Fuzzy strict preference and social choice
نویسندگان
چکیده
In this paper we generalize some classical factorizations of a fuzzy relation into a symmetric component (indifference) and an asymmetric and regular component (regular fuzzy strict preference). From the above notions, we establish two properties of any regular fuzzy strict preference of a max-∗-transitive fuzzy relation, which are then used to obtain new fuzzy versions of Gibbard’s oligarchy theorem and Arrow’s impossibility theorem. © 2005 Elsevier B.V. All rights reserved.
منابع مشابه
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...
متن کاملInterval valued strict preference with Zadeh triples
Preference modelling and choice theory are common to many di erent areas including operational research, economics, arti cial intelligence and social choice theory. We consider \vague preferences" and introduce a new technique to model this vagueness with the aim of making a choice at the nal stage. Our basic tools of modelling will be fuzzy relations and interval valued fuzzy sets. Speci cally...
متن کاملTowards Group Agreement : the Significance of Preference Analysis
It is well known that strict preferences often prevent a group from arriving at a group decision. Indifference on the other hand can be a powerful tool as it represents flexibility in a group member’s position, thus potentially making room for negotiation on that particular alternative. Preference and indifference however are mutually exclusive – at least in classical preference models and stru...
متن کاملOn the manipulability of the fuzzy social choice functions
In the social decision making context, a manipulator attempts to change the social choice in his favor by misrepresenting his preferences. Gibbard and Satterthwaite [7,10] established independently that a strategic manipulation can be observed when using any non-dictatorial voting choice procedure. In this paper, we are interested in the manipulation of the social choice when individuals reveal...
متن کاملTransitivity of fuzzy strict preference relations in absence of incomparability
The aim of this work is to study an essential property in the framework of fuzzy preference structures, which is the transitivity. In particular, we discuss the relationship between the transitivity of a fuzzy large preference relation R and the transitivity of the fuzzy strict preference relation P obtained from R when every pair of elements can be compared. We consider some of the most import...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Fuzzy Sets and Systems
دوره 155 شماره
صفحات -
تاریخ انتشار 2005