UO > About > Organizational Structure > Faculties & Institutes > Centre of Excellence IT4Innovations, division of UO, Institute for Research and Applications of Fuzzy Modeling

Michal Holčapek


Academic degree, name, surname:doc. RNDr. Michal Holčapek, Ph.D.
Room, floor, building: C 602, Building C
Position:
Research interests and teaching:statistics, fuzzy modelling, algebra, theory of fuzzy sets, measure theory
Department (Faculty): Institute for Research and Applications of Fuzzy Modeling
Phone number, mobile: +420 553 46 1406
E-mail:
Personal website:



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A Graded Approach to Cardinal Theory of Finite Fuzzy Sets, Part II: Fuzzy Cardinality Measures and Their Relationship to Graded Equipollence:
Michal Holčapek
Year: 2020, FUZZY SET SYST
journal article

A note on the links between different qualitative integrals
Michal Holčapek, Agnes Rico
Year: 2020
abstract in proceedings

Boundary Value Problem: Weak Solutions Induced by Fuzzy Partitions
Le Toan Nhat Linh Nguyen, Irina Perfiljeva, Michal Holčapek
Year: 2020, Discrete And Continuous Dynamical Systems B
journal article

F-Transform Inspired Weak Solution to a Boundary Value Problem
Le Toan Nhat Linh Nguyen, Irina Perfiljeva, Michal Holčapek
Year: 2020, Axioms
journal article

Generalized ordinal sum constructions of t-norms on bounded lattices
Antonín Dvořák, Michal Holčapek
Year: 2020
abstract in proceedings

Gold Price: Trend-cycle Analysis Using Fuzzy Techniques
Le Toan Nhat Linh Nguyen, Vilém Novák, Michal Holčapek
Year: 2020
abstract in proceedings

Integral transforms on spaces of complete residuated lattice valued functions
Michal Holčapek, Viec Bui Quoc
Year: 2020
abstract in proceedings

New construction of an ordinal sum of t-norms and t-conorms on bounded lattices
Antonín Dvořák, Michal Holčapek
Year: 2020, Information Sciences
journal article

On integral transforms for residuated lattice-valued functions
Michal Holčapek, Viec Bui Quoc
Year: 2020
abstract in proceedings

On Ordinal Sums of T-norms and T-conorms on Bounded Posets
Antonín Dvořák, Michal Holčapek, Jan Paseka
Year: 2020
abstract in proceedings

On semantic properties of fuzzy quantifiers over fuzzy universes: restriction and living on
Antonín Dvořák, Michal Holčapek
Year: 2020
abstract in proceedings

On the properties of orderings of extensional fuzzy numbers
Martin Štěpnička, Nicole ŠKORUPOVÁ, Michal Holčapek
Year: 2020
abstract in proceedings

Generalized Fuzzy Partition in Galerkin Method for the Boundary Valued Problem
Le Toan Nhat Linh Nguyen, Irina Perfiljeva, Michal Holčapek
Year: 2019
abstract in proceedings

On the relationship between fuzzy groups and MI-algebras
Michal Holčapek
Year: 2019
presentations (congresses, symposia, conferences, workshops)

Orderings of Extensional Fuzzy Numbers
Martin Štěpnička, Michal Holčapek, Nicole ŠKORUPOVÁ
Year: 2019
abstract in proceedings

Ordinal sums of t-norms and t-conorms on bounded lattices
Antonín Dvořák, Michal Holčapek
Year: 2019
abstract in proceedings

Robust numerical schemes for pricing of selected options
Jiří Hozman, Michal Holčapek, Tomáš Tichý, Dana Černá, Aleš Kresta, Radek Valášek ... other authors
Year: 2019, VŠB-TU Ostrava
specialist book

Strong law of large numbers for random variables valued by gradual numbers and closed intervals of gradual numbers
Michal Holčapek, Tomáš Tichý
Year: 2019
abstract in proceedings

A Novel Approach to The Discrete Fuzzy Transform of Higher Degree
Le Toan Nhat Linh NGUYEN, Michal Holčapek
Year: 2018
abstract in proceedings

Blocking landing techniques in volleyball and the possible association with anterior cruciate ligament injury
David Zahradník, Daniel Jandačka, Michal Holčapek, Roman Farana, Jaroslav Uchytil, Joseph Hamill ... other authors
Year: 2018, Journal of Sports Sciences
journal article

Extensions of fuzzy relational compositions based on generalized quantifiers
Thi Hong Nhung Cao, Michal Holčapek, Martin Štěpnička
Year: 2018, FUZZY SET SYST
journal article

Higher Degree Fuzzy Transform: Application to Stationary Processes and Noise Reduction
Le Toan Nhat Linh NGUYEN, Michal Holčapek
Year: 2018
abstract in proceedings

On Cantor's Theorem for Fuzzy Power Sets
Michal Holčapek
Year: 2018
abstract in proceedings

Polynomial alias higher degree fuzzy transform of complex-valued functions
Michal Holčapek, Le Toan Nhat Linh Nguyen, Tomáš Tichý
Year: 2018, FUZZY SET SYST
journal article

Relativization of Fuzzy Quantifiers: Initial Investigations
Antonín Dvořák, Michal Holčapek
Year: 2018
abstract in proceedings

Topological MI-groups
Nicole ŠKORUPOVÁ, Michal Holčapek
Year: 2018
presentations (congresses, symposia, conferences, workshops)

Topological MI-groups
Nicole ŠKORUPOVÁ, Michal Holčapek
Year: 2018
abstract in proceedings

Topological MI-Groups: Initial Study
Michal Holčapek, Nicole Škorupová
Year: 2018
abstract in proceedings

Trend-cycle estimation using fuzzy transform of higher degree
Michal Holčapek, Le Toan Nhat Linh Nguyen
Year: 2018, Iranian Journal of Fuzzy Systems
journal article

Weak Boundary Value Problem: Fuzzy Partition in Galerkin Method
Le Toan Nhat Linh Nguyen, Irina Perfiljeva, Michal Holčapek
Year: 2018
abstract in proceedings

Bivariate fuzzy transform based on tensor product of two polynomial spaces in analysis of correlation function
Le Toan Nhat Linh NGUYEN, Michal Holčapek
Year: 2017
abstract in proceedings

F-transform based numerical solution of partial differential equations
Michal Holčapek, Radek Valášek
Year: 2017
abstract in proceedings

Multivariate Fuzzy Transform of Complex-Valued Functions Determined by Monomial Basis
Le Toan Nhat Linh NGUYEN, Michal Holčapek, Vilém Novák
Year: 2017, Soft Computing
journal article

Non-preservation of Chosen Properties of Fuzzy Relational Compositions Based on Fuzzy Quantifiers
Thi Hong Nhung Cao, Martin Štěpnička, Michal Holčapek
Year: 2017
abstract in proceedings

Numerical solution of partial differential equations with the help of fuzzy transform technique
Michal Holčapek, Radek Valášek
Year: 2017
abstract in proceedings

On generalized quotient MI-groups
Michal Holčapek
Year: 2017, FUZZY SET SYST
journal article

Spaces with fuzzy partitions and fuzzy sets
Jiří Močkoř, Michal Holčapek
Year: 2017, Oxford Journal of Intelligent Decision and Data Science
journal article

A Graded Approach to Cardinal Theory of Finite Fuzzy Sets, Part I: Graded Equipollence
Michal Holčapek
Year: 2016, FUZZY SET SYST
journal article

A New Reconstruction from the F-Transform Components
Irina Perfiljeva, Michal Holčapek, Vladik Kreinovich
Year: 2016, FUZZY SET SYST
journal article

Fuzzy objects in spaces with fuzzy partitions
Jiří Močkoř, Michal Holčapek
Year: 2016, Soft Computing
journal article

Graded Dominance and Cantor-Bernstein Equipollence of Fuzzy Sets
Michal Holčapek
Year: 2016
abstract in proceedings

Non-parametric estimation using discrete higher degree F-transform
Michal Holčapek
Year: 2016
abstract in proceedings

Nonparametric regression via higher degree F-transform for implied volatility surface estimation
Michal Holčapek, Tomáš Tichý
Year: 2016
abstract in proceedings

Prediction of cyclic components of a time series using fuzzy transform
Le Toan Nhat Linh Nguyen, Vilém Novák, Michal Holčapek
Year: 2016
abstract in proceedings

Spaces with fuzzy partitions and fuzzy sets
Jiří Močkoř, Michal Holčapek
Year: 2016
presentations (congresses, symposia, conferences, workshops)

Suppression of High Frequencies in Time Series Using Fuzzy Transform of Higher Degree
Le Toan Nhat Linh Nguyen, Michal Holčapek
Year: 2016
abstract in proceedings

An Extension of Fuzzy Relational Compositions Using Generalized Quantifiers
Martin Štěpnička, Michal Holčapek, Thi Hong Nhung Cao
Year: 2015
abstract in proceedings

Backtesting of value at risk with fuzzy-stochastic variables
Michal Holčapek, Tomáš Tichý
Year: 2015
abstract in proceedings

Discrete multivariate F-transform of higher degree
Michal Holčapek, Tomáš Tichý
Year: 2015
abstract in proceedings

Necessary and Sufficient Conditions for Generalized Uniform Fuzzy Partitions
Michal Holčapek, Irina Perfiljeva, Vilém Novák, Kreinovich Vladik
Year: 2015, FUZZY SET SYST
journal article

Type <1, 1> fuzzy quantifiers determined by fuzzy measures on residuated lattices. Part III. Extension, conservativity and extensionality
Antonín Dvořák, Michal Holčapek
Year: 2015, FUZZY SET SYST
journal article

A Functional Approach to Cardinality of Finite Fuzzy Sets
Michal Holčapek
Year: 2014
abstract in proceedings

Discrete Fuzzy Transform of Higher Degree
Michal Holčapek, Tomáš Tichý
Year: 2014
abstract in proceedings

Filtering out high frequencies in time series using F-transform
Vilém Novák, Irina Perfiljeva, Michal Holčapek, Vladik Kreinovich
Year: 2014, INFORM SCIENCES
journal article

Fuzzy relational compositions based on generalized quantifiers
Martin Štěpnička, Michal Holčapek
Year: 2014
abstract in proceedings

Generalized Quotient MI-Groups
Michal Holčapek
Year: 2014
abstract in proceedings

Generalized Uniform Fuzzy Partition: Analysis of Necessary and Sufficient Condition
Michal Holčapek
Year: 2014
presentations (congresses, symposia, conferences, workshops)

Graded Equipollence: A Functional Approach to Cardinality of Finite Fuzzy Sets
Michal Holčapek
Year: 2014
presentations (congresses, symposia, conferences, workshops)

MI-algebras: a new framework for arithmetics of (extensional) fuzzy numbers
Michal Holčapek, Martin Štěpnička
Year: 2014, FUZZY SET SYST
journal article

Processing Quantities with Heavy-Tailed Distribution of Measurement Uncertainty: How to Estimate the Tails of the Results of Data Processing
Michal Holčapek, Vladik Kreinovich
Year: 2014
abstract in proceedings

Type <1,1> Fuzzy Quantifiers Determined by Fuzzy Measures on Residuated Lattices. Part I: Basic Definitions and Examples
Antonín Dvořák, Michal Holčapek
Year: 2014, FUZZY SET SYST
journal article

Type <1,1> Fuzzy Quantifiers Determined by Fuzzy Measures on Residuated Lattices. Part II: Permutation and Isomorphism Invariances
Antonín Dvořák, Michal Holčapek
Year: 2014, FUZZY SET SYST
journal article

Analysis of stationary processes using fuzzy transform
Vilém Novák, Irina Perfiljeva, Michal Holčapek
Year: 2013
abstract in proceedings

Analysis of stationary processes using fuzzy transform
Vilém Novák, Irina Perfiljeva, Michal Holčapek
Year: 2013
presentations (congresses, symposia, conferences, workshops)

Discrete Representation of Stationary Random Processes Using Fuzzy Transform
Michal Holčapek, Irina Perfiljeva, Vilém Novák
Year: 2013
abstract in proceedings

Discrete Representation of Stationary Random Processes Using Fuzzy Transform
Michal Holčapek, Irina Perfiljeva, Vilém Novák
Year: 2013
presentations (congresses, symposia, conferences, workshops)

Fuzzy Sets and Fuzzy Classes in Universes of Sets
Michal Holčapek
Year: 2013
presentations (congresses, symposia, conferences, workshops)

Noise Reduction in Time Series using F-transform
Michal Holčapek, Irina Perfiljeva, Vilém Novák
Year: 2013
abstract in proceedings

On a Convergence of $\otimes$-Fuzzy Integrals over MV-algebras
Michal Holčapek
Year: 2013
presentations (congresses, symposia, conferences, workshops)

On Isomorphism Theorems for MI-groups
Michal Holčapek, Michaela Wrublová, Martin Štěpnička
Year: 2013
abstract in proceedings

vědecký pobyt v rámci projektu N62909-12-1-7039 of the Department of the NAVY
Michal Holčapek
Year: 2013
work experience abroad

A Characterization of Fuzzy Integrals Invariant with Respect to Permutation Groups
Antonín Dvořák, Michal Holčapek
Year: 2012
abstract in proceedings

An Application of an n-dimensional Fuzzy Smoothing Filter in Financial Modeling
Michal Holčapek, Tomáš Tichý
Year: 2012
abstract in proceedings

Arithmetics of Extensional Fuzzy Numbers -- Part I: Introduction
Michal Holčapek, Martin Štěpnička
Year: 2012
abstract in proceedings

Arithmetics of Extensional Fuzzy Numbers -- Part I: Introduction
Michal Holčapek, Martin Štěpnička
Year: 2012
presentations (congresses, symposia, conferences, workshops)

Arithmetics of Extensional Fuzzy Numbers -- Part II: Algebraic framework
Michal Holčapek, Martin Štěpnička
Year: 2012
abstract in proceedings

Arithmetics of Extensional Fuzzy Numbers -- Part II: Algebraic framework
Michal Holčapek, Martin Štěpnička
Year: 2012
presentations (congresses, symposia, conferences, workshops)

Fuzzy measures and integrals defined on algebras of fuzzy subsets over complete residuated lattices
Antonín Dvořák, Michal Holčapek
Year: 2012, INFORM SCIENCES
journal article

The Case of Imprecisely Stated Volatility: A Fuzzy-Random Approach to Option Pricing
Michal Holčapek, Tomáš Tichý
Year: 2012
abstract in proceedings

A comparison of smoothing filter based on fuzzy transform and Nadaraya-Watson estimators
Michal Holčapek, Tomáš Tichý
Year: 2011
abstract in proceedings

A comparison of smoothing filter based on fuzzy transform and Nadaraya-Watson estimators
Michal Holčapek
Year: 2011
presentations (congresses, symposia, conferences, workshops)

A Smoothing Filter Based on Fuzzy Transform
Michal Holčapek, Tomáš Tichý
Year: 2011, FUZZY SET SYST
journal article

Graded Equipollence And Fuzzy C-measures Of Finite Fuzzy Sets
Michal Holčapek
Year: 2011
abstract in proceedings

Graded Equipollence And Fuzzy C-measures Of Finite Fuzzy Sets
Michal Holčapek
Year: 2011
presentations (congresses, symposia, conferences, workshops)

On Convergence of Fuzzy Integrals over Complete Residuated Lattices
Antonín Dvořák, Michal Holčapek
Year: 2011
abstract in proceedings

On Monotonicity Of Type <1, 1> Fuzzy Quantifiers Determined By Fuzzy Measures
Michal Holčapek
Year: 2011
presentations (congresses, symposia, conferences, workshops)

On Monotonicity Of Type <1, 1> Fuzzy Quantifiers Determined By Fuzzy Measures
Michal Holčapek, Antonín Dvořák
Year: 2011
abstract in proceedings

Option Pricing with fuzzy parameters via Monte Carlo simulation
Michal Holčapek, Tomáš Tichý
Year: 2011
abstract in proceedings

Simulation methodology for financial assets with imprecise data
Michal Holčapek, Tomáš Tichý
Year: 2011
abstract in proceedings

Statistical analysis of a smoothing filter based on fuzzy transform
Michal Holčapek
Year: 2011
presentations (congresses, symposia, conferences, workshops)

Statistical analysis of a smoothing filter based on fuzzy transform
Michal Holčapek, Tomáš Tichý
Year: 2011
abstract in proceedings

A noise reduction using a smoothing filter based on the F-transform
Michal Holčapek
Year: 2010
presentations (congresses, symposia, conferences, workshops)

An Axiomatic Approach to Fuzzy Measures Like Set Cardinality for Finite Fuzzy Sets
Michal Holčapek
Year: 2010
abstract in proceedings

An Axiomatic Approach to Fuzzy Measures Like Set Cardinality for Finite Fuzzy Sets
Michal Holčapek
Year: 2010
presentations (congresses, symposia, conferences, workshops)

Fuzzy Measure Spaces Generated by Fuzzy Sets
Antonín Dvořák, Michal Holčapek
Year: 2010
abstract in proceedings

Type <1, 1> Fuzzy Quantifiers Determined by Fuzzy Measures
Michal Holčapek, Antonín Dvořák
Year: 2010
abstract in proceedings

Type <1,1> Fuzzy Quantifiers Determined by Fuzzy Measures
Michal Holčapek, Antonín Dvořák
Year: 2010
abstract in proceedings

Type <1,1> Fuzzy Quantifiers Determined by Fuzzy Measures
Michal Holčapek
Year: 2010
presentations (congresses, symposia, conferences, workshops)

Type <1,1> Fuzzy Quantifiers Determined by Fuzzy Measures
Michal Holčapek
Year: 2010
presentations (congresses, symposia, conferences, workshops)

Basic Properties of L-fuzzy Quantifiers of the Type <1> Determined by Fuzzy Measures
Antonín Dvořák, Michal Holčapek
Year: 2009
abstract in proceedings

Fuzzy integrals over complete residuated lattices
Michal Holčapek
Year: 2009
presentations (congresses, symposia, conferences, workshops)

Fuzzy integrals over complete residuated lattices
Antonín Dvořák, Michal Holčapek
Year: 2009
abstract in proceedings

Graded Equipollence of Fuzzy Sets
Michal Holčapek
Year: 2009
presentations (congresses, symposia, conferences, workshops)

Graded Equipollence of Fuzzy Sets
Michal Holčapek, Matěj Turčan
Year: 2009
abstract in proceedings

L-fuzzy Quantifiers of Type <1> Determined by Fuzzy Measures
Antonín Dvořák, Michal Holčapek
Year: 2009, FUZZY SET SYST
journal article

The Category of MV-pairs
Gejza Jenča, Antonio Di Nola, Michal Holčapek
Year: 2009, LOG J IGPL
journal article

Graded Equipollence of L-fuzzy sets
Michal Holčapek
Year: 2008
presentations (congresses, symposia, conferences, workshops)

Graded Equipollence of L-fuzzy sets
Michal Holčapek
Year: 2008
abstract in proceedings

Monadic L-fuzzy quantifiers of the type <1^n,1>
Michal Holčapek
Year: 2008, FUZZY SET SYST
journal article

Monadic L-fuzzy quantifiers of the type <1^n,1>
Michal Holčapek
Year: 2007
abstract in proceedings

Fuzzy logic with extensional fuzzy quantifiers: syntax and semantics
Michal Holčapek
Year: 2006
presentations (congresses, symposia, conferences, workshops)

Fuzzy logic with fuzzy quantifiers
Michal Holčapek
Year: 2006
abstract in proceedings

Fuzzy logic with fuzzy quantifiers
Michal Holčapek
Year: 2006
presentations (congresses, symposia, conferences, workshops)

Fuzzy quantifiers
Michal Holčapek
Year: 2006
abstract in proceedings

Fuzzy quantifiers
Michal Holčapek
Year: 2006
presentations (congresses, symposia, conferences, workshops)

Operations with General Fuzzy Decision Systems
Michal Holčapek, Matěj Turčan
Year: 2006
abstract in proceedings

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AuthorTitleType of thesisYear
Škorupová NicoleTopological MI-groupsMaster's thesis 2017 
Wojtylová MarkétaComparison of fuzzy algebra and MI-algebraMaster's thesis 2017 


Fuzzy modeling: development of actual theoretical fundamentals and chosen applications VIII
Main solverdoc. RNDr. Michal Holčapek, Ph.D.
Period1/2018 - 12/2018
ProviderSpecifický VŠ výzkum
Statefinished
Robust numerical schemes for pricing of selected options under various market conditions
Main solverdoc. RNDr. Michal Holčapek, Ph.D.
Period1/2016 - 12/2018
ProviderCentrum excelence IT4Innovations, divize, Standardní projekt GA ČR
Statefinished
Fuzzy modeling: development of actual theoretical fundamentals and chosen applications VII
Main solverdoc. RNDr. Michal Holčapek, Ph.D.
Period1/2017 - 12/2017
ProviderSpecifický VŠ výzkum
Statefinished
Fuzzy modeling: development of actual theoretical fundamentals and chosen applications VI
Main solverdoc. RNDr. Michal Holčapek, Ph.D.
Period1/2016 - 12/2016
ProviderSpecifický VŠ výzkum
Statefinished
social hub