Pseudo-MTL algebras or weak pseudo-BL algebras are non-commutative fuzzy structures which arise from pseudo-t-norms, namely, pseudo-BL algebras without the pseudo-divisibility condition. The aim of this paper is to investigate the properties of pseudo-BL algebras that also hold for pseudoMTL algebras. We will also study some classes of pseudo-MTL algebras such as good, local and Archimedean pse...

In this paper, we consider different issues related to Archimedean copulae and positive dependence. In the first part, we characterize Archimedean copulae that possess positive dependence properties such as multivariate total positivity of order 2 ðMTP2Þ and conditionally increasingness in sequence. In the second part, we investigate conditions for exchangeable binary sequences to admit an Arch...

a new algorithm for classification of dmus to efficient and inefficient units in data envelopment analysis is presented. this algorithm uses the non-archimedean charnes-cooper-rhodes[1] (ccr) model. also, it applies an assurance value for the non-archimedean                          using only simple computations on inputs and outputs of dmus (see [18]). the convergence and efficiency of the ne...

Ah&act-The tem~ratu~-de~ndent thermal expansivities of melts along the join ano~hite-diopside have been determined on glassy and liquid samples using a combination of calorimetry, dilatometry, and Pt double bob Archimedean densitometry. Supercooled liquid volumes and molar thermal expansivities were determined using scanning calorimetric and dilatometric measurements of properties in the glass ...

We prove that, for any fixed base x ≥ 2 and sufficiently large prime q, no perfect q-th powers can be written with 3 or 4 digits 1 in base x. This is a particular instance of rather more general results, whose proofs follow from a combination of refined lower bounds for linear forms in Archimedean and non-Archimedean logarithms.

A notion of completeness and completion suitable for use in the absence of countable choice is developed. This encompasses the construction of the real numbers as well as the completion of an arbitrary metric space. The real numbers are characterized as a complete archimedean Heyting …eld, a terminal object in the category of archimedean Heyting …elds.

A non-Archimedean analog of the classical Big Picard Theorem, which says that a holomorphic map from the punctured disc to a Riemann surface of hyperbolic type extends accross the puncture, is proven using Berkovich’s theory of non-Archimedean analytic spaces.

Zhang [Zha14] proved the global Gan–Gross–Prasad conjecture for U(n+1)×U(n) under some local conditions. One of the conditions is that the unitary groups are split at the archimedean places. We remove this assumption at the archimedean places in this paper.

In this paper the Archimedean property of t-norms on the lattice L is investigated, where L is the underlying lattice of interval-valued fuzzy set theory (Sambuc, 1975) and intuitionistic fuzzy set theory (Atanassov, 1983). We discuss also two additional variations on this property: the weak and strong Archimedean property.

We begin with the same setup as before: Let x be a Heegner point on X0(N), let c be the divisor (x)− (∞), and let d be the divisor (x)− (0). We need to compute the Néron height pairing 〈c, Tmc〉 = 〈c, Tmd〉. We have seen that this global height pairing decomposes into a sum of local height pairings. Andrew computed the local height pairings at the archimedean places two weeks ago; our goal will b...