We analyse the representability of different classes of binary relations on a set by means of
suitable fuzzy numbers. In particular, we show that symmetric triangular fuzzy numbers can …

Traditionally, a preference on a set A of alternatives is modeled by a binary relation R on A
satisfying suitable axioms of pseudo-transitivity, such as the Ferrers condition (a R b and c R …

A NaP-preference (necessary and possible preference) on a set A is a pair
\left(\succsim^^_N\!,\,\succsim^^_P\!\right) of binary relations on A such that its necessary …

In this paper, our focus is to investigate the notion of irresolute topological vector spaces.
Irresolute topological vector spaces are defined by using semi open sets and irresolute …

In this paper, we have defined and studied a generalized form of topological vectorspaces
called s-topological vector spaces. s-topological vector spaces are defined by using semi …

We develop a theory of biased extensive measurement which allows us to prove the
existence of a ratio-scale without transitivity of indifference and with a property of homothetic …

We give a characterization of the non-empty binary relations≻ on a N*-set A such that there
exist two morphisms of N*-sets u1, u2: A→ R+ verifying u1⩽ u2 and x≻ y⇔ u1 (x)> u2 (y) …

[EN] We introduce a survey, including the historical back-ground, on different techniques that
have recently been issued in the search for a characterization of the representability of …

In this paper, we study the binary relations R on a nonempty N∗-set A which are h-
independent and h-positive (cf. the introduction below). They are called homothetic positive …

A topological vector space [7],[19] is a basic structure in topology in which a vector space X
over a field F (R or C) is endowed with a topology τ such that: the vector addition mapping m …