In this contribution connections between input fuzzy relations R1, . . . ,Rn on a set X and the output fuzzy relationRF = F(R1, . . . ,Rn) are studied. F is a function of the form F : [0, 1]n → [0, 1] and RF is called an aggregated fuzzyrelation. In the literature the problem of preservation, by a function F, diverse types of properties of fuzzy relationsR1, . . . ,Rn is examined. Here, it is c...

in this paper‎, ‎we investigate the influence of some subgroups of sylow subgroups with semi cover-avoiding property and‎ ‎$mathcal{f}$-supplementation on the structure of finite groups and generalize a series of known results‎.

For a regular κ, a partial ordering P is said to have the κ Freese-Nation property (the κ-FN for short) if there is a mapping (κ-FN mapping) f : P → [P ] such that for any p, q ∈ P if p ≤ q then there is r ∈ f(p) ∩ f(q) such that p ≤ r ≤ q. Freese and Nation [5] used the א0-FN in a characterization of projective lattices and asked if this property alone already characterizes the projectiveness....

We start this article by rebuilding higher operads of weak higher transformations, and correct those in cite{Cambat}. As in cite{Cambat} we propose an operadic approach for weak higher $n$-transformations, for each $ninmathbb{N}$, where such weak higher $n$-transformations are seen as algebras for specific contractible higher operads. The last chapter of this article asserts that, up to precise...

A new condition called T condition is introduced for the first time and used to study a pair of isotopic loops. Under this condition, a loop in the pair is a WIPL if and only if the other loop is a WIPL. Furthermore, such WIPLs are isomorphic. The translation elements f and g of a CIPL with the T condition(such that its f, g-isotope is an automorphic inverse property loop) are found to be alter...

The synthesis, structure, and magnetic properties of lithium dibarium calcium oxide fluoride di-sulfide are reported. LaCa0.143 (4)O0.857 (4)F0.143 (4)Bi0.857 (4)S2 crystallizes in the tetra-gonal space group P4/nmm. The structure exhibits disorder of the Ca(2+) and Bi(3+) cations, and the O(2-) and F(-) anions. The structure is composed of a stacking of [(O,F)2La2] layers and double [(Bi,Ca)S2...

For a bounded domain Ω ⊂ Rn , n > 3, we use the notion of very weak solutions to obtain a new and large uniqueness class for solutions of the inhomogeneous Navier-Stokes system −∆u + u · ∇u +∇p = f , div u = k, u|∂Ω = g with u ∈ L q , q > n, and very general data classes for f , k, g such that u may have no differentiability property. For smooth data we get a large class of unique and regular s...

Abstract In this paper, we investigate the propagation of weak representation property (WRP) to an independently enlarged filtration. More precisely, consider $${\mathbb {F}}$$ F -semimartingale X possessing WRP with respect and {H}}$$ H Y . Assuming that are independent, show {G}}$$ ...

We consider bifunctions F : C ×C → R where C is an arbitrary subset of a Banach space. We show that under weak assumptions, monotone bifunctions are locally bounded in the interior of their domain. As an immediate corollary, we obtain the corresponding property for monotone operators. Also, we show that in contrast to maximal monotone operators, monotone bifunctions (maximal or not maximal) can...