Given a probability distribution of an output quantity of a model, it is generally not possible to infer a unique probability distribution of the uncertain input quantity. In this contribution, it is shown that by reverting back to the coarser framework of possibility theory this problem possesses a...

In many Artificial Intelligence problems an investigated object is considered as a set of its elements {ω1,...,ωt} and is characterized by properties of these elements and relations between them. These properties and relations may be set by predicates p1,..., pn. The problems appeared with...

The paper addresses a novel evolving functional fuzzy modeling algorithm using hyperboxes and min-max fuzzy granulation. Data space granulation is done as data are input, and adapted using expansion, reduction operations to encompass new information. A fuzzy rule is assigned to each hyperbox using Gaussian...

Traditional group decision making methods work under the assumption that experts must provide their preferences to a computational system after carrying out a thorough debate. Nevertheless, this is not natural since the mean where experts express their ideas and preferences is inside the debate. In this...

Evaluating each member's collaboration ability in an R\&D team is of vital importance for senior managers to improve the team performance for R&D activities. Due to the difference in knowledge and education background, each team member usually tends to use multi-granular hesitant fuzzy linguistic term...

Authors in this publication present the new approach to aircraft systems efficiency evaluation. The research station consists of two units: efficiency evaluation unit and flight simulation unit. The efficiency is evaluated with use of fuzzy inference systems designed in Matlab/Simulink Software. Simulations...

By a T-relational variant of a category K we understand a Kleisli category K_T of a category K with respect to a monad T. Using explicit definitions we equivalently describe several T-relational examples of categories with fuzzy type objects, where T are apropriate monads in these categories.

We focus on the aggregation of partial T-indistinguishability operators. We provide a characterization of those functions that allow to merge a collection of partial T-indistinguishability operators into a new one in terms of (+, max)-tuples. Moreover, we see that this is equivalent to the characterization...

Supply chain management process includes many activities to transform raw materials into final products considering with customer satisfaction. Order fulfillment process is one of them and plays a critical role in ensuring customer satisfaction. This study proposes uncertain dynamic intuitionistic decision...

Many practical problems necessitate faster and faster computations. Simple physical estimates show that eventually, to move beyond a limit caused by the speed of light restrictions on communication speed, we will need to use quantum -- or, more generally, reversible -- computing. Thus, we need to be...

In this paper, the concept of minimal intuitionistic dominating vertex subset of intuitionistic fuzzy graph was considered, and on its basis the notion of a domination set as an invariant of the intuitionistic fuzzy graph was introduced. A method and an algorithm for finding all minimal intuitionistic...

The three dimensional extensions of ordinary fuzzy sets such as intuitionistic fuzzy sets of type-2 (IFS2) or Pythagorean fuzzy sets (PFS), and neutrosophic sets (NS) aim at collecting experts’ judgments more informatively and explicitly. In the literature, generalized three-dimensional spherical fuzzy...

This study introduces a new method to the family of fuzzy k-nearest neighbor (FKNN) classifiers that is based on the use of power means in the calculation of multi-local means that are used in classification of samples. The proposed new classifier is called multi-local power means fuzzy k-nearest neighbor...

In this work symmetric positive definite matrices with non-negative entries will be characterized by using the Yager's family of t-norms. It can always be assumed that such an n X n matrix corresponds to a reflexive and symmetric fuzzy relation A on a set of cardinality n and then A is positive definite...

We generalize the concept of moderate deviation functions D : [0,1]2 → R into (k + 1)- dimensional moderate deviation function D(k) : [0,1]k X [0,1] → R and propose a D(k)-based method for constructing idempotent aggregation functions. More, to enable to introduce weights of groups of criteria...

The academic community cannot ignore the growing opportunities offered by artificial intelligence. Especially relevant are developments in this ares against the background of growing challenges and threats arising from the use of the digital environment by actors of psychological warfare – by strategists...

Functional equations involving aggregation functions play an important role in fuzzy sets and fuzzy logic theory. The cross-migrative equation is a weaker form of the classical commuting equation. This paper is devoted to exploring cross-migrative commutative aggregation functions with respect to Archimedean...

This study aims to increase the reliability of activity detection by using fuzzy logic extended Semantic Web technologies to Wireless Multimedia Sensor Networks (WMSNs). The proposed approach consists of three layers: the sensor layer, the data layer, and the Semantic Web layer. The sensor layer comprises...

Expressive speech modeling is a new trend in speech processing, including emotional speech synthesis and recognition. So far, emotion recognition from speech signal has been mainly achieved using supervised classifiers. However, clustering techniques seem well fitted to resolve such a problem, especially...

The paper presents the hybrid model of gene expression profiles reducing based on complex use of fuzzy inference system and clustering quality criteria. The average of absolute values, the variance and Shannon entropy of the gene expression profiles were used as the input parameters of fuzzy inference...

Artificial Intelligence (AI) is part of our everyday life and has become one of the most outstanding and strategic technologies of the 21st century. Explainable AI (XAI in short) is expected to endow AI systems with explanation ability when interacting with humans. This paper describes how to provide...

This paper presents many expert fuzzy extensions of the Black-Litterman portfolio selection model. Black and Litterman identified two sources of information regarding the expected returns, and they combined these two sources of information in one expected return formula. The first source of information...

We propose a fuzzy confidence interval estimation based on the likelihood ratio. This ratio, often used in hypotheses testing seems to be an efficient tool for calculating confidence intervals since it is known to be general, and thus can be applied on any parameter. The strength of the defended procedure...

An augmented appraisal degree (AAD) has been conceived as a mathematical representation of the connotative meaning in an experience-based evaluation, which depends on a particular experience or knowledge. Aiming to improve the interpretability of computer predictions, we explore the use of AADs to represent...

One of the fundamental problems of modern physics is the problem of divergence: e.g., when we try to compute the overall energy of the electric field generated by a charged elementary particle, we get a physically meaningless infinite value. In this paper, we show that one way to avoid these infinities...

Nowadays, society often faces decision problems under uncertainty that hardly can manage by a single expert or a few of them because of their complexity. Under these conditions, large-scale group decision making (LS-GDM) problems are becoming more and more common. The decisions made on these types of...

The aggregation of compositional data vectors arises naturally in many fields of application. In particular, the weighted centroid is inherently linked to the process of mixing two or more compounds. However, as natural and simple as this process may be, the weighted centroid does not fit the standard...

Since their introduction in 1976, edit rules have been a standard tool in statistical analysis. Basically, edit rules are a compact representation of non-permitted combinations of values in a dataset. In this paper, we propose a technique to automatically find edit rules by use of the concept of T-dependence....

We consider orthogonality spaces subjected to the condition that gradual transitions between any two elements are possible. More precisely, given elements e and f, we require a homomorphism from the unit circle to the automorphism group to exist such that one of these automorphisms maps e to f, and any...

The problem of credit card fraud detection is approached by a semi-supervised classification task on a data stream. The DISSFCM algorithm is applied, which is based on Dynamic Incremental Semi-Supervised Fuzzy C-Means that processes data grouped in small-size chunks. Experimental results on a real-world...

The purpose of the present work is to use the concepts of reachability and obsrvability maps to provide a solution of a well-known characterization of fuzzy regular languages. In between, we associate two deterministic fuzzy automata with a given deterministic fuzzy automaton and show that the reachability...

This paper is towards the study of theory of fuzzy automata with fuzzy partitions. Specifically, we study the concept of the L-fuzzy partitioned automaton corresponding to a given L-fuzzy automaton. Further, we introduce the concept of a crisp-deterministic L-fuzzy automaton corresponding to the L-fuzzy...

The goal of this contribution is to propose LM-valued F-transforms, which are essentially the many-valued generalizations of the notion of lattice-valued F-transforms. Further, we associate the concepts of LM-valued fuzzy rough sets with LM-valued F-transforms. Moreover, we show that the notion of F-transforms...

The paper aims at studying the solvability of fuzzy relational equations where the input fuzzy sets may have undefined values. The appropriate operations dealing undefined values are taken from the algebras built in partial fuzzy logic, in particular, the Bochvar operations, Sobocinski operations, Kleene...

In this paper, we study relations between fuzzy implicators and some kinds of fuzzy conjunctors, in particular, quasi-copulas and copulas. We show that there is a duality be- tween the classes of all quasi-copulas and 1- Lipschitz fuzzy implicators. In addition, we introduce a construction method for...

The detection and analysis of sentiment in textual communication is a topic attracting attention in both academia and industry. In fact, thanks to the explosion of the Social Networks a wealth of information is produced every day. This huge amount of contents can be very helpful in assessing the general...

Unsolved roots of ``privacy paradox'' motivate researchers to extricate the underlying reasons of such phenomenon. In the field of privacy research, the majority of empirical studies lack the availability of the real data collected from the actual platform instead of data received from the experimental...

This paper deals with a novel Fault-Tolerant Control (FTC) strategy for non-linear systems without hardware redundancy in case of actuator and system component failures. These failures correspond to blocking or loss of effectiveness of an actuator, leakage of tank bottom and pipes which could lead to...

In this paper, we propose a novel activation function, namely, Interval Type-2 Fuzzy (IT2) Rectifying Unit (FRU), to improve the performance of the Deep Neural Networks (DNNs). The IT2-FRU can generate linear or sophisticated activation functions by simply tuning the size of the footprint of uncertainty...

The objective of this paper is to establish the relationship between fuzzy approximation operators and fuzzy transformation systems. We show that for each upper/lower fuzzy transformation system there exits a fuzzy approximation space induced by a fuzzy reflexive relation and vice-versa.

In this paper, we present a many-level version for the Pawlak - Dubois and Prade theory of rough approximation of fuzzy sets. Basing on the many-level upper and lower fuzzy rough approximation operators, we define the measure of rough approximation that in a certain sense characterizes the quality of...

It is well-known that the semantics of a given fuzzy logic can be formally axiomatized by means of a residuated poset. Based on a notion of dualizing (cyclic) element we introduce the notion of a Frobenius (Girard) poset. With this paper we hope to contribute to the theory of Frobenius posets and Girard...

In group decision making, the usage of linguistic information entails the requirement for computing with words, a methodology in which words from a natural language are the computational elements. Recently, a new approach based on a framework of granular computing has been applied to cope with linguistic...

With the rapid accumulation of rich media data on the Internet, this paper proposes a Multi-View Bayesian Personalized Ranking (MVBPR) recommendation model that combines visual and textual contents, along with uncertainty modeling in consumer preferences and in visual representation in forms of implicit...

Four-valued logics were developed from three-valued logics aiming at creating tools dealing with missing values and indeterminable values at the same time in computer science. In this paper, we are motivated by the formation of such four-valued logics and construct a new set of operations able to work...

The paper shows the possibility of applying the tool of non-additive measures and the belief functions theory to solving a number of problems of significance analysis and conflict of the political party positions. The study was performed on a database of online polls of parties in Germany before the...

In real applications, sometimes it is necessary to evaluate inner or external conflict of pieces of evidence. However, these numerical values cannot give us explanations why this conflict occurs. Thus, we need deeper analysis of available information. In the paper, we propose the clusterization of a...

We prove the categorically equivalence between the quasi-implicative-Boolean algebras and the quasi-m Boolean algebras, a generalization of the categorically equivalence between the implicative-Boolean algebras and the Boolean algebras.

This paper is a contribution to the study of two distinct kinds of modal logics for modeling uncertainty. Both approaches use logics with a two-layered syntax, but while one employs classical logic on both levels, the other involves a suitable system of fuzzy logic in the upper layer. We take two prominent...

The inhibition of new vessel creation, or anti-angiogenesis, has therapeutic interest. In this contribution, we introduce an automatic method to estimate objective indicators of new vessel creation. We use images of the chorioallantoic membrane of chicken embryos, some of which have been injected with...

Quadruple Conical Tank System (QCTS) is benchmark a laboratory setup for testing of various linear and nonlinear control algorithms for the multivariate control system. The multiple process conguration for multivariate input-output can be obtained from quadruple conical tank system. This article is concerned...

In this paper we show how `uncertainty of information' traditionally focuses mostly on `uncertainty' leaving `information' mostly as unravelled. We also try to explain why that is so, and we then provide suggestions on how to overcome this situation, in particular in work on applications involving information...

Most edge detection algorithms deal only with grayscale images, and the way of adapting them to use with RGB images is an open problem. In this work, we explore different ways of aggregating the color information of a RGB image for edges extraction, and this is made by means of well-known edge detection...

This work describes the development of a type 2 Fuzzy Inference System by using Genetic Programming for applications in time series forecasting. The resulting model, called GPFIS-Forecast+ is based on the GPFIS-Forecast created previously, which made use of Multigene Genetic Programming an provided good...

Generalize fuzzy operators for the framework of lattices is the main objective of many recent researches. Here we present a study about how to define lattice-valued (U,N)-implications i.e. the class of implications generated from a uninorm U and a fuzzy negation N. Moreover, we discuss about its extension...

Personalized linguistic summaries are developed with the use of protoforms in the sense of Yager and Kacprzyk. We discuss the construction and usefulness of such patient-dependent and disease-state-dependent linguistic summaries that may be examplified as `Most outgoing calls in mania state (disease...

We present a new method for attribute selection for models with attribute values expressed via Atanassov's intuitionistic fuzzy sets (IFSs, for short). The three term representation of the IFSs makes it possible to construct a transparent and justified function that enables to select attributes...

Combined Compromise Solution (COCOSO) method is a combination of different aggregation strategies that aim to find final scores of the alternatives with respect to determined criteria based on decision makers’ judgements. This method is extension of simple additive weighting and exponentially weighted...

In this paper we investigate two generalizations, in fuzzy logic, of classical scheme of reduction to absurdity. We compare them with two possible generalizations of classical hypothetical syllogism (in fuzzy logic) and we show that generalized hypothetical syllogism is more general. We present new results...

Cut-based strong fuzzy partitions (SFP) are characterized by cuts, i.e. points in the universe of discourse where the non-zero membership degrees of the fuzzy sets in the partition is 0.5. Cuts are useful to identify the most representative regions for the fuzzy sets involved in a SFP but pose loose...

This work studies typical hesitant fuzzy sets (THFS) which can be used in group decision making (GDM) due to the possibility of more flexible values for expressions given by a group of decision makers, instead of using only one value resulting from aggregation expressing their preferences. Besides,...

The performance of law offices can be comparatively measured by multicriteria decision making methods. Linguistic assessments can be used in this process rather than exact numerical evaluations. The performance evaluation is generally realized in a vague and imprecise environment. Fuzzy set theory is...

The expression of a general opinion on a product or service may sometimes be broken down into different sub-opinions on the different aspects which characterise such a product or service. Sometimes, the general opinion about a product does not have to be the average of the other sub-opinions, but other...

The rising volume of data and its high complexity has brought the need of developing increasingly efficient knowledge extraction techniques, which demands efficiency both in computational cost and in accuracy. Most of problems that are handled by these techniques has complex information to be identified....

Due to the lack of quantum hardware, quantum simulation (QS) is the most common method to study quantum computing. Even so, simulators and simulations should be properly built to use the maxim computational power possible. This work focuses on the main problem related to the memory accesses, representing...

R-implications are studied on Ln(U) considering the conditions under which main properties are preserved, and their representability from U to Ln(U) are also presented. Some results in the class of n-dimensional R-implications obtained from t-representable norms on Ln(U) are discussed.

Fuzzy Rule Based Classification Systems (FRBCSs) are widely used tools in classification problems. An important aspect in the design of a FRBCS is the number of fuzzy labels per variable (granularity level), which significantly influences the performance of the fuzzy system. Another relevant issue to...

A new resampling approach for simulating bootstrapped samples of fuzzy numbers is proposed. The secondary samples consist of fuzzy numbers which preserve the canonical representation (i.e., the value and ambiguity) of fuzzy numbers belonging to the primary sample, although may differ from the initial...

In this paper we investigate the problem of possibilistic-probabilistic optimization with constraints on possiblity/probability. Fuzzy parameters of the problem are considered to be related by the weakest t-norm, random parameters are normally distributed. For solving the problem an equivalent stochastic...

Hidden conflict of belief functions in the case where the sum of all multiples of conflicting belief masses being equal to zero was observed. Degrees of hidden conflict and of non-conflictness are defined and analyzed including full non-conflictness. The hidden conflict between two belief functions...

A concept of uncertainty-aware similarity measure for interval--valued fuzzy sets is being defined and discussed. The aim of the paper is to support the opinion that both definition and construction of such measure should take into account the epistemic nature of compared incomplete (uncertain) information....

Discovering new trends and co-occurrences in massive data is a key step when analysing social media, data coming from sensors, etc. Although, nowadays Data Mining is very useful and widely used for the industry, business and government, the main problem of application of machine learning or data mining...

In the article we first review some known results on fuzzy versions of the dominance-based rough set approach (DRSA) where we expand the theory considering additional properties. Also, we apply Ordinal Weighted Average (OWA) operators in fuzzy DRSA. OWA operators have shown a lot of potential in handling...

Developing agents for automated game playing is a demanding task in the general game production cycle. Especially the involvement of frequent balance changes after the release, e.g. as they often occur in collectible card games, require constant updates of the developed agent. The game's developers need...

In this paper we study Lotka-Volterra model of oscillating chemical reactions via fuzzy differential equations, where the initial conditions are given by interactive fuzzy numbers. The concept of interactivity is associated with the notion of joint possibility distribution. The fuzzy solution is given...

Digitisation, digitalisation and digital transformation represent one of the primary incentives of today’s development. To successfully implement these changes, countries need to create smart digital policies which are evidence- and data-based. The study presented in this paper uses the logical clustering...

This case study evaluates to what extent personal preferences can be automatically derived from user event data in an mHealth setting. Based on a theoretical framework, user preferences are described using six classes. Based on this framework, a structure of six Takagi-Sugeno fuzzy inference systems...

Logs of arrhythmia episodes in patients with pacemakers are used to estimate the temporal progression of atrial arrhythmia. In order to attain an early detection, a stream of dates and episode lengths are fed to an array of detectors, each of which is responsive to a narrow range of arrhythmias. The...

Fuzzy Cognitive Maps (FCM) and other Dynamic Cognitive Maps (DCM) were originally developed as mechanisms to simulate the evolution of complex qualitative dynamic systems. In this paper we present a case study where we show that Evolving DCM (specifically Evolving Rule Based Fuzzy Cognitive Maps, Ev-RBFCM)...

In this paper we introduce an NP-hard optimization problem and examine preferences of decision-maker towards imprecise alternatives (modes) in a fuzzy temporal graph structure model. Fuzzy Z-number preference matrix is introduced and types of generalized precedence relations in fuzzy multimode resource-constrained...

Fuzzy relation equations have recently been extended to a more general framework in which the unknown variables appear together with their logical negation connectives, giving rise to the called bipolar fuzzy relation equations. This paper shows an abductive procedure for a special kind of normal residuated...

In Hlinena et al. (2014) the authors, inspired by Karacal and Kesicioglu (2011), introduced a pre-order induced by uninorms. This contribution is devoted to a classification of families of uninorms by means of types of pre-orders (and orders) they induce. Philosophically, the paper follows the original...

Fuzzy tensors encode to what extent n-ary predicates are satisfied. The disjunctive box cluster model is a regression model where sub-tensors are explanatory variables for the values in the fuzzy tensor. In this article, the most informative patterns according to that model, with high areas times squared...

This paper introduces solution for numeric evaluation of money laundering risk containing several different risk factors. For this purpose we consider the options for aggregation of risk factors and obtaining consolidated risk level. The proposed models are constructed using maximum t-conorm and Łukasiewicz...

Neural network language models become the main tool to solve tasks in NLP field. These models already have shown state-of-the-art results in classification, translation, named entity recognition and so on. Pre-trained models are distributed freely in the internet, and could be reused with help of transfer...

Relative information about locations of places can be described using the cardinal direction calculus (CDC). Some extensions of the calculus allow to express vague information and others include nearness/closeness. The development of description logics for qualitative spatial calculi has also been done....

In this work, we use a Mamdani fuzzy controller based on fuzzy rules that represent position and velocity of a particle for a free mechanical vibration model. Here, we focus on three major cases: the harmonic oscillator, the damped vibration, and the negative damping case. This study combines classical...

In this paper we propose a new approach for forecasting the cryptocurrency time series, which combines the fuzzy transform and the fuzzy inference system. We also test whether fuzzy transform yields better results forecasting results in comparison to Fourier transform. Finally, we will investigate whether...

Need for faster and faster computing necessitates going down to quantum level -- which means involving quantum computing. One of the important features of quantum computing is that it is reversible. Reversibility is also important as a way to decrease processor heating and thus, enable us to place more...

The study investigates the proposed approach for behavior modeling on the base of Bayesian belief networks that allows predicting behavior characteristics using small and incomplete data from surveys about behavior episodes. We explored the prediction quality of the models in case of rare behavior. The...

Customer segmentation has been one of most important decision in marketing. In general, demographics of customers, monetary value of customer transactions, types of product/service used are the sources of segmentation process. In recent years, new technology enabled new sources of data. On of these new...

In papers \cite{BartkovaCunderlikova18, BartkovaCunderlikova18p} we proved the Fisher-Tippett-Gnedenko theorem and the Pickands-Balkema-de Haan theorem on family of intuitionistic fuzzy events. Since between the intuitionistic fuzzy events and the interval valued events exist a connection, so we try...

Dynamic consolidation of virtual machines (VMs) is an effective way to improve resource utilization and power efficiency in cloud computing. Determining when it is best to relocate VMs from an overloaded host is one aspect of dynamic VM consolidation that directly influences the resource utilization...

The idea of this paper is to investigate intuitionistic fuzzy set (IFS) generalizations and make one step further into that direction by introducing interpolative Boolean algebra (IBA) to Liu’s generalized IFS. First, we aim to give an overview of the existing attempts to generalize or alter the definition...

We consider the situation where a group of agents are involved in the achievement of a common goal. Each agent owns a set of actions that are partial solutions for the problem to be solved. Moreover, different agents may have the same actions. In order to decide which action to select from different...

Edge detection is an important step for pre-processing digital images before more advanced methods of image analysis such as segmentation can be applied. There are an infite number of edge detectors that can be derived from pairs of fuzzy dilation and erosion operators. Usually, an edge detector is based...

We study a multiclass extension of support vector machine (SVM) based on geometric margin maximization. Since there are different margins for different class-pairs, the maximum-margin SVM can be formulated as a multiobjective optimization problem. This multiobjective multiclass SVM (MMSVM) is difficult...

2-Tuple linguistic model, which is a fuzzy logic based linguistic decision-making tool, enables the use of multi-granulated linguistic variables in decision making. This property facilitates the decision-making process for decision makers (DMs) and provides a comfortable decision-making environment for...

This work has been focused in the application of Gustafson- Kessel Algorithm in a complex system through a methodology proposed. The complex system here considered will be the financial market. So, the main objective of this paper is to classify objects in two patterns: winner and loser. The methodology...

We introduce a many-valued semantics for basic normal lattice-based modal logic. This semantics is based on reflexive many-valued graphs. We discuss an interpretation and possible applications of this logical framework in the context of the formal analysis of the interaction between (competing) scientific...