**16-17 May 2019 • Sofia, Bulgaria**

**Submission:**1 February 2019 •

**Notification:**1 March 2019 •

**Final Version:**1 April 2019

# Beloslav Riečan

**Beloslav Riečan** (11 November 1936 – 14 August 2018) was professor in the Department of Mathematics, Faculty of Natural Sciences, Matej Bel University, where he is teaching Mathematical analysis.

His primary research interests were in the areas of Fuzzy set theory and Quantum logic and Quantum structures. His secondary research interests were in the field of Ordered structures, Dynamical systems and ergodic theory, Probability theory and Integration theory.

Prof. Riečan was president of Union of Slovak Mathematicians and Physicists, president of Slovak Association of Club of Rome. He was member of the editorial board of some scientific journals, among which *Notes on Intuitionistic Fuzzy Sets*, *Mathematica Slovaca* and *Developments in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics*.

## Education and scientific career

- Master degree - Comenius University, Bratislava 1958
- PhD. - Slovak Technical University, Bratislava 1965
- Doc. (corresponds to Assoc. Prof.) - Comenius University, Bratislava 1967
- DrSc. - Comenius University Bratislava 1980
- Prof. - Comenius University Bratislava 1981
- Dr.h.c. - Armed forces academy of general Milan Rastislav Štefánik, 2006

## List of publications

*This is not a complete list of publications. See also Category:Publications of Beloslav Riečan.*

- Krassimir Atanassov, Beloslav Riečan, "On two new types of probability of IF-events", Developments in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics, Volume 1, 2008, p. 11-22
- Katarína Čunderlíková-Lendelová, Beloslav Riečan, "The probability theory on B-structures", Developments in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics, Volume 1, 2008, p. 33-60
- Beloslav Riečan, Krassimir Atanassov, On a new intuitionistic fuzzy implication of Gaines-Rescher's type, 3
^{th}International Workshop on Intuitionistic Fuzzy Sets, 3 October 2007, Banská Bystrica, Slovakia, Notes on Intuitionistic Fuzzy Sets, Volume 13, Number 4, 2007, 1-4 - Beloslav Riečan, On the probability theory of IF-events, 11
^{th}International Conference on Intuitionistic Fuzzy Sets, 28-30 April 2007, Sofia, Bulgaria, Notes on Intuitionistic Fuzzy Sets, Volume 13, Number 2, 2007, p. 23-29 - Beloslav Riečan, M-probability Theory on IF-events. EUSFLAT Conf. (1) 2007: 227-230
- Beloslav Riečan, Krassimir Atanassov, n-extraction operation over intuitionistic fuzzy sets, 2
^{nd}International Workshop on Intuitionistic Fuzzy Sets, 3 December 2006, Banská Bystrica, Slovakia, Notes on Intuitionistic Fuzzy Sets, Volume 12, Number 4, 2006, p. 9-11 - Beloslav Riečan, Probability Theory on IF Events. Algebraic and Proof-theoretic Aspects of Non-classical Logics 2006: 290-308
- Beloslav Riečan, On a problem of Radko Mesiar: General form of IF-probabilities. Fuzzy Sets and Systems 157(11): 1485-1490 (2006)
- Beloslav Riečan, On two ways for the probability theory on IF-sets. Advances in Soft Computing, (2006), pp.285-290.
- Beloslav Riečan, Carathéodory measurability revisited, Tatra Mt. Math. Publ. 34, No. 2, (2006), pp.321-332.
- Boccuto, Antonio; Riečan, Beloslav, Convergence theorems for (SL)-integral in Riesz space-context, Tatra Mt. Math. Publ. 34, No. 2, (2006), pp.201-222.
- Beloslav Riečan, On the probability on IF-sets and MV-algebras, 1
^{st}International Workshop on Intuitionistic Fuzzy Sets, 22 September 2005, Banská Bystrica, Slovakia, Notes on Intuitionistic Fuzzy Sets, Volume 11, Number 6, 2005, p. 21-25 - Beloslav Riečan, On the entropy on the Lukasiewicz square. EUSFLAT Conf. 2005: 330-333
- Beloslav Riečan, On the Dobrakov submeasure on fuzzy sets. Fuzzy Sets and Systems 151(3): 635-641 (2005)
- Riečan, Beloslav; Jurecková, Mária, Invariant observables and the individual ergodic theorem., Int. J. Theor. Phys. 44, No. 9, (2005), pp.1587-1597.
- Riečan, Beloslav, Kolmogorov-Sinaj entropy on MV-algebras., Int. J. Theor. Phys. 44, No. 7 (2005), pp.1041-1052.
- Beloslav Riečan, On the strong law of large numbers on some ordered structures. Math. Slovaca 54, No. 1, (2004), pp.61-67.
- Beloslav Riečan, Representation of probabilities on IFS events. Advances in Soft Computing, (2004), pp.243-248.
- Beloslav Riečan, The conjugacy of probability MV-σ-algebras with the unit interval., Atti Semin. Mat. Fis. Univ. Modena Reggio Emilia 52, No. 2, (2004), pp.241-248.
- Beloslav Riečan, A descriptive definition of the probability on intuitionistic fuzzy sets. EUSFLAT Conf. 2003: 210-213
- Beloslav Riečan, An entropy construction inspired by fuzzy sets. Soft Comput. 7(7): 486-488 (2003)
- Beloslav Riečan, Almost everywhere convergence in MV-algebras with product. Soft Comput. 5(5): 396-399 (2001)
- Beloslav Riečan, On the probability theory on MV-algebras. Soft Comput. 4(1): 49-57 (2000)
- Beloslav Riečan, On the Sum of Observables in Product MV Algebras. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 7(6): 671-677 (1999)

## See also

- Prof. RNDr. Beloslav Riečan DrSc. septuagenarian, Katarína Lendelová, Notes on IFS, Volume 12, Number 4, 2006, 1-2
- Publications of Beloslav Riečan