Title:
|
Statistical maps: a categorical approach (English) |
Author:
|
Frič, Roman |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
|
0139-9918 |
Volume:
|
57 |
Issue:
|
1 |
Year:
|
2007 |
Pages:
|
41-57 |
. |
Category:
|
math |
. |
MSC:
|
60A05 |
idZBL:
|
Zbl 1137.60300 |
idMR:
|
MR2357806 |
. |
Date available:
|
2009-09-25T14:36:13Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/130056 |
. |
Reference:
|
[1] ADÁMEK J.: Theory of Mathematical Structures.Reidel, Dordrecht, 1983. MR 0735079 |
Reference:
|
[2] BELTRAMETTI E. G.-BUGAJSKI S.: Correlation and entaglement in probability theory.Internat. J. Theoret. Phуs. 44 (2005), 827-837. MR 2199500 |
Reference:
|
[3] BUGAJSKI S.: Fundamentals of fuzzy probability theory.Internt. J. Theoret. Phуs. 35 (1996), 2229-2244. Zbl 0872.60003, MR 1423402 |
Reference:
|
[4] BUGAJSKI S.: S: tatistical maps I. Basic properties.Math. Slovaca 51 (2001), 321-342. MR 1842320 |
Reference:
|
[5] BUGAJSKI S.: Statistical maps II. Operational random variables.Math. Slovaca 51 (2001), 343-361. Zbl 1088.81022, MR 1842321 |
Reference:
|
[6] DVUREČENSKIJ A.-PULMANNOVÁ S.: New Trends in Quantum Structures.Kluwer Academic Publ./Ister Science, Dordrecht/Bratislava, 2000. Zbl 0987.81005, MR 1861369 |
Reference:
|
[7] FOULIS D. J.-BENNETT M. K.: Effect algebras and unsharp quantum logics.Found. Phуs. 24 (1994), 1331-1352. Zbl 1213.06004, MR 1304942 |
Reference:
|
[8] FRIČ R.: Convergence and duality.Appl. Categ. Structures 10 (2002), 257-266. Zbl 1015.06010, MR 1916158 |
Reference:
|
[9] FRIČ R.: Łukasiewicz tribes are absolutely sequentially closed bold algebras.Czechoslovak Math. J. 52 (2002), 861-874. Zbl 1016.28013, MR 1940065 |
Reference:
|
[10] FRIČ R.: Duality for generalized events.Math. Slovaca 54 (2004), 49-60. Zbl 1076.22004, MR 2074029 |
Reference:
|
[11] FRIČ R.: Coproducts of D-posets and their applications to probability.Internt. J. Theoret. Phys. 43 (2004), 1625-1632. MR 2108299 |
Reference:
|
[12] FRIČ R.: Remarks on statistical maps and fuzzy (operational) random variables.Tatra Mt. Math. Publ. 30 (2005), 21-34. Zbl 1150.60304, MR 2190245 |
Reference:
|
[13] FRIČ R.: Extension of measures: a categorical approach.Math. Bohemica 130 (2005), 397-407. Zbl 1107.54014, MR 2182385 |
Reference:
|
[14] GUDDER S.: Fuzzy probability theory.Demonstratio Math. 31 (1998), 235-254. Zbl 0984.60001, MR 1623780 |
Reference:
|
[15] KÔPKA F.-CHOVANEC F.: D-posets.Math. Slovaca 44 (1994), 21-34. Zbl 0789.03048, MR 1290269 |
Reference:
|
[16] LOÈVE M.: Probability Theory.D. Van Nostrand Companу, Inc, Princeton, 1963. Zbl 0108.14202, MR 0203748 |
Reference:
|
[17] PAPČO M.: On measurable spaces and measurable maps.Tatra Mt. Math. Publ. 28 (2004), 125-140. Zbl 1112.06005, MR 2086282 |
Reference:
|
[18] PAPČO M.: On fuzzy random variables: examples and generalizations.Tatra Mt. Math. Publ. 30 (2005), 175-185. Zbl 1152.60302, MR 2190258 |
Reference:
|
[19] PAPČO M.: On effect algebras.Preprint. Zbl 1127.06003 |
Reference:
|
[20] PURI M. L.-RALESCU D. A.: Fuzzy random variables.J. Math. Anal. Appl. 114 (1986), 409-422. Zbl 0605.60038, MR 0833596 |
Reference:
|
[21] RIEČAN B.-MUNDICI D.: Probability on MV-algebras.In: Handbook of Measure Theory, Vol. II (E. Pap, ed.), North-Holland, Amsterdam, 2002, 869-910. Zbl 1017.28002, MR 1954631 |
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