Many optimization models are limited with respect to the management of inconsistency between the optimization goals. As consequence, these models in many cases achieve results that are optimal for the model but not for the problem. In real world problems the optimization goals are usually partly conflicting....

This paper is concerned with the structure of the type-reduced set (TRS) of the continuous type-2 fuzzy set, in both its interval and generalised forms. In each case the TRS structure is approached by first investigating the discretised set. The TRS of a continuous interval type-2 fuzzy set is shown...

In this paper, it is done a reflection on the importance of popularizing Fuzzy Logic in Basic Education. Some clues for introducing few basic ideas in schools and high schools are shown. The relation between Fuzzy Logic and many different fields is also indicate.

In this work we use the Choquet integral as an aggregation function and we apply it in the fuzzy reasoning method of fuzzy rule-based classification systems. We study the behaviour of several fuzzy measures and we propose a genetic learning method of an appropriate fuzzy measure to model the interaction...

In this paper we continue to investigate the important parameter of global warming - a heat wave - that has no unique definition and represents the constellation of different factors such as e.g., heat index (temperature + humidity), time periods of excessive heat, etc. We find typical characteristics...

In this contribution we deal with the problem of doing computations with a Markov chain when the information about transition probabilities is expressed linguistically. This could be the case, for instance, if the process we are modeling is described by a human expert, for whom the use of linguistic...

In this paper, we show that fuzzy transform originally introduced for a transformation of complex spaces of functions to simpler ones can be used in the analysis of real stationary random processes. We will show that under certain assumptions the fuzzy transform may be used for an approximation of this...

The paper deals with the problem of resource allocation in a substrate network with DaVinci architecture. We present a methodology of decision making on network bandwidth allocation based on fuzzification and defuzzification principles and the expert knowledge database of fuzzy rules and we describe...

This paper proposes a filtering method for high-density impulse noise removal based on the fuzzy mathematical morphology using t-norms. The method is a two phased method. In the first phase, an impulse noise detector based on the fuzzy top-hat transforms is used to identify pixels which are likely to...

Possibilistic networks are important and efficient tools for reasoning under uncertainty. This paper proposes a new graphical model for decision making under uncertainty based on possibilistic networks. In possibilistic decision problems under uncertainty, available knowledge are expressed by means of...

This study examines and compares different Fuzzy Cognitive Map structures that researchers have pro-posed for developing Medical Decision Support Sys-tems. Fuzzy Cognitive Map is a soft computing tech-nique that have gained a good reputation in the last decade and it has been used successfully in different...

Traditional process monitoring techniques assume the normal operating conditions (NOC) to be distributed normally. However, for processes with more than one operating regime, building a single subspace model to monitor the whole process operation performance may not be efficient and will lead to high...

This paper deals with some dependencies between fuzzy connectives, on the pattern of laws in a classical propositional calculus, which allow to generate fuzzy implications. Fuzzy implications generated both by a triple: fuzzy conjunction, disjunction and negation, and by two fuzzy implications are considered....

The theory of MI-algebras (``Many Identities''-algebras) has been introduced by M. Holcapek and M. Stepnicka recently. These structures motivated by an algebraic formalizations of distinct arithmetics of fuzzy numbers, generalize the standard structures (monoids, groups, fields etc.) by employing a whole...

In this paper we develop spline based F-transforms by considering fuzzy partitions given by polynomial splines. We investigate approximation properties of such F-transforms and prove that using generalized fuzzy m-partition, which consists of basic functions of bandwidth m, allows us to approximate not...

Several interpretations can be given to the third truth value in three-valued logics. Here, we consider the case when it refers to the epistemic notion of contradictory, or both true and false at the same time. We study several paraconsistent three-valued logics that carry this concern and show that...

Monotonic relationship between input and output often is an inherent property of fuzzy systems. For example, for a cart-pole system, there is a gradual relationship between the pole angle and the cart velocity of the form: ``The more the pole deviates from the upright position, the higher velocity the...

In this work, we introduce sufficient and necessary conditions for a pair of fuzzy conjunctor and implication considered in a multi-adjoint frame under which the usual combinations of multi-adjoint sufficiency, possibility and necessity operators form either antitone or isotone Galois connections.

We propose an extension of choquistic regression from the case of binary to the case of ordinal classification. Choquistic regression itself has been introduced recently as a generalization of conventional logistic regression. The basic idea of this method is to replace the linear function of predictor...

In machine learning, monotone classification is concerned with a classification function to learn in order to guarantee a kind of monotonicity of the class with respect to attribute values. In this paper, we focus on rank discrimination measures to be used in decision tree induction, i.e., functions...

The rapid development of information technologies has created suitable environment for construction of eLearning systems. The pivotal point of those systems lies in web technologies. Due to those technologies eLearning leads to a number of im- provements in: delivery, access, distributed author- ity,...

Gradual itemsets of the form ``the more/less A, the more/less B'' summarise data through the description of their internal tendencies, identified as correlation between attribute values. This paper proposes to characterise gradual itemsets, enriching them with an additional clause introduced by the linguistic...

Traditional approaches for facilitating the learning process in risk analysis and management in software projects usually lack practical activities in solving real problems. This is basically due to time restrictions and the difficulty of simulating real scenarios where such risks occur. In this sense,...

This paper is a continuation of our previous works on geometric similarity measures between Atanassov's intuitionistic fuzzy sets (A-IFSs for short). We consider some traps of the straightforward approach in the case of A-ISs while similarity is understood as a dual concept of a distance. The difficulties...

We propose a conceptually new type of bipolar queries meant as those in which a required condition, to be necessarily satisfied, and desired condition, to be satisfied if possible, are included. In the new type of bipolar queries, termed compound bipolar queries, both the required and desired conditions...

Imprecise choices can be described using either a probabilistic or a fuzzy formalism. No relation between them has been studied so far. In this contribution we present a connection between the two formalisms that strongly makes use of fuzzy implication operators and t-norms. In this framework, Luce's...