The aim of this paper is to study the properties of t-cut set, strong t-cut set, t-quasi-cut set, strong t-quasi-cut set and ∈ ∨q-cut set of a fuzzy set μ. For any intuitionistic fuzzy A =< μA, νA > and α, β ∈ [0, 1], we define and study the properties of upper (α, β) cut setA(α,β), strong upper (α, β) cut setA(α, β) ̇ , lower (α, β) cut set A, strong lower (α, β) cut set A (α, β) ̇ , upper (α, β...

This paper considers the case for formalising aspects of intelligent tutoring systems in order to derive more reliable implementations, as opposed to the present use of informal theories to build experimental systems which are then studied empirically. Some recent work in theoretical AI is suggested as a possible source for the elements of a 'theory of ITS'. I n t r o d u c t i o n The engineer...

allergic asthma is a complex and chronic inflammatory airway disease. interleukin-17 is a pro-inflammatory cytokine which plays critical role in the pathogenesis of allergic asthma. it has been reported that β-arrestin2 regulated the development of allergic asthma at a proximal step in the inflammatory cascade. in this study, the influence of β-arrestin2 on interleukin-17 production and express...

We show that operators on n×n matrices which are representable in the form T (X) = ∑` i=1 aiXbi (for ai and bi n×n matrices) and are k-positive for k = [ √ `] must be completely positive. As a consequence, elementary operators on a C*-algebra with minimal length ` which are k-positive for k = [ √ `] must be completely positive. For A a C*-algebra, an operator T :A→ A is called an elementary ope...

Various results and techniques, such as the Bohl-Perron theorem, a priori estimates of solutions, M-matrices matrix measure, are applied to obtain new explicit exponential stability conditions for system vector functional differential equationsx˙i(t)=Ai(t)xi(hi(t))+∑j=1n∑k=1mijBijk(t)xj(hijk(t))+∑j=1n∫gij(t)tKij(t,s)xj(s)ds,i=1,…,n. Here xi unknown vector-functions, Ai,Bijk,Kij functions, hi,hi...

Let T be a topos. Let Ki = [Ai ui → Bi] (for i = 1, 2, 3) be a complex of commutative groups of T with Ai in degree 1 and Bi in degree 0. We define the geometrical notions of extension of K1 by K3 and of biextension of (K1, K2) by K3. These two notions generalize to complexes with two entries the classical notions of extension and biextension of commutative groups of T. We then apply the geomet...

Background: Pregnancy and delivery are considered as pleasant physiological phenomena. This period, however, sometimes leads to variable mood states in women and makes them more sensitive to psychological stimuli and problems. Objectives: The present study aimed to investigate the role of breastfeeding, type of delivery, contraceptive method, planned pregnancy, and history of infertility on th...