The paper proposes a novel fuzzy system structure to enhance the performance of fuzzy neural network systems. The structure of enhanced fuzzy system (EFS) is to decompose each fuzzy variable into fuzzy subsystems called component fuzzy systems to act as type 2 fuzzy, and each component fuzzy system is...

In this paper a weaker kind of transitive property for interval-valued fuzzy relations (IVFRs) is introduced. It is called ’only comparable’ T-transitivity because it relaxes the need that all intervals must be comparable, by just the need of having T-transitive cycles only for comparable intervals....

Identifying suspicious financial transactions and linking relevant records is an important data related problem. An appropriate identification may improve fraud detec-tion and international security. The main problems in this linking process are the missing data, errors in the entries or out of date...

Hesitant fuzzy sets are an extension of ordinary fuzzy sets. They are composed of dual hesitant fuzzy sets, interval valued hesitant fuzzy sets, generalized hesitant fuzzy sets, hesitant fuzzy linguistic term sets, and triangular fuzzy hesitant fuzzy sets. Multiexperts evaluations are integrated by aggregation...

This paper develops a PI-like interval type-2 (IT2) fuzzy maximum power point tracking (MPPT) control method for a class of wind power generation and battery charging systems with DC/DC buck converters. After the brief model descriptions of the wind power turbine, generator and DC/DC buck converter,...

Interval-Valued Fuzzy Sets handle uncertainty and vagueness effectively. These features are particularly useful for clustering. In this paper it is showed the utility of Interval-Valued Fuzzy Sets for clustering with no accurate information. An easy method for clustering is proposed by generating transitive...

Here we study the notions of lattice-valued finite state machine and lattice-valued fuzzy transformation semigroup when the lattice consists of all the closed subintervals contained in [0, 1]. So, we can apply techniques of interval-valued fuzzy sets to fuzzy automata. In particular, we prove that Atanassov’s...

We state a problem concerning how to make an effective and proper decision in the presence of data incompleteness. As an example we consider a medical diagnostic system where the problem of missing data is commonly encountered. We propose and evaluate an approach that makes it possible to reduce the...

Type – II fuzzy number is introduced in decision mak-ing analysis as a concept that is capable to effectively deal with uncertainty in the information about a deci-sion. As type – II fuzzy number is represented by possi-bility distribution, it is hard to determine which type – II fuzzy number is greater...

Inverse reinforcement learning is tried to search a reward function based on Markov Decision Process. In the IRL topics, experts produce some good traces to make agents learn and adjust the reward function. But the function is difficult to set in some complicate problems. In this paper, Inverse Reinforcement...

Digital images are generally created as discrete measurements of light, as performed by dedicated sensors. Consequently, each pixel contains a discrete approximation of the light inciding in a sensor element. The nature of this measurement implies certain uncertainty due to discretization matters. In...

Global real estate investments have been one of the popular investment areas since developments in trans-portation vehicles among countries, significant reduc-tion in travelling costs, and suitable legal arrangements for purchasing real estates in a foreign country have made it attractive. This investment...

In this work we construct linear orders between pairs of intervals by using aggregation functions. We apply these orders in a decision-making problem where the experts provide their opinions by means of interval-valued fuzzy sets.

An approach to construct a new classifier called an intuitionistic fuzzy decision tree is presented. Well known benchmark data is used to analyze the performance of the classifier. The results are compared to some other popular classification algorithms. Finally, the classifier behavior is verified while...

In this work we propose an objective function to obtain an interval-valued fuzzy clustering. After the process of optimization we obtain an interval-valued fuzzy partition in which the length of the intervals depends on the position of the points with respect of the clusters.

The present research is a consequent step in an ongoing research of a novel approach for decision support, called InterCriteria Analysis, which aims at identification of specific correlations between criteria in a decision making processes, using the concepts of intuitionistic fuzziness and index matrices....

In this paper we present a new class of fuzzy sets, paired fuzzy sets, that tries to overcome any conflict between families of fuzzy sets that share a main characteristic: that they are generated from two basic opposite fuzzy sets. Hence, the first issue is to formalize the notion of opposition, that...

In this paper, we introduce Interpolative Boolean alge-bra (IBA) as a suitable algebra for intuitionistic fuzzy sets (IFSs). IBA is [0,1]-valued realization of Boolean algebra, consistent with Boolean axioms and theorems. IFS theory takes into account both membership and non-membership function, so it...

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...

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.

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...