Open problems posed at the eighth international conference on fuzzy set theory and applications
Radko Mesiar; Erich Peter Klement
Kybernetika (2006)
- Volume: 42, Issue: 2, page 225-235
- ISSN: 0023-5954
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topMesiar, Radko, and Klement, Erich Peter. "Open problems posed at the eighth international conference on fuzzy set theory and applications." Kybernetika 42.2 (2006): 225-235. <http://eudml.org/doc/33802>.
@article{Mesiar2006,
abstract = {Several open problems posed during FSTA 2006 (Liptovský Ján, Slovakia) are presented. These problems concern the classification of strict triangular norms, Lipschitz t-norms, interval semigroups, copulas, semicopulas and quasi- copulas, fuzzy implications, means, fuzzy relations, MV-algebras and effect algebras.},
author = {Mesiar, Radko, Klement, Erich Peter},
journal = {Kybernetika},
keywords = {triangular norm; copula; fuzzy implication; fuzzy relation; MV algebra; effect algebra; triangular norm; copula; fuzzy implication; fuzzy relation; MV-algebra; effect algebra},
language = {eng},
number = {2},
pages = {225-235},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Open problems posed at the eighth international conference on fuzzy set theory and applications},
url = {http://eudml.org/doc/33802},
volume = {42},
year = {2006},
}
TY - JOUR
AU - Mesiar, Radko
AU - Klement, Erich Peter
TI - Open problems posed at the eighth international conference on fuzzy set theory and applications
JO - Kybernetika
PY - 2006
PB - Institute of Information Theory and Automation AS CR
VL - 42
IS - 2
SP - 225
EP - 235
AB - Several open problems posed during FSTA 2006 (Liptovský Ján, Slovakia) are presented. These problems concern the classification of strict triangular norms, Lipschitz t-norms, interval semigroups, copulas, semicopulas and quasi- copulas, fuzzy implications, means, fuzzy relations, MV-algebras and effect algebras.
LA - eng
KW - triangular norm; copula; fuzzy implication; fuzzy relation; MV algebra; effect algebra; triangular norm; copula; fuzzy implication; fuzzy relation; MV-algebra; effect algebra
UR - http://eudml.org/doc/33802
ER -
References
top- Aczél J., Lectures on Functional Equations and their Applications, Academic Press, New York 1966 MR0208210
- Alsina C., Frank M. J., Schweizer B., 10.1007/s00010-003-2673-y, Aequationes Math. 66 (2003), 128–140 Zbl1077.39021MR2003460DOI10.1007/s00010-003-2673-y
- Alsina C., Nelsen R. B., Schweizer B., 10.1016/0167-7152(93)90001-Y, Statist. Probab. Lett. 17 (1993), 85–89 (1993) Zbl0798.60023MR1223530DOI10.1016/0167-7152(93)90001-Y
- Baczyński M., Drewniak J., Conjugacy classes of fuzzy implication, In: Computational Intelligence: Theory and Applications (B. Reusch, ed., Lecture Notes in Computer Science 1625). Springer–Verlag, Berlin 1999, pp. 287–298 (1999) MR1713698
- Budinčević M., Kurilić M. S., A family of strict and discontinuous triangular norms, Fuzzy Sets and Systems 95 (1998), 381–384 (1998) Zbl0922.04006MR1609804
- Butnariu D., Klement E. P., Triangular Norm-Based Measures and Games with Fuzzy Coalitions, Kluwer Academic Publishers, Dordrecht 1993 Zbl0804.90145MR2867321
- Butnariu D., Klement E. P., Mesiar, R., Navara M., 10.1007/s00153-004-0267-6, Arch. Math. Logic 44 (2005), 829–849 Zbl1085.03018MR2192157DOI10.1007/s00153-004-0267-6
- Darsow W. F., Nguyen, B., Olsen E. T., Copulas and Markov processes, Illinois J. Math. 36 (1992), 600–642 (1992) Zbl0770.60019MR1215798
- Baets B. De, Mesiar R., Discrete triangular norms, In: Topological and Algebraic Structures in Fuzzy Sets. A Handbook of Recent Developments in the Mathematics of Fuzzy Sets (S. E. Rodabaugh and E. P. Klement, eds.), Chapter 14, Kluwer Academic Publishers, Dordrecht 2003, pp. 389–400 Zbl1037.03046MR2046749
- Fodor J. C., Roubens M., Fuzzy Preference Modelling and Multicriteria Decision Support, Kluwer Academic Publishers, Dordrecht 1994 Zbl0827.90002
- Genest C., Quesada-Molina J. J., Rodríguez-Lallena J. A., Sempi C., 10.1006/jmva.1998.1809, J. Multivariate Anal. 69 (1999), 193–205 (1999) Zbl0935.62059MR1703371DOI10.1006/jmva.1998.1809
- Ricci R. Ghiselli, Navara M., Convexity conditions on t-norms and their additive generators, Fuzzy Sets and Systems 151 (2005), 353–361 MR2124885
- Hilbert D., 10.1090/S0002-9904-1902-00923-3, Bull. Amer. Math. Soc. 8 (1901/02), 437–479 (1901) MR1557926DOI10.1090/S0002-9904-1902-00923-3
- Jenei S., 10.1016/S0165-0114(97)00021-3, Fuzzy Sets and Systems 99 (1998), 179–186 (1998) Zbl0938.03083MR1646173DOI10.1016/S0165-0114(97)00021-3
- Karaçal F., An answer to an open problem on triangular norms, Fuzzy Sets and Systems 155 (2005), 459–463 Zbl1077.03512MR2181002
- Khrennikov A., Nánásiová O., Representation theorem of observables on a quantum system, Preprint 2003 Zbl1104.81020MR2241859
- Klement E. P., Mesiar, R., Pap E., Triangular Norms, Kluwer Academic Publishers, Dordrecht 2000 Zbl1087.20041MR1790096
- Klement E. P., Mesiar, R., Pap E., Problems on triangular norms and related operators, Fuzzy Sets and Systems 145 (2004), 471–479 Zbl1050.03019MR2075842
- Ling C. M., Representation of associative functions, Publ. Math. Debrecen 12 (1965), 189–212 (1965) MR0190575
- Mesiar R., Novák V., Open problems from the 2nd International Conference on Fuzzy Sets Theory and Its Applications, Fuzzy Sets and Systems 81 (1996), 185–190 (1996) Zbl0877.04003MR1392780
- Mesiarová A., Continuous triangular subnorms, Fuzzy Sets and Systems 142 (2004), 75–83 Zbl1043.03018MR2045344
- Mesiarová A., A note on two open problems of Alsina, Frank and Schweizer, Aequationes Math. (to appear) Zbl1101.39011MR2258805
- Moynihan R., 10.1007/BF01818536, Aequationes Math. 17 (1978), 19–40 (1978) Zbl0386.22005MR0480843DOI10.1007/BF01818536
- Nánásiová O., On conditional probabilities on quantum logic, Internat. J. Theor. Phys. 25 (1987), 155–162 (1987)
- Nánásiová O., 10.1023/A:1027384132753, Internat. J. Theor. Phys. 42 (2003), 1889–1903 Zbl1053.81006MR2023910DOI10.1023/A:1027384132753
- Nelsen R. B., 10.1007/978-1-4757-3076-0, (Lecture Notes in Statistics 139.) Springer, New York 1999 Zbl1152.62030MR1653203DOI10.1007/978-1-4757-3076-0
- Ouyang Y., Li J., 10.1016/j.ins.2004.10.011, Inform. Sci. 175 (2005), 78–84 Zbl1077.03513MR2162505DOI10.1016/j.ins.2004.10.011
- Sarkoci P., Dominance is not transitive even on continuous triangular norms, Submitted for publication
- Schweizer B., Sklar A., 10.2140/pjm.1960.10.313, Pacific J. Math. 10 (1960), 313–334 (1960) Zbl0096.33203MR0115153DOI10.2140/pjm.1960.10.313
- Schweizer B., Sklar A., Probabilistic Metric Spaces, North–Holland, New York 1983 Zbl0546.60010MR0790314
- Sklar A., Fonctions de répartition à dimensions et leurs marges, Publ. Inst. Statist. Univ. Paris 8 (1959), 229–231 (1959) MR0125600
- Sklar A., Random variables, joint distribution functions, and copulas, Kybernetika 9 (1973), 449–460 (1973) Zbl0292.60036MR0345164
- Riečanová Z., Distributive atomic effect algebras, Demonstratio Math. 36 (2003), 247–259 MR1984337
- Riečanová Z., Modular atomic effect algebras and the existence of subadditive states, Kybernetika 40 (2004), 459–468 MR2102364
- Riečanová Z., Archimedean atomic effect algebras in which all sharp elements are central, Preprint
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