1] to [0, 1]. Introducing a construction similar to the one given in [Schweizer & Sklar 1983, Theorem 5.2.1] with the help of the so-called quasi-inverses, we state a rather general method to construct new t-norms from known t-norms using the pseudo-inverses...
The choice of t-norms and the dual t-conorms should, in principle, play a key role in the operation of a fuzzy control system, particularly the output of the system. The t-norms are expressed differently and appear to have different prop- erties. We show analytically, using a zero-orde...
There are some aggregation operators for HFSs using Frank, Hamacher, Einstein, Dombi, and algebraic t-norms and t-conorms [12, 29, 48,49,50,51,52]. It should be noted that, like any other new concept, HFNs have been introduced in response to the need for some real decision ...
A strict counter-example showing that left-continuity and union-preserving are not equivalent for interval-valued triangular norms is constructed.The concepts of increasing union-preserving and decreasing intersection-preserving for triangular norms are introduced.It is proved that a triangular norm is lef...
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These operators allow for an identity element lying anywhere in the unit interval, rather than at one or zero as in the case of t-norms and t-conorms respectively. Some properties of these uni-norms are discussed. Two particular families of uni-norms (R* and R/sub */) are introduced....
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摘要: By solving several functional equations we study some associative functions which can be uniquely determined by their values on some diagonal segments.关键词: 39B05 DOI: 10.1007/BF01855882 被引量: 19 年份: 1993 收藏 引用 批量引用 报错 分享 ...
the authors have investigated several different fuzzy t-norms, among others, algebraic and trigonometric ones, and the Hamacher product by substituting the standard “min” t-norm operation, in order to achieve better model fitting. In the present paper, the focus is on examining the general para...
We also characterize all operations with respect to which all such tribes are closed. This generalizes the characterizations obtained so far for other fundamental t-norms, e. g., for the product t-norm.This is a preview of subscription content, log in via an institution to check access. ...