We describe some ideas and results about the following problem: Given a set, a family of \preference relations" on the set, and a \priority" among those preference relations, which elements of the set are best? That is, which elements are most preferred by a consensus of the preference relations which takes account of their relative priority? The problem is posed in a deliberately general way, ...

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...

Quality function deployment (QFD) is a widely-used methodology for developing a design quality aimed at satisfying the customer and translating the customer’s demand into design targets. As QFD methodology is based on the voices of customers, it requires a group of individuals, or decision makers (DMs), to express their preferences. However, there can be a bottleneck since DMs may not have a pe...

This paper explores the implications of a simple and intuitive restriction on reference dependent preferences assuming the status quo serves as the reference point. The condition imposed rules out situations in which a decision maker has a choice between two prospects, selects one, subsequently changes her mind and selects the other – even if the change is costly. It is shown that a surprising ...

We consider properties of intuitionistic fuzzy preference relations. We study preservation of a preference relation by lattice operations, composition and some Atanassov’s operators like Fα,β , Pα,β , Qα,β , where α, β ∈ [0, 1]. We also define semi-properties of intuitionistic fuzzy relations, namely reflexivity, irreflexivity, connectedness, asymmetry, transitivity. Moreover, we study under wh...

It is a truth universally acknowledged that e-commerce platform users in search of an item that best suits their preferences may be o‚ered a lot of choices. An item may be characterised by many aŠributes, which can complicate the process. Here the classic approach in decision support systems to put weights on the importance of each aŠribute is not always helpful as users may €nd it hard to form...

Interval fuzzy preference relations that can well cope with the vagueness and uncertainty are commonly used by the decision maker. The most crucial issue is how to derive the interval priority vector from an interval fuzzy preference relation. This paper first analyzes the size of the interval priority weights. Then, two linear programming models are built, by which the interval priority weight...

Article history: Received 18 February 2014 Received in revised form 17 December 2014 Accepted 30 December 2014 Available online 10 January 2015

This study describes a consistency-based approach for multiperson decision-making (MPDM) in which decision-makers’ suggestions are expressed as incomplete interval-valued fuzzy preference relations. The presented utilizes Lukasiewicz’s t-norm conjunction with additive reciprocity to obtain comprehensive interval valued relations from each expert, and the transitive closure formula also produces...

The aim of this paper is to study the integration of multiplicative preference relation as a preference representation structure in fuzzy multipurpose decision-making problems. Assuming fuzzy multipurpose decision-making problems under di4erent preference representation structures (ordering, utilities and fuzzy preference relations) and using the fuzzy preference relations as uniform representa...