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Idempotent uninorms

delete1999-11-01
delete219
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Bernard De Baets *
DOI:10.1016/S0377-2217(98)00325-7delete
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摘要

摘要

En 中文
Uninorms are an important generalization of t-norms and t-conorms: having a neutral element lying anywhere in the unit interval. Two broad classes of idempotent uninorms are fully characterized: the class of left-continuous ones and the class of right-continuous ones. In particular, the important subclasses of conjunctive left-continuous idempotent uninorms and of disjunctive right-continuous idempotent uninorms are characterized by means of super-involutive and sub-involutive decreasing unary operators. As a consequence, it is shown that any involutive negator gives rise to a conjunctive left-continuous idempotent uninorm and to a disjunctive right-continuous idempotent uninorm. (C) 1999 Elsevier Science B.V. All rights reserved.
Keyword:
fuzzy sets
idempotence
involutivity
negator
sub-involutivity
super-involutivity
t-conorm
t-norm
uninorm
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期刊

European Journal of Operational Research 封面图
European Journal of Operational Research
IF:
6
论文数:
2.2W
被引数:
6.4W

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