المؤلفون: Ahmadzade, Hamed, Amini, Mohammad, Taheri, Seyed Mahmoud, Bozorgnia, Abolghasem

مصطلحات موضوعية: keyword:fuzzy random variable, keyword:quadratic form, keyword:linearly negative quadrant dependence, keyword:law of large numbers, keyword:almost surely convergence, msc:60F05, msc:60F15

وصف الملف: application/pdf

Relation: mr:MR3501164; zbl:Zbl 1374.60014; reference:[1] Ahmadzade, H., Amini, M., Taheri, S. M., Bozorgnia, A.: Some limit theorems for independent fuzzy random variables.Thaiwan J. Math. 12 (2014), 537-548. Zbl 1328.60081, MR 3291684; reference:[2] Ahmadzade, H., Amini, M., Taheri, S. M., Bozorgnia, A.: Some moment inequalities for fuzzy martingales and their applications.J. Uncertainty Anal. Appl. 2 (2014), 1-14. 10.1186/2195-5468-2-7; reference:[3] Aumann, R. J.: Integrals of set-valued functions.J. Math. Anal. Appl. 12 (1965), 1-12. Zbl 0163.06301, MR 0185073, 10.1016/0022-247x(65)90049-1; reference:[4] Cuzich, J., Gine, E., Zinn, J.: Laws of large numbers for quadratic forms, maxima of products and truncated sums of i.i.d. random variables.Ann. Probab. 23 (1995), 292-333. MR 1330772, 10.1214/aop/1176988388; reference:[5] Eghbal, N., Amini, M., Bozorgnia, A.: Some maximal inequalities for quadratic forms of negative superadditive dependence random variables.Stat. Probab. 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الاتاحة: http://hdl.handle.net/10338.dmlcz/145777

المؤلفون: Malinowski, Marek T., Michta, Mariusz

مصطلحات موضوعية: keyword:fuzzy random variable, keyword:fuzzy stochastic process, keyword:fuzzy stochastic Lebesgue–Aumann integral, keyword:fuzzy stochastic Itô integral, keyword:stochastic fuzzy differential equation, keyword:stochastic fuzzy integral equation, msc:03E72, msc:60H05, msc:60H10, msc:60H30

وصف الملف: application/pdf

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الاتاحة: http://hdl.handle.net/10338.dmlcz/141483

المؤلفون: Frič, Roman, Papčo, Martin

مصطلحات موضوعية: keyword:domain of probability, keyword:fuzzy random variable, keyword:crisp random event, keyword:fuzzy observable, keyword:fuzzification, keyword:category of $ID$-poset, keyword:epireflection, keyword:simplex-valued domains, msc:60A05, msc:60A86

وصف الملف: application/pdf

Relation: mr:MR2797424; zbl:Zbl 1219.60006; reference:[1] Bugajski, S.: Statistical maps I.Basic properties. Math. Slovaca 51 (2001), 321–342. Zbl 1088.81021, MR 1842320; reference:[2] Bugajski, S.: Statistical maps II.Basic properties. Math. Slovaca 51 (2001), 343–361. Zbl 1088.81022, MR 1842321; reference:[3] Chovanec, F., Frič, R.: States as morphisms.Internat. J. Theoret. Phys. 49 (2010), 3050–3100. Zbl 1204.81011, MR 2738063, 10.1007/s10773-009-0234-4; reference:[4] Chovanec, F., Kôpka, F.: $D$-posets.In: Handbook of Quantum Logic and Quantum Structures: Quantum Structures. (K. Engesser, D. M. Gabbay and D. Lehmann, eds.), Elsevier, Amsterdam 2007, pp. 367–428. Zbl 1139.81005, MR 2408886; reference:[5] Dvurečenskij, A., Pulmannová, S.: New Trends in Quantum Structures.Kluwer Academic Publ. and Ister Science, Dordrecht and Bratislava 2000. MR 1861369; reference:[6] 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:[7] Frič, R.: Statistical maps: a categorical approach.Math. Slovaca 57 (2007), 41–57. Zbl 1137.60300, MR 2357806, 10.2478/s12175-007-0013-8; reference:[8] Frič, R.: Extension of domains of states.Soft Comput. 13 (2009), 63–70. Zbl 1166.28006, 10.1007/s00500-008-0293-0; reference:[9] Frič, R.: Simplex-valued probability.Math. Slovaca 60 (2010), 607–614. Zbl 1249.06032, MR 2728526, 10.2478/s12175-010-0035-5; reference:[10] Frič, R.: States on bold algebras: Categorical aspects.J. Logic Comput. (To appear). DOI:10.1093/logcom/exp014 MR 2802938; reference:[11] Frič, R., Papčo, M.: On probability domains.Internat. J. Theoret. Phys. 49 (2010), 3092–3063. Zbl 1204.81012, 10.1007/s10773-009-0162-3; reference:[12] Frič, R., Papčo, M.: A categorical approach to probability theory.Studia Logica 94 (2010), 215–230. Zbl 1213.60021, MR 2602573, 10.1007/s11225-010-9232-z; reference:[13] Gudder, S.: Fuzzy probability theory.Demonstratio Math. 31 (1998), 235–254. Zbl 0984.60001, MR 1623780; reference:[14] Kôpka, F., Chovanec, F.: D-posets.Math. Slovaca 44 (1994), 21–34. MR 1290269; reference:[15] Mesiar, R.: Fuzzy sets and probability theory.Tatra Mt. Math. Publ. 1 (1992), 105–123. Zbl 0790.60005, MR 1230469; reference:[16] Papčo, M.: On measurable spaces and measurable maps.Tatra Mt. Math. Publ. 28 (2004), 125–140. Zbl 1112.06005, MR 2086282; reference:[17] Papčo, M.: On fuzzy random variables: examples and generalizations.Tatra Mt. Math. Publ. 30 (2005), 175–185. Zbl 1152.60302, MR 2190258; reference:[18] Papčo, M.: On effect algebras.Soft Comput. 12 (2007), 26–35. 10.1007/s00500-007-0171-1; reference:[19] 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. Zbl 1017.28002, MR 1954631; reference:[20] Zadeh, L. A.: Probability measures of fuzzy events.J. Math. Anal. Appl. 23 (1968), 421–427. Zbl 0174.49002, MR 0230569, 10.1016/0022-247X(68)90078-4

الاتاحة: http://hdl.handle.net/10338.dmlcz/141463

المؤلفون: Hong, Dug Hun, Kim, Kyung Tae

مصطلحات موضوعية: keyword:fuzzy number, keyword:fuzzy random variable, keyword:weak law of large numbers, msc:60B12, msc:60F05

وصف الملف: application/pdf

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الاتاحة: http://hdl.handle.net/10338.dmlcz/135756

المؤلفون: Hong, Dug Hun

مصطلحات موضوعية: keyword:fuzzy number, keyword:fuzzy random variable, keyword:strong law of large numbers, msc:60B12

وصف الملف: application/pdf

Relation: mr:MR1995730; zbl:Zbl 1249.60007; reference:[1] Artstein Z., Vitale R. A.: A strong law of large numbers for random compact sets.Ann. Probab. 13 (1985), 307–309 MR 0770645; reference:[2] Goetschel R., Voxman W.: Elementary fuzzy calculus.Fuzzy Sets and Systems 18 (1986), 31–43 Zbl 0626.26014, MR 0825618, 10.1016/0165-0114(86)90026-6; reference:[3] Hiai F.: Strong laws of large numbers for multivalued fuzzy random variables (Lecture Notes in Mathematics 1091).Springer–Verlag, Berlin 1984, pp. 160–172 MR 0785583, 10.1007/BFb0098809; reference:[4] Hong D. H., Kim H. J.: Marcinkiewicz-type law of large numbers for fuzzy random variables.Fuzzy Sets and Systems 64 (1994), 387–393 Zbl 0859.60003, MR 1289544, 10.1016/0165-0114(94)90161-9; reference:[5] Inoue H.: A strong law of large numbers for fuzzy random sets.Fuzzy Sets and Systems 41 (1991), 285–291 Zbl 0737.60003, MR 1111975, 10.1016/0165-0114(91)90132-A; reference:[6] Joo S. Y., Lee S. S., Yoo Y. H.: A strong law of large numbers for stationary fuzzy random variables.J. Korean Statist. Soc. 30 (2001), 153–161 MR 1892638; reference:[7] Joo S. Y., Kim Y. K.: The Skorokhod topology on space of fuzzy numbers.Fuzzy Sets and Systems 111 (2000), 497–501 Zbl 0961.54024, MR 1748559, 10.1016/S0165-0114(98)00185-7; reference:[8] Kim Y. K.: A strong law of large numbers for fuzzy random variables.Fuzzy Sets and Systems 111 (2000), 319–323 MR 1748548; reference:[9] Klement E. P., Puri M. L., Ralescu D. A.: Limit theorems for fuzzy random variables.Proc. Roy. Soc. London Ser. A 407 (1986), 171–182 Zbl 0605.60038, MR 0861082; reference:[10] Kruse R.: The strong law of large numbers for fuzzy random variables.Inform. Sci. 28 (1982), 233–241 Zbl 0571.60039, MR 0717301, 10.1016/0020-0255(82)90049-4; reference:[11] Miyakoshi M., Shimbo M.: A strong law of large numbers for fuzzy random variables.Fuzzy Sets and Systems 12 (1984), 133–142 Zbl 0551.60035, MR 0734945, 10.1016/0165-0114(84)90033-2; reference:[12] Molchanov I. S.: On strong law of large numbers for fuzzy random upper semi-continuous functions.J. Math. Anal. Appl. 235 (1999), 349–355 MR 1758687, 10.1006/jmaa.1999.6403; reference:[13] Puri M. L., Ralescu D. A.: Strong law of large numbers for Banach space valued random sets.Ann. Probab. 11 (1983), 222–224 Zbl 0508.60021, MR 0682812, 10.1214/aop/1176993671; reference:[14] Puri M. L., Ralescu D. A.: Limit theorems for random compact set in Banach space.Math. Proc. Cambridge Philos. Soc. 97 (1985), 403–409 MR 0764504; reference:[15] Puri M. L., Ralescu D. A.: Fuzzy random variables.J. Math. Anal. Appl. 114 (1986), 402–422 Zbl 0605.60038, MR 0833596; reference:[16] Rao R. R.: The law of large numbers for $D[0,1]$-valued random variables.Theor. Probab. Appl. 8 (1963), 70–74 Zbl 0122.13303, 10.1137/1108005; reference:[17] Taylor R. L., Inoue H.: A strong law of large numbers for random sets in Banach spaces.Bull. Inst. Math., Academia Sinica 13 (1985), 403–409 Zbl 0585.60014, MR 0866575; reference:[18] Uemura T.: A law of large numbers for random sets.Fuzzy Sets and Systems 59 (1993), 181–188 Zbl 0788.60005, MR 1253840, 10.1016/0165-0114(93)90197-P

الاتاحة: http://hdl.handle.net/10338.dmlcz/135528

المؤلفون: López-García, Hortensia, Gil, María Angeles, Corral, Norberto, López, María Teresa

مصطلحات موضوعية: keyword:fuzzy random variable, keyword:estimation, keyword:fuzzy hyperbolic inequality, msc:04A72, msc:62A86, msc:62D05, msc:62D99

وصف الملف: application/pdf

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الاتاحة: http://hdl.handle.net/10338.dmlcz/135194