(03)
◽
pp. 367-377
Keyword(s):
In this paper we generalize (U,N)-implications. First we introduce (US, N)-operation by replacing the uninorm U with a semi-uninorm US in the definition of a (U, N)-operation. Then the necessary and sufficient conditions that a (US, N)-operation is a implication are given out. Furthermore, we characterize the (US, N)-implications. Last we generalize the definition of rotation invariant and investigate the intersection between the residual implications and (US,N)-implications derived from some semi-uninorms with the generalized rotation invariant.
2011 ◽
Vol 2011
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pp. 1-19
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1975 ◽
Vol 18
(1)
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pp. 7-17
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1978 ◽
Vol 30
(4)
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pp. 783-796
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Vol 2006
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pp. 1-13
2013 ◽
Vol 336-338
◽
pp. 2359-2362
2020 ◽
Vol 3
(SI3)
◽
pp. First