کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
390325 | 661243 | 2011 | 14 صفحه PDF | دانلود رایگان |
In this paper we study a class of duality functions given by the solution of a system of functional equations related to the De Rham system. With the aid of a generalized dyadic representation system in the unit interval, we study a negation N which is a duality function for pairs of operators satisfying certain boundary conditions. New properties of N are investigated, including its singularity and fractal dimensions for several related sets. As an application we obtain an explicit expression for k-negations.
► We study a class of duality functions.
► A negation N that is a duality function for pairs of operators under boundary conditions is studied.
► Singularity of N and fractal dimensions for several related sets are investigated.
► An explicit expression for k-negations is obtained.
Journal: Fuzzy Sets and Systems - Volume 181, Issue 1, 16 October 2011, Pages 14–27