Title
Consensual Dynamics in Group Decision Making with Triangular Fuzzy Numbers
Abstract
In this paper we study the modelling of consensus reach- ing in a `soft' environment, i.e. when the individual testi- monies are expressed as fuzzy preference relations. Here consensus is meant as the degree to which most of the experts agree on the preferences associated to the most relevant alternatives. First of all we derive a degree of dissensus based on linguistic quantifiers and then we in- troduce a form of network dynamics in which the quanti- fiers are represented by scaling functions. Next, assuming that the decision makers can express their preferences in a more flexible way, i.e. by means of triangular fuzzy num- bers, we describe the iterative process of opinion chang- ing towards consensus via the gradient dynamics of a cost function expressed as a linear combination of a dis- sensus cost function and an inertial cost function. Finally, some computer simulations are carried out together with a short description of a case study in progress. keywords group decision making; consensus; fuzzy pref- erence relations; linguistic quantifiers; fuzzy numbers; gradient dynamics.
Year
DOI
Venue
2008
10.1109/HICSS.2008.100
Waikoloa, HI
Keywords
Field
DocType
fuzzy pref- erence relations,consensual dynamics,fuzzy preference relation,consensus,fuzzy numbers,linguistic quantifiers,triangular fuzzy numbers,group decision,triangular fuzzy num,fuzzy number,gradient dynamics.,inertial cost function,group decision making,consensus reach,cost function,fuzzy pref,sensus cost function,gradient dynamic,social sciences,network dynamics,iterative methods,fuzzy set theory,decision maker,computer simulation,number theory
Linear combination,Network dynamics,Iterative and incremental development,Iterative method,Computer science,Fuzzy logic,Fuzzy set,Theoretical computer science,Artificial intelligence,Fuzzy number,Management science,Group decision-making
Conference
ISSN
ISBN
Citations 
1530-1605
0-7695-3075-8
3
PageRank 
References 
Authors
0.41
14
4
Name
Order
Citations
PageRank
Mario Fedrizzi114829.78
Michele Fedrizzi234220.01
Ricardo Alberto Marques Pereira311515.00
Matteo Brunelli430317.62