The ordinal consistency is the usual weak transitivity condition that a logical and consistent person should use if he/she does not want to express inconsistent opinions, and therefore becomes the minimum requirement condition that a consistent reciprocal preference relation should verify. In this paper, we define and study the ordinal consistency of an incomplete reciprocal preference relation...

We show that for Multiplicative Exponential Linear Logic (without weakenings) the syntactical equivalence relation on proofs induced by cut-elimination coincides with the semantic equivalence relation on proofs induced by the multiset based relational model: one says that the interpretation in the model (or the semantics) is injective. We actually prove a stronger result: two cut-free proofs of...

The non-linear dissipation corresponding to a non-Gaussian thermal bath is introduced together with a multiplicative white noise source in the phenomenological Langevin description for the velocity of a particle moving in some potential landscape. Deriving the closed Kolmogorov’s equation for the joint probability distribution of the particle displacement and its velocity by use of functional m...

Immunogold double-labeling and ultrathin cryosections were used to compare the subcellular distribution of albumin, mannose 6-phosphate receptor (MPR), galactosyltransferase, and the lysosomal enzymes cathepsin D, beta-hexosaminidase, and alpha-glucosidase in Hep G2 cells. MPR and lysosomal enzymes were found throughout the stack of Golgi cisternae and in a trans-Golgi reticulum (TGR) of smooth...

Definition 1.1. For r, s ∈ R, we say that r divides s (written r|s) if there exists a t ∈ R such that s = tr. An element u ∈ R is a unit if it has a multiplicative inverse, i.e. if there exists an element v ∈ R such that uv = 1. The (multiplicative) group of units is denoted R∗. If r, s ∈ R, then r and s are associates if there exists a unit u ∈ R∗ such that r = us. In this case, s = u−1r, and ...

The purpose of this study has been concretized in terms of impact of mobileadvertising on the purchase decision of the consumer and aimed to answer toresearch questions: which is the underlying structure of criteria in mobileadvertising? And which criteria are important for consumers in evaluatingmobile advertising? A sample of consumers in Taiwan was surveyed and usingfuzzy judgment to determi...

Background: The controlled beating of cilia of the fallopian tube plays an important role in facilitating the meeting of gametes and subsequently transporting the fertilized egg to its implantation site. Rapid effects of progesterone on ciliary beat frequency have been reported in the fallopian tubes of cows, but the identity of the receptors mediating this non-genomic action of progesterone is...

Fuzzy sets theory might provide the flexibility needed to represent the uncertainty resulting from the lack of knowledge [1-3]. The fuzzy preference relation is a kind of representation of the information about provided by the decision maker [4-6]. It is an important research topic how to choose an optimal alternative or rank alternatives from a finite set of alternatives according to the fuzzy...