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Accessible Unlicensed Requires Authentication Published by De Gruyter October 20, 2018

Prof. RNDr. Beloslav Riečan, DrSc., Dr.h.c. *NOV. 10, 1936 – †AUG. 13, 2018

Anatolij Dvurečenskij
From the journal Mathematica Slovaca

References

[1] BARTKOVá, R.—RIEČAN, B.—TIRPáKOVá, A.: Probability theory for fuzzy quantum spaces with statistical applications, Sharjah, UAE: Bentham Science Publishers, 2017. ISBN 978-1-68108-539-5.Search in Google Scholar

[2] DVUREČENSKIJ, A.: Spomienky bývalého Študenta, Obzory matematiky, fyziky a informatiky 44 (1996), 72–74. (in Slovak)Search in Google Scholar

[3] DUCHOŇ, M.—DVUREČENSKIJ, A.—CHOVANEC, F.: K Životnému jubileu profesora Beloslava RieČana, Pokroky matematiky, fyziky a astronomie 41 (1996), 333–335. (in Slovak)Search in Google Scholar

[4] DVUREČENSKIJ, A.: Prof. B. RieČan sexagenerian, Tatra Mt. Math. Publ. 10 (1997), 9–16.Search in Google Scholar

[5] DVUREČENSKIJ, A.: In honor of Prof. Beloslav RieČan on the occasion of his 65th birthday, Soft Computing 5 (2001), 326–326.Search in Google Scholar

[6] DVUREČENSKIJ, A.: Beloslav RieČan – spiritus mathematicus slovakiensis, Správy SAV 37(12) (2001), 6–7. (in Slovak)Search in Google Scholar

[7] DVUREČENSKIJ, A.: Prof. RNDr. Beloslav RieČan, DrSc. – Spiritus Mathematicus Slovakiensis, Math. Slovaca 52 (2002), 243–245.Search in Google Scholar

[8] DVUREČENSKIJ, A.: Professor Beloslav RieČan, septuagenarian, Math. Slovaca 56(5) (2006), i–vi.Search in Google Scholar

[9] DVUREČENSKIJ, A.: Prof. RNDr. Beloslav RieČan, DrSc. – One of the last Spriritus Mathematicus Slovakiensis, Acta Univ. Math. Belii 19 (2011), 5–10.Search in Google Scholar

[10] KOVAČKA, M.—DVUREČENSKIJ, A.—KACIAN, A. (eds.): Beloslav RieČan – ale najväČŠia z nich je láska, Alfa print s.r.o., Martin, 2013. ISBN 978-80-971399-9-5.Search in Google Scholar

LIST OF PUBLICATIONS OF BELOSLAV RIEČAN IN THE PERIOD 2010–2018

[241] RIEČAN, B.—ATANASSOV, K. T.: Operation division by n over intuitionistic fuzzy sets, Notes on IFS 16 (2010), 10–14.Search in Google Scholar

[242] RIEČAN, B.—KRáL’, P.: Probability on interval valued events. In: Proc. of the eleventh International Workshop on Generalized Nets and the Second International Workshop on Generalized Nets, Intuitionistic Fuzzy Sets and Knowledge Engeneering, London, 2010, pp. 43–47.Search in Google Scholar

[243] RIEČAN, B.: Lebesguov integrál, Obzory matematiky, fyziky a informatiky 39 (2010), 1–14, (in Slovak).Search in Google Scholar

[244] KUKOVá, M.—MICHALíKOVá, A.—RIEČAN, B.: Probability on effect algebras. In: EUSFLAT – LSA 2011: Advances in intelligent systems research: proceedings of 7th Conference, 18 - 22 July 2011, Aix-Les-Bains, France, Berlin - Heidelberg: Springer Verlag, 2011, pp. 537–539.Search in Google Scholar

[245] RIEČAN, B.—TKáČIK, Š.: A note on the Kluvánek integral, Tatra Mt. Math. Publ. 49 (2011), 1–7.Search in Google Scholar

[246] RIEČAN, B.—ATANASSOV, K.: On Zadeh’s intuitionistic fuzzy subtraction. Notes on IFS, Proc. the seventh international workshop on intuitionistic fuzzy sets 17 (2011), 1–4.Search in Google Scholar

[247] RIEČAN, B.—ATANASSOV, K.: On Łukasiewicz’s intuitionistic fuzzy subtraction, Notes on IFS, Proceedings of the fifteenth international conference on intuitionistic fuzzy sets 17 (2011), 65–67.Search in Google Scholar

[248] RIEČAN, B.: A strengthening of the Poincaré recurrence theorem on MV-algebras. In: Applications of Mathematics 2012: Proceedings of the International Conference in honor of the 60th birthday of Michal KříŽek, Prague, May 2-5, 2012, (J. Brandts et al. eds.), Academy of Sciences, Institute of Mathematics, Prague, 2012, pp. 236–242.Search in Google Scholar

[249] RIEČAN, B.—LAŠOVá, : A convergence theorem on effect algebras. In: New Developments in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics, Vol. I, Foundations (K. Atanassov et al., eds.), Systems Research Institute, Polish Academy of Sciences, Warszaw, 2012, pp. 157–165.Search in Google Scholar

[250] RIEČAN, B.: On a story inspired by IF-sets. In: New Developments in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics, Vol. I, Foundations (K. Atanassov et al., eds.), Systems Research Institute, Polish Academy of Sciences, Warszaw, 2012, pp. 149–156.Search in Google Scholar

[251] CIUNGU, L. C.—KELEMENOVá, J.—RIEČAN, B.: A new point of view to the inclusion – Exclusion principle. In: IEEE 6th International Conference Intelligent systems, 2012, pp. 142–144.Search in Google Scholar

[252] DUCHOŇ, M.—RIEČAN, B.: Probability on Hilbert space effect algebras, Tatra Mt. Math. Publ. 52 (2012), 141–151.Search in Google Scholar

[253] RIEČAN, B.: Analysis of fuzzy logic models. In: Intelligent Systems – INTECH, 2012, pp. 219–244.Search in Google Scholar

[254] RIEČAN, B.: On Lagrange mean value theorem for functions on Atanassov IF-sets, Notes on IFS 18 (2012), 8–11.Search in Google Scholar

[255] SHANNON, A.—RIEČAN, B.—OROZOVA, D.—SOTIROVA, E.—ATANASSOV, K.—KRAWCZAK, M.—MELO-PEDRO, P.—PARVATHI, R.—KIM, T.: Generalized net model of the process of selection and usage of an intelligent e-learning system. In: 6th IEEE International Conference Intelligent systems: IS 2012, Sofia, Bulgaria, 6-8 September, 2012, Piscataway: IEEE, 2012, pp. 233–236.Search in Google Scholar

[256] POVAŽAN, J.—RIEČAN, B.: Fuzzy sets and small systems. In: Proc. Int. Conf. Applications of Mathematics, 2013, pp. 185–187.Search in Google Scholar

[257] RIEČAN, B.: Pravdepodobnost’ a lineárnost’, Obzory matematiky, fyziky a informatiky 42 (2013), 11–18.Search in Google Scholar

[258] RIEČAN, B.: Variation on a Poincaré theorem, Fuzzy Sets and Systems 232 (2013), 39–45.Search in Google Scholar

[259] RIEČAN, B.: On the Kluvánek construction of the Lebesgue integral, Acta Univ. Palack. Olomuc. Fac. Rerum Natur. Math. 52 (2013), 99–105.Search in Google Scholar

[260] RIEČAN, B.—BAN, A.—ATANASSOV, K.: Modifications of the weight-center operator, defined over intuitionistic fuzzy sets. Part 1, Issues in Intuitionistic Fuzzy Sets and Generalized Nets 19 (2013), 1–4.Search in Google Scholar

[261] RIEČAN, B.—BAN, A.—ATANASSOV, K.: Modification of weight-center operator, defined over intuitionistic fuzzy sets, Part 2, Notes on IFS 19 (2013), 1–5.Search in Google Scholar

[262] RIEČAN, B.—BAN, A.—ATANASSOV, K.: Modifications of the weight-center operator, defined over intuitionistic fuzzy sets, Part 3, Notes on IFS, 19 (2013), 20–24.Search in Google Scholar

[263] RIEČAN, B.: On the principal component analysis and the correlation coeficient, In: New Trends Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized nets and related Topics, vol. I, Foundations (K. T. Atanassov et. al., eds.), 2013, pp. 129–136.Search in Google Scholar

[264] RIEČAN, B.: On the law of large numbers for IF-events, Notes on IFS 19 (2013), 42–46.Search in Google Scholar

[265] CIUNGU, L.—RIEČAN, B.: The inclusion-exclusion principle for IF-states, Iran. J. Fuzzy Syst. 11 (2014), 17–25.Search in Google Scholar

[266] MICHALíKOVá, A.—RIEČAN, B.: Uncertainty inspired by economical models, Notes on IFS 20 (2014), 69–74.Search in Google Scholar

[267] RIEČAN, B.—ATANASSOV, K. A.: Some properties of operations conjunction and disjunction from Łukasiewicz type over intuitionistic fuzzy sets. Part 1, Notes on IFS 20 (2014), 1–5.Search in Google Scholar

[268] RIEČAN, B.—ATANASSOV, K. A.: Some properties of operations conjunction and disjunction from Łukasiewicz type over intuitionistic fuzzy sets. Part 2, Notes on IFS 20 (2014), 6–10.Search in Google Scholar

[269] RIEČAN, B.: Minitheory of definite integral, Obzory matematiky, fyziky a informatiky 43 (2014), 25–37.Search in Google Scholar

[270] RIEČAN, B.: On the Kluvánek construction of the Lebesgue integral with respect to a vector measure, Math. Slovaca 64 (2014), 727–740.Search in Google Scholar

[271] RIEČAN, B.: On finitely additive IF-states, In: Intelligent Systems’ 2014, Springer, Berlin, 2014, pp. 149–156.Search in Google Scholar

[272] RIEČAN, B.: A general point of view to inclusion - exclusion property. In: Modern Approaches in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized nets and related Topics I: Foundations, Warsaw, 2014, pp. 171–180.Search in Google Scholar

[273] RIEČAN, B.—MICHALíKOVá, A.: On the continuity of probability on IF sets. In: Strengthening Links Between Data Analysis and Soft Computing 315, Advances in Intelligent Systems and Computing (P. Grzegorzewski et al., eds.), Springer, 2015, pp. 63–70.Search in Google Scholar

[274] RIEČAN, B.: Embedding of IF-states to MV-algebras, Intelligent Systems’ 2014, (2015), 157–162.Search in Google Scholar

[275] RIEČAN, B.: O pravdepodobnosti a miere [On Probability and Measure], 2nd extended edition, BELIANUM, Banská Bystrica, 2015, pp. 146. http://publikacie.umb.sk/prirodne-vedy/matematika-a-statistika/o-pravdepodobnosti-a-miere.htmlSearch in Google Scholar

[276] RIEČAN, B.: Miniteória pravdepodobnosti [Minitheory of probability], BELIANUM, Banská Bystrica, 2015. http://publikacie.umb.sk/prirodne-vedy/matematika-a-statistika/miniteoria-pravdepodobnosti.htmlSearch in Google Scholar

[277] ANGELOVA, N.—ATANASSOV, K. T.—RIEČAN, B.: Intercriteria analysis of the intuitionistic fuzzy implication properties, Notes on IFS 21 (2015), 20–23.Search in Google Scholar

[278] ČUNDERLíKOVá, K.—RIEČAN, B.: On an intuitionistic fuzzy probability theory. In: Advances in Intelligent Systems and Computing: Dependability Engineering and Complex Systems 401, Springer, Wroclaw, 2016, pp. 125–136.Search in Google Scholar

[279] RIEČAN, B.: On the Atanassov concept of fuzziness and one of its modification. In: Imprecision and Uncertainty in Information Representation and Processing: New Tools Based on Intuitionistic Fuzzy Sets and Generalized Nets, Springer, 2016, pp. 27–40.Search in Google Scholar

[280] KLUVANCOVá, D.—RIEČAN, B.: On IF-numbers, Notes on IFS 22 (2016), 9–14.Search in Google Scholar

[281] MARKECHOVá, D.—RIEČAN, B.: Entropy of fuzzy partitions and entropy of fuzzy dynamical systems, Entropy 18 (2016), 1–10.Search in Google Scholar

[282] MARKECHOVá, D.—RIEČAN, B.: Logical entropy of fuzzy dynamical systems, Entropy 18 (2016), 1–16.Search in Google Scholar

[283] POVAŽAN, J.—RIEČAN, B.: On partially ordered product spaces. In: Advances in Intelligent Systems and Computing 401, Springer, Wroclaw, 2016, pp. 29–35.Search in Google Scholar

[284] RIEČAN, B.: On IF-semistates, Notes on IFS 12 (2016), 27–34.Search in Google Scholar

[285] TISHEVA, D.—RIEČAN, B.—ATANASSOV, K. T.: On intuitionistic fuzzy norms and distances generated by the intuitionistic fuzzy substractions ’11 and ”11, Notes on IFS 22 (2016), 7–12.Search in Google Scholar

[286] BUREVA, V.—MICHALíKOVá, A.—SOTIROVA, E.—POPOV, S.—RIEČAN, B.—ROEVA, O.: Application of the InterCriteria analysis to the universities rankings system in the Slovak Republic, Notes on IFS 23 (2017), 128–140.Search in Google Scholar

[287] MARKECHOVá, D.—RIEČAN, B.: Kullback-Leibler divergence and mutual information of partitions in product MV algebras, Entropy 19 (2017), Art. no. 267, 1–18.Search in Google Scholar

[288] MARKECHOVá, D.—RIEČAN, B.: Logical entropy and logical mutual information of experiments in the intuitionistic fuzzy case, Entropy 19 (2017), Art. no. 429, 1–19.Search in Google Scholar

[289] MICHALíKOVá, A.—RIEČAN, B.: On the Lebesgue IF-measure, Notes on IFS 23 (2017), 8–12.Search in Google Scholar

[290] RIEČAN, B.—MARKECHOVá, D.:ϕ -entropy of IF-partitions, Notes on IFS 23 (2017), 9–16.Search in Google Scholar

[291] RIEČAN, B.—SAMUELČIK, K.: On non-additive probability measures, Math. Slovaca 67 (2017), 1571–1576.Search in Google Scholar

[292] ČUNDERLíKOVá, K.—RIEČAN, B.: On two formulations of the representation theorem for an IF-state. In: Advances in Intelligent Systems and Computing: Uncertainty and Imprecision in Decision Making and Decision Support: Cross-Fertilization, New Models, and Applications, 559, 2018, pp. 65–70.Search in Google Scholar

[293] MICHALíKOVá, A.—RIEČAN, B.: On invariant measures on intuitionistic fuzzy sets. In: Advances in Intelligent Systems and Computing: Advances in Fuzzy Logic and Technology 2017, 642, 2018, pp. 529–534.Search in Google Scholar

[294] MICHALíKOVá, A.—RIEČAN, B.: On some methods of probability, Notes on IFS 24 (2018), 76–83.Search in Google Scholar

[295] MARKECHOVá, D.—RIEČAN, B.: Rényi entropy and Rényi divergence in product MV-algebras, Entropy 20 (2018), Art. no. 587, 1–19.Search in Google Scholar

[296] MARKECHOVá, D.—RIEČAN, B.: Tsallis entropy of product MV-algebra dynamical systems, Entropy 20 (2018), Art. no. 589, 1–19.Search in Google Scholar

[297] MICHALíKOVá, A.—RIEČAN, B.: On invariant IF-state, Soft Computing 22 (2018), 5043 -5049.Search in Google Scholar

[298] MICHALíKOVá, A.—RIEČAN, B.: On states on fuzzy MV-algebra. In: Advances in Intelligent Systems and Computing, Proceedings of IWIFSGN 2018 Conference, Springer, Warsaw, 2018, to appear.Search in Google Scholar

[299] MARKECHOVá, D.—RIEČAN, B.: K-L divergence, entropy and mutual information of experiments in the intuitionistic fuzzy case, J. Intelligent Fuzzy Systems, to appear.Search in Google Scholar

[300] MARKECHOVá, D.—RIEČAN, B.: General type of entropy of IF-dynamical systems, J. Intelligent Fuzzy Systems, to appear.Search in Google Scholar

[301] RIEČAN, B.—MARKECHOVá, D.: Rényi entropy and Rényi divergence in the intuitionistic fuzzy case, Tatra Mt. Math. Publ., to appear.Search in Google Scholar

[302] MARKECHOVá, D.—RIEČAN, B.: Logical entropy of dynamical systems in product MV-algebras and general scheme, Adv. Difference Equ., to appear.Search in Google Scholar

[303] ČUNDERLíKOVá, K.—RIEČAN, B.: Convergence of intuitionistic fuzzy observables, Proceeding IWIFSGN 2018, to appear.Search in Google Scholar

THE LAST MONOGRAPHS AND CHAPTERS IN BOOKS OF B. RIEČAN

[M1] RIEČAN, B.—NEUBRUNN, T.: Integral, Measure, and Ordering, Kluwer Acad. Publ., Dordrecht, Inter Science, Bratislava, 1997.Search in Google Scholar

[M2] BERGER, R.—RIEČAN, B.: Matematika a hudba, VEDA, Bratislava, 1997.Search in Google Scholar

[M3] BOCCUTO, A.—RIEČAN, B.—VRáBELOVá, M.: Kurzweil-Henstock Integral in Riesz Spaces, Betham, 2009.Search in Google Scholar

[M4] HRONEC, O.—SULAČEK, J.—RIEČAN, B.: Starý pán, kniha o Jurovi Hroncovi a jeho dobe, VEDA, Bratislava, 1999.Search in Google Scholar

[M5] NEMOGA, K.—RIEČAN, B.: Matematika v b-mol, Štefan Schwarz, matematik a pedagóg, VEDA, Bratislava, 1999.Search in Google Scholar

[M6] BARTKOVá, R.—RIEČAN, B.—TIRPáKOVá, A.: Probability Theory for Fuzzy Quantum Spaces with Statistical Applications, UAE: Bentham Science Publishers, Sharjah, 2017, 190 p. ISBN 978-1-68108-539-5.Search in Google Scholar

[DHJR] DVUREČENSKIJ, A.—HOLá, L’.—JANKOVá, K.—RIEČAN, B.: Tibor Neubrunn (1929-1990). In: Dějiny matematiky, 61, MatfyzPress, Prague, 2016, 131 p. ISBN 978-80-7378-313-6.Search in Google Scholar

[Ch1] RIEČAN, B.—MUNDICI, D.: Probability on MV-algebras. In: Handbook of Measure Theory, vol II (E. Pap., ed.), North Holland, Amsterdam, 2002, pp. 869–910.Search in Google Scholar

Received: 2018-09-01
Accepted: 2018-09-01
Published Online: 2018-10-20
Published in Print: 2018-10-25

© 2018 Mathematical Institute Slovak Academy of Sciences