A Graded Quadrivalent Logic for Ordinal Preference Modelling: Loyola-Like Approach

Systems of ordinal fuzzy logic with application to preference modelling

Nonlinear Multi attribute Satisfaction Analysis (N-MUSA): Preference disaggregation approach to satisfaction

 Nonlinear MUSA is an extension of MUSA, which employs a derived approach to analyze customer satisfaction and its determinants. It is a preference disaggregation approach, widely welcomed by scholars since 2002, following the principles of ordinal regression analysis. N-MUSA as a goal programing model, evaluates the level of satisfaction among some groups including customers, employees, etcete...

Veblen hierarchy in the context of provability algebras

We study an extension of Japaridze’s polymodal logic GLP with transfinitely many modalities and develop a provability-algebraic ordinal notation system up to the ordinal Γ0. In the papers [1, 2] a new algebraic approach to the traditional prooftheoretic ordinal analysis was presented based on the concept of graded provability algebra. The graded provability algebra of a formal theory T is its L...

Decision-making under ordinal preferences and uncertainty

This paper investigates the problem of finding a preference relation on a set of acts from the knowledge of an ordering on events (subsets of states of the world) describing the decision-maker (DM)'s uncertainty and an ordering of consequences of acts, describing the DM's preferences. However, contrary to classical approaches to decision theory, we try to do it without resorting to any numerica...

UNCERTAINTY DATA CREATING INTERVAL-VALUED FUZZY RELATION IN DECISION MAKING MODEL WITH GENERAL PREFERENCE STRUCTURE

The paper introduces a new approach to preference structure, where from a weak preference relation derive the following relations:strict preference, indifference and incomparability, which by aggregations and negations are created and examined. We decomposing a preference relation into a strict preference, anindifference, and an incomparability relation.This approach allows one to quantify diff...