Project information
Algebraické, vícehodnotové a kvantové struktury pro modelování neurčitosti

Project Identification

GA15-15286S

Project Period

1/2015 - 12/2017

Investor / Pogramme / Project type

Czech Science Foundation

Standard Projects

MU Faculty or unit

Faculty of Science

doc. Mgr. Michal Botur, Ph.D.
Mgr. Jiří Janda, Ph.D.
Mgr. David Kruml, Ph.D.
prof. RNDr. Jan Paseka, CSc.

Cooperating Organization

Palacký University, Olomouc

Responsible person Prof. RNDr. Anatolij Dvurečenskij, DrSc.
Responsible person Doc. RNDr. Jan Kühr, Ph.D.

Projekt se soustřeďuje na výzkum v oblastech čisté matematiky (uspořádané struktury, algebra, teorie míry, teorie modelů), které mají vztah ke kvantové mechanice, logice a filozofii. Hlavním cílem je modelování neurčitosti moderními metodami vícehodnotové logiky, algebry, teorie pravděpodobnosti, teorie operátorů na Hilbertově prostoru a funkcionální analýzy. Zobecněný popis neurčitosti rozšiřuje pravděpodobnostní a statistické metody do oblastí, které překonávají omezení klasické teorie.

Publications

Total number of publications: 10

2018

The Poset-based Logics for the De Morgan Negation and Set Representation of Partial Dynamic De Morgan Algebras

PASEKA Jan CHAJDA Ivan

Article in Periodical

JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING, year: 2018, volume: 31, edition: 3
The spectrum of the sum of observables on sigma-complete MV-effect algebras

JANDA Jiří XIE Yongjian

Article in Periodical

Soft computing, year: 2018, volume: 22, edition: 24, DOI
Uniquely Complemented Posets

CHAJDA Ivan LÄNGER Helmut PASEKA Jan

Article in Periodical

ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, year: 2018, volume: 35, edition: 3, DOI

2017

Partial tense MV-algebras and related functions

BOTUR Michal PASEKA Jan

Article in Periodical

Fuzzy Sets and Systems, year: 2017, volume: 326, edition: November, DOI
The Groupoid-Based Logic for Lattice Effect Algebras

CHAJDA Ivan LÄNGER Helmut PASEKA Jan

Article in Proceedings

2017 IEEE 47TH INTERNATIONAL SYMPOSIUM ON MULTIPLE-VALUED LOGIC (ISMVL 2017), year: 2017

2016

Galois connections and tense operators on q-effect algebras

CHAJDA Ivan PASEKA Jan

Article in Periodical

Fuzzy Sets and Systems, year: 2016, volume: 298, edition: September, DOI
ON REALIZATION OF EFFECT ALGEBRAS

NIEDERLE Josef PASEKA Jan

Article in Periodical

Mathematica Slovaca, year: 2016, volume: 66, edition: 2, DOI
Set Representation of Partial Dynamic De Morgan algebras

CHAJDA Ivan PASEKA Jan

Article in Proceedings

2016 IEEE 46TH INTERNATIONAL SYMPOSIUM ON MULTIPLE-VALUED LOGIC (ISMVL 2016), year: 2016
TRANSITION OPERATORS ASSIGNED TO PHYSICAL SYSTEMS

CHAJDA Ivan PASEKA Jan

Article in Periodical

Reports on Mathematical Physics, year: 2016, volume: 78, edition: 3

2015

Algebraic Approach to Tense Operators

PASEKA Jan CHAJDA Ivan

Monograph

Year: 2015, number of pages: 204 s.