Results 1  10
of
27
Application of the Choquet integral in multicriteria decision making
 Fuzzy measures and integrals
, 2000
"... In this paper, we introduce the Choquet integral as a general tool for dealing with multiple criteria decision making. After a theoretical exposition giving the fundamental basis of the methodology, practical problems are addressed, in particular the problem of determining the fuzzy measure. We give ..."
Abstract

Cited by 30 (3 self)
 Add to MetaCart
(Show Context)
In this paper, we introduce the Choquet integral as a general tool for dealing with multiple criteria decision making. After a theoretical exposition giving the fundamental basis of the methodology, practical problems are addressed, in particular the problem of determining the fuzzy measure. We give an example of application, with two different approaches, together with their comparison. 1
The Choquet integral as a linear interpolator
 In 10th Int. Conf. on Information Processing and Management of Uncertainty in KnowledgeBased Systems (IPMU 2004
, 2004
"... We show that the Choquet integral is the unique linear interpolator between vertices of the [0, 1] n hypercube, using the least possible number of vertices. Related results by Lovász and Singer are discussed, as well as other interpolations. We show that the Choquet integral for bicapacities can be ..."
Abstract

Cited by 19 (11 self)
 Add to MetaCart
(Show Context)
We show that the Choquet integral is the unique linear interpolator between vertices of the [0, 1] n hypercube, using the least possible number of vertices. Related results by Lovász and Singer are discussed, as well as other interpolations. We show that the Choquet integral for bicapacities can be also casted into this framework. Lastly, we discuss the case of Sugeno integral.
Fuzzy integral for classification and feature extraction
 Fuzzy Measures and Integrals:Theory and Applications
, 2000
"... We describe in this paper the use of fuzzy integral in problems of supervised classification. The approach, which can be viewed as a information fusion model, is embedded into the framework of fuzzy pattern matching. Results on various data set are given, with comparisons. Lastly, the problem of fea ..."
Abstract

Cited by 15 (3 self)
 Add to MetaCart
(Show Context)
We describe in this paper the use of fuzzy integral in problems of supervised classification. The approach, which can be viewed as a information fusion model, is embedded into the framework of fuzzy pattern matching. Results on various data set are given, with comparisons. Lastly, the problem of feature extraction is addressed. 1
Subjective evaluation of discomfort in sitting position,” Fuzzy Optim
 Decision Making
, 2002
"... We study the modelling of the subjective sensation of discomfort for subjects seated during a long time, in terms of local discomforts. The methodology uses fuzzy measures and integrals in a multicriteria decision making perspective, which enables the modelling of complex interaction between variabl ..."
Abstract

Cited by 14 (9 self)
 Add to MetaCart
We study the modelling of the subjective sensation of discomfort for subjects seated during a long time, in terms of local discomforts. The methodology uses fuzzy measures and integrals in a multicriteria decision making perspective, which enables the modelling of complex interaction between variables. Results of the experiment are detailed, giving models with respect to different kinds of discomfort, and to different macrozones of the body.
Conjoint Measurement Tools for MCDM, A brief introduction
"... This paper offers a brief and nontechnical introduction to the use of conjoint measurement in multiple criteria decision making. The emphasis is on the, central, additive value function model. We outline its axiomatic foundations and present various possible assessment techniques to implement it. So ..."
Abstract

Cited by 2 (0 self)
 Add to MetaCart
(Show Context)
This paper offers a brief and nontechnical introduction to the use of conjoint measurement in multiple criteria decision making. The emphasis is on the, central, additive value function model. We outline its axiomatic foundations and present various possible assessment techniques to implement it. Some extensions of this model, e.g. nonadditive models or models tolerating intransitive preferences are then briefly reviewed.
Sewer asset management: fusion of performance indicators into decision criteria
 Pi08 – Performance Assessment of Urban Infrastructure Services
, 2008
"... Sewer asset management: fusion of performance indicators into decision criteria. ..."
Abstract

Cited by 2 (2 self)
 Add to MetaCart
Sewer asset management: fusion of performance indicators into decision criteria.
Modeling Soft Conditions with Unequal Importance in Fuzzy Databases based on the Vector pnorm
 in Proc. of the IPMU Malaga
, 2008
"... In this paper a modeling of soft selection conditions with preferences in fuzzy databases is proposed based on the vector pnorm operator. We outline the semantics of the compound query when the selection conditions are ANDed and ORed for increasing values of the parameter p. ..."
Abstract

Cited by 1 (1 self)
 Add to MetaCart
(Show Context)
In this paper a modeling of soft selection conditions with preferences in fuzzy databases is proposed based on the vector pnorm operator. We outline the semantics of the compound query when the selection conditions are ANDed and ORed for increasing values of the parameter p.
Aggregation on bipolar scales, in
 Schmidt (Eds.): Theory and Applications of Relational Structures as Knowledge Instruments II
, 2006
"... Abstract. The paper addresses the problem of extending aggregation operators typically defined on [0, 1] to the symmetric interval [−1, 1], where the “0 ” value plays a particular role (neutral value). We distinguish the cases where aggregation operators are associative or not. In the former case, ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
(Show Context)
Abstract. The paper addresses the problem of extending aggregation operators typically defined on [0, 1] to the symmetric interval [−1, 1], where the “0 ” value plays a particular role (neutral value). We distinguish the cases where aggregation operators are associative or not. In the former case, the “0 ” value may play the role of neutral or absorbant element, leading to pseudoaddition and pseudomultiplication. We address also in this category the special case of minimum and maximum defined on some finite ordinal scale. In the latter case, we find that a general class of extended operators can be defined using an interpolation approach, supposing the value of the aggregation to be known for ternary vectors. 1
Extension of some Voting Systems to the Field of Gradual Preferences
"... Summary. In the classical theory of social choice, there exist many voting procedures for determining a collective preference on a set of alternatives. The simplest situation happens when a group of individuals has to choose between two alternatives. In this context, some voting procedures such as ..."
Abstract

Cited by 1 (1 self)
 Add to MetaCart
(Show Context)
Summary. In the classical theory of social choice, there exist many voting procedures for determining a collective preference on a set of alternatives. The simplest situation happens when a group of individuals has to choose between two alternatives. In this context, some voting procedures such as simple and absolute special majorities are frequently used. However, these voting procedures do not take into account the intensity with which individuals prefer one alternative to the other. In order to consider this situation, one possibility is to allow individuals showing their preferences through values located between 0 and 1. In this case, the collective preference can be obtained by means of an aggregation operator. One of the most important matter in this context is how to choose such aggregation operator. When we consider the class of OWA operators, it is necessary to determine the associated weights. In this contribution we survey several methods for obtaining the OWA operator weights. We pay special attention to the way the weights are chosen, regarding the concrete voting system we want to obtain when individuals do not grade their preferences between the alternatives. 1