Journal of Mahani Mathematical Research
Volume:8 Issue: 2, Summer and Autumn 2019

We investigate possible extensions of various types of continuity of aggregation functionsto their super- and sub-additive transformations. More specically, we examine liftsof classical, uniform, Lipschitz and Holder continuities and dierentiability. The classical,uniform, and Lipschitz continuities turn out to be preserved by super- and sub-additivetransformations (albeit for uniform continuity and the super-additive case we prove itonly in dimension one), while the Holder continuity and dierentiability are not.

In this paper we investigate wavelet-finite difference method for solving two-dimensional model of drug release in the cardiovascular tissue from the stent. We use a double tensor product to rich a two dimensional wavelet. By using this two dimensional wavelet in space and finite difference method for variable t we convert the drug release model to a system of equations. The Lax-Richtmyer theorem shows that this system is convergent and we obtain a good approximation for a solution of our problem.

The aim of this paper is to introduce the notion of fuzzy points and weak filters in BE-algebras and investigate their properties. We generalize some results in commutative and selfdistributiveweak BE-algebras. Then we establish some relations among filters, fuzzy filters and weak filters in BE-algebras.