Over time, there have been refinements in the way that probability distributions are used for representing beliefs. Models which rely on single probability distnlnrti ons depict a complete ordering among the propositions of interest, yet human beliefs are sometimes not completely ordered. Non-singleton sets of probability distributions can represent partially ordered beliefs. Convex sets are pa...

In this paper we examine compensation schemes that prevent a threat of secession by all country’s regions and in the same time provide no incentives for citizens’ migration within the country. We prove that, under quite general assumptions on the distribution of citizens’ preferences, there exist transfer schemes that are both secession-proof and migration-proof. Moreover, we show that these co...

Partial actions of groups appeared independently in various areas of mathematics, in particular, in the study of operator algebras. The formal definition of this concept was given by Exel in 1998 [1]. Later in 2003, Abadie [2] introduced the notion of enveloping action and found that any partial action possesses an enveloping action. The study of partial actions on arbitrary rings was initiated...

We present a multi-objective evolutionary algorithm to exploit a medium-sized fuzzy outranking relation to derive a partial order of classes of alternatives (we call it RP-NSGA-II). To measure the performance of RP-NSGA-II, we present an empirical study over a set of simulated multi-criteria ranking problems. The result of this study shows that RP-NSGA-II can effectively exploit a medium-sized ...

This paper presents a multiple criteria decision support approach in order to build a ranking and suggest a best choice 2 on a set of alternatives. The partial evaluations of the alternatives on the points of view can be fuzzy numbers. The aggregation is performed through the use of a fuzzy extension of the Choquet integral. We detail how to assess the coefficients of the aggregation operator b...

Coupled coincidence and fixed point problems have been in the focus of the research interest for last few years. The problem was introduced in fuzzy metric spaces only recently in 2011. In this paper we work out a coupled coincidence point theorem for a compatible pair of mappings in fuzzy metric spaces. The space endowed with a partial ordering. We use a combination of analytic and order theor...

As the problems of interest in large-scale science are ever more complex or intertwined, scientists can benefit from machinery to manage hypotheses and their interconnection in the context of a large-scale research project. A partial order is assumed to model hypothesis interconnectivity, meaning that hypotheses may be ‘based on or equal to’ one another. Then we investigate lattices as a mathem...