@misc{10481/64951,
year = {2012},
url = {http://hdl.handle.net/10481/64951},
abstract = {In this paper, we propose new aggregation functions
for the pairwise comparison of alternatives in fuzzy preference
modeling. More specifically, we introduce the concept of a grouping
function, i.e., a specific type of aggregation function that combines
two degrees of support (weak preference) into a degree of information or, say, a degree of comparability between two alternatives,
and we relate this new concept to that of incomparability. Grouping
functions of this type complement the existing concept of overlap
functions in a natural way, since the latter can be used to turn two
degrees of weak preference into a degree of indifference. We also
define the so-called generalized bientropic functions that allow for
a unified representation of overlap and grouping functions. Apart
from analyzing mathematical properties of these types of functions
and exploring relationships between them, we elaborate on their
use in fuzzy preference modeling and decision making. We present
an algorithm to elaborate on an alternative preference ranking
that penalizes those alternatives for which the expert is not sure of
his/her preference.},
organization = {Spanish Government

TIN2010-15055
TIN2011-28488},
organization = {APVV-0073-10},
organization = {P GACR P 402/11/0378},
publisher = {IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC},
keywords = {Decision making},
keywords = {Generalized bientropic function},
keywords = {Grouping function},
keywords = {Incomparability},
keywords = {Overlap function},
keywords = {Pairwise comparison},
keywords = {Preference relations},
title = {Grouping, Overlap, and Generalized Bientropic Functions for Fuzzy Modeling of Pairwise Comparisons},
doi = {10.1109/TFUZZ.2011.2173581},
author = {Bustince, Humberto and Herrera Triguero, Francisco},
}