In order to to predict regime duration in a given chaotic system, for a set of output prototypes are available, we propose to use a clustering technique for the definition of classes of regime duration, which are then used by a chosen classifier. In this way, the exact boundaries between classes are...

Neuro-fuzzy networks revealed their proficiency in learning from data, while offering a transparent and somehow interpretable rule-based model. Recent research focused either on the interpretability of the chosen model or on the system performance. Regarding the interpretability, here an index to control...

Let I = [a, b] be a real compact interval and ƒ : I I a continuous function. De ne Kc([a, b]) the class of all non empty compact subinterval of [a, b] and let the natural extension of ƒ to Kc([a, b]) , that is to say, (J) = ƒ(J) for all J ([a, b]). Also, let c([a, b]) the class of all fuzzy-intervals...

In current literature, the degrading performances of iris recognition systems is put in user’s responsibility (Biometric Menagerie-BM), or explained through a va-gue mix of time-related changes in biometric pattern, its presentation and the acquisition sensor (Template Age-ing-TA). Actually, BM and TA...

Facilitating tasks such as image search is one of the goals of image annotation methods that automatically assign keywords to images. In order to achieve as accu-rate annotation on object level as possible, and to reduce negative influence of misclassified objects on the infer-ence of scenes, a knowledge...

Many physical theories accurately predict which events are possible and which are not, or – in situations where probabilistic (e.g., quantum) effects are important – predict the probabilities of different possible outcomes. At first glance, it may seem that this probabilistic information is all we need....

In this paper, we introduce the concept of interval pseudo-homegeneous uninorms. We extend the concept of pseudo-homogeneity of specific functions for interval pseudo-homogeneous functions. It is studied two cases of interval pseudo-homogeneous uninorms, that is, interval pseudo-homogeneous tnorms and...

Robotic-Assisted Minimally Invasive Surgery is a very challenging task. Many vision-based solutions attempt to estimate the force by measuring the surface deformation after contacting the surgical tool. However, visual uncertainty, due to tool occlusion, is a major concern and can highly affect the results’...

In this paper we provide a way to generate a class of weighted average operator from n-dimensional overlap functions and aggregation functions. These weighted average operators are used in an algorithm of a multiattribute group decision making problem based on decision matrix. An illustrative example...

This work aims at comparing two models of fuzzy distribution: Normal and Laplace, whenever they are inside the context of possibilistic mean-variance model described by Li et al. in [ ], where fuzzy Normal distribution is used. We propose to make a comparison using their model, but instead we apply fuzzy...

In this paper we study how to make joint extensions of stochastic orderings and interval orderings so as to extend methods for comparing random variables, from the point of view of their respective location or magnitude, to fuzzy random variables. The main idea is that the way fuzzy random variables...

This paper aims to introduce the concept of Gradual Complex Number (GCN) based on the existing definition of gradual numbers and to show that the algebraic and polar forms, as well as some algebraic properties, of complex numbers can be directly extended from the crisp case. Furthermore, a kind of distance...

Decision Support Systems are often used in the area of system evaluation. The quality of the output of such a system is only as good as the quality of the data that is used as input. Uncertainty on data, if not taken into account, can lead to evaluation results that are not representative. In this paper,...

Possibility is considered as a promising mathematical tool to represent that particular case of incomplete information given by a measurement result. A measurement result can be affected by systematic and random effects. The combination of random contributions in the possibility theory returns only approximated...

One of the main challenges of fuzzy community detection problems is to be able to measure the quality of a fuzzy partition. In this paper, we present an alternative way of measure the quality of a fuzzy community detection output based on n-dimensional grouping and overlapping functions that generalize...

Fuzzy sets and logic have been largely used for the treatment of the uncertainty, vagueness and ambiguity found in the modeling of real problems. However, there may exist also the case when there is uncertainty related to the membership functions to be used in the modeling of fuzzy sets and fuzzy numbers,...

We introduce the notion of f-inclusion, which is used to describe different kinds of subsethood relations between fuzzy sets by means of monotonic functions ƒ: [0, 1] [0, 1]. We show that these monotonic functions can be considered indexes of inclusion, since the greater the function considered, the...

Usually, the expected loss minimization criterion is used in order to look for the optimal model that expresses a certain response variable as a function of a collection of attributes. We generalize this criterion, in order to be able to deal also with those situations where a numerical loss function...

Resource-constrained project scheduling (RCPS) problem can be defined as a combinatorial problem of constructing a special plan for performing a number of precedence related tasks that have to be executed with the use of limited uncertain resources. In this paper we study the framework of a heuristic...

In this article we examine to necessary and sufficient optimality conditions for interval optimization problems. We introduce a new concept of stationary point for an interval-valued function based on the gH-derivative. We show the importance the this concept from a practical and computational point...

The notion of extensionality of a fuzzy relation w.r.t. a fuzzy equivalence was first introduced by H¨ohle and Blanchard. B elohl´avek introduced a similar definition of compatibility of a fuzzy relation w.r.t. a fuzzy equality. In [14] we generalized this notion to left compatibility, right compatibility...

The artificial neural networks (ANN) are a tool that can be used for object recognition and identification. However, there are certain limits when we may use ANN, and the number of the neurons is one of the major parameters during the implementation of the ANN. On the other hand, the bigger number of...

In this paper, a fuzzy mathematical programming model is proposed to address integrated production and routing planning decisions which considers uncertain produc-tion and inventory capacities, as well as production, setup, inventory holding and transport costs. This pro-posal considers flexible constraints...

Fuzzy c-means is a well known fuzzy clustering algorithm. It is an unsupervised clustering algorithm that permits us to build a fuzzy partition from data. The algorithm depends on a parameter m which corresponds to the degree of fuzziness of the solution. Large values of m will blur the classes and all...

During years of research, there have been defined 153 intuitionistic fuzzy implications. In the paper, it is checked which of these implications satisfy which axioms of the intuitionistic logic, whether as (classical) tautologies or as intuitionistic fuzzy tautologies. Some open problems, related to...

The concept of an intuitionistic fuzzy neighbourhood is introduced. This notion turns out to be more sensitive to variations in the different points of the universe compared to the standard neighbourhood definition of metric space. We apply the intuitionistic fuzzy neighbourhood to the extended modal...

Here a new intuitionistic fuzzy implication is constructed. Its relations with some forms of Klir and Yuan’s axioms are studied. Some open problems, related to the operations of intuitionistic fuzzy propositional calculus, are formulated.

We propose a new theoretical justification of implicative fuzzy associative memory. It is based on the notion of a fuzzy preorder operator. Moreover, we give a necessary and sufficient condition on input data that guarantees insensitivity to a certain type of noise. The latter is precisely characterized....

The growth of Location Based Services and Location Aware Services in indoor environments has focused the attention of the research community on indoor location systems, especially on those based on WLAN networks and Received Signal Strength (RSS). Despite the advances reached, the development of reliable,...

Craniofacial superimposition is a forensic identification method involving the overlay of a skull over the available ante-mortem photographs of a candidate missing person face and the subsequent analysis of their anatomical correspondence. Within this process, the decision making stage focuses on determining...

The introduction of Resource Description Framework (RDF) as a fundamental data representation format of Semantic Web is changing a way how data is stored on the Internet. The intrinsic features of RDF data, i.e., its interconnections and simplicity of expressing information as triples: two entities connected...

The availability of huge amount of biomedical literature over the Web offers a big opportunity to carry out useful information about published research results. Nevertheless, these information are often enclosed in unstructured documents stressing the need to define suitable framework to support execution...

Linguistic summarization offers novel ways of gaining insight into large amounts of data by extracting their main properties and representing them linguistically. Various linguistic summarization techniques have been proposed for data sets consisting of attribute-value pairs. However, many application...

Mining emerging patterns aims at contrasting data sets and identifying itemsets that characterise a data set by contrast to a reference data set, so as to capture and highlight their differences. This paper considers the case of emerging gradual patterns, to extract discriminant attribute co-variations....

Patent Retrieval is a branch of Information Retrieval (IR) aiming to support people in retrieving patents that satisfy their information needs. Patent Retrieval is a challenging task: usual queries involve a huge number of words - often entire patent claims; moreover the style of writing a patent is...

In this study, the stabilization for the Takagi-Sugeno (T-S) fuzzy discrete system with constrained controls is investigated. The derived stabilization conditions are based on the Lyapunov stability criterion with the piecewise quadratic Lyapunov function. The constrained control inputs are used to assess...