We investigate a normative theory of incomplete preferences in the context of preliminary screening procedures. We introduce a theory of ranking in the presence of objectively incomparable marginal contributions (apples and oranges). Our theory recommends benchmarking, a method under which an...

We investigate a normative theory of incomplete preferences in the context of preliminary screening procedures. We introduce a theory of ranking in the presence of objectively incomparable marginal contributions (apples and oranges). Our theory recommends benchmarking, a method under which an...

Рассмотрены вопросы создания системы охраны территорий и объектов стратегического назначения. Предложены структура и способ построения такой системы,...

In this paper, the C̆ech fuzzy soft closure spaces are defined and their basic properties are studied. Closed (respectively, open) fuzzy soft sets is defined in C̆ech fuzzy-soft closure spaces. It has been shown that for each C̆ech fuzzy soft closure space there is an associated fuzzy soft...

We first present the concept of duality appearing in order theory, i.e. the notions of dual isomorphism and of Galois connection. Then, we describe two fundamental dualities, the duality extension/intention associated with a binary relation between two sets, and the duality between implicational...

Closure systems on a set S arises in many areas as relational databases, data-mining, formal concept analysis, artificial intelligence, logical programming or lattice theory. Implicational systems represent an efficient and convenient tool to deal with a closure system, and have been studied in...

Closure systems on a set S arises in many areas as relational databases, data-mining, formal concept analysis, artificial intelligence, logical programming or lattice theory. Implicational systems represents an efficient and convenient tool to deal with a closure system, and have been studied in...

We first present the concept of duality appearing in order theory, i.e. the notions of dual isomorphism and of Galois connection. Then we describe two fundamental dualities, the duality extension/intention associated with a binary relation between two sets, and the duality between implicational...

In this paper, we show that the correspondence discovered by Koshevoy ([18]) and Johnson and Dean ([15],[16]) between anti-exchange closure operators and path independent choice operators is a duality between two semilattices of such operators. Then we use this duality to obtain results...