Search results for "fuzzy set"
showing 7 items of 197 documents
Multi-modal Image Registration Using Fuzzy Kernel Regression
2009
This paper presents a study aimed to the realization of a novel multiresolution registration framework. The transformation function is computed iteratively as a composition of local deformations determined by the maximization of mutual information. At each iteration, local transformations are joint together using fuzzy kernel regression. This technique represents the core of the mothod and it's formally described from a probabilistic perspective. It avoids blocking artifacts and allows to keep the final deformation spatially congruent and smooth. Both qualitative and quantitative experimental results show that this approach is equally effective for registering datasets acquired from both si…
Thriving Rough Sets: 10th Anniversary - Honoring Professor Zdzisław Pawlak's Life and Legacy & 35 Years of Rough Sets
2017
This special book is dedicated to the memory of Professor Zdzisław Pawlak, the father of rough set theory, in order to commemorate both the 10th anniversary of his passing and 35 years of rough set theory. The book consists of 20 chapters distributed into four sections, which focus in turn on a historical review of Professor Zdzisław Pawlak and rough set theory; a review of the theory of rough sets; the state of the art of rough set theory; and major developments in rough set based data mining approaches. Apart from Professor Pawlak’s contributions to rough set theory, other areas he was interested in are also included. Moreover, recent theoretical studies and advances in applications are a…
Fuzzy Methods and Approximate Reasoning in Geographical Information Systems
2014
This issue has been dedicated to the usage of fuzzy logic in the context of Geographical Information Systems (GIS) and were receveid the following papers whose contents are described below: - in the paper of A. Hofmann, S. Hoskova-Mayerova, and V. Talhofer, the authors use a GIS tool which is useful to study the influence of geographic and climatic factors on the terrain passability of armed forces and the Integrated Rescue System. - In the first paper of S. Sessa and F. Di Martino, the authors propose the usage of the well known Extended Gustafson-Kessel clustering method, encapsulated in a GIS tool, for detecting hotspots in spatial analysis. The data consist of geo-referenced patterns co…
A fuzzy approach to multidimensional material deprivation measurement: the case of foreigners living in Italy
2014
This paper provides a new approach to the measurement of multidimensional material deprivation, based on partial order theory and on fuzzy set measurement. The main feature of the methodology is that the information needed for the deprivation assessment is extracted directly from the relational structure of the dataset, avoiding any kind of scaling and not proper aggregation procedure, so as to respect the measurement level of the data. An empirical illustration, using data from a special EU-SILC survey on migrants in Italy, provides a new insight on the material deprivation of foreigners living in Italy
Type-2 intuitionistic fuzzy TODIM for intelligent decision-making under uncertainty and hesitancy
2022
AbstractThe classical TODIM considers the crisp numbers to handle the information. However, in a real-world applicative context, this information is bounded by noise and vagueness and hence uncertain. There are wide range of works in the literature which utilizes fuzzy sets to handle the uncertainty in the various dimensions. However, there is a constraint of hesitancy in such decision-making problems due to the involvement of various decision-makers. Also, in the TODIM method, decision-maker’s bounded rationality and psychological behavior are also taken into consideration which adds up the hesitation and considers the problem with higher dimension of uncertainty. There are various applica…
Ordered fuzzy rules generation based on incremental dataset
2021
This paper proposes a novel approach for building transparent knowledge-based systems by generating interpretable fuzzy rules that allow for present dependences between quantitative variables by accounting for uncertainty and the dynamics of their values. In the approach, IF-THEN rules are used to show the conditional relationship between the ordered fuzzy numbers, which contain additional information about the tendencies of variables' value changes. This paper elaborates an approach of mining ordered fuzzy rules from numerical data included in an incremental database. This approach develops the ability to record uncertainty and its change in the context of rapidly changing data. In additio…
On Some Vagaries of Vagueness and Information
2002
The presence of vagueness in scientific theories (in particular, to those related to and connected with the management of information) is briefly analyzed. We consider, firstly, the problem whether vague predicates can be adequately represented by existing formal theories. A negative answer to this question produces, as a by-product, the suggestion that a good semantics for fuzzy sets can be offered by the notion of “distance from idealized items”. Secondly, some questions connected with the adequacy of “theories of information” to the multifaceted informal notion of “information” suggest to afford this problem within an enlarged dynamical setting