Call for Papers for the 27th International Conference on Intuitionistic Fuzzy Sets is now open!
Conference: 5–6 July 2024, Burgas, Bulgaria • EXTENDED DEADLINE for submissions: 15 APRIL 2024.
Conference: 5–6 July 2024, Burgas, Bulgaria • EXTENDED DEADLINE for submissions: 15 APRIL 2024.
Issue:Basic theorems from extreme value theory for MV-algebras: Difference between revisions
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| file = Issues-14-2018-19-1-24.pdf | | file = Issues-14-2018-19-1-24.pdf | ||
| format = PDF | | format = PDF | ||
| size = | | size = 519 | ||
| abstract = In the paper the space of observables with respect to MV-algebras is considered. We prove the modification of the Fisher-Tippet Gnedenko theorem and the Pickands-Balkema-de Haan theorem for sequence of independent observables in probability MV-algebra. We show that the results for MValgebras can be applied for intuitionistic fuzzy sets and interval valued sets, too. | | abstract = In the paper the space of observables with respect to MV-algebras is considered. We prove the modification of the Fisher-Tippet Gnedenko theorem and the Pickands-Balkema-de Haan theorem for sequence of independent observables in probability MV-algebra. We show that the results for MValgebras can be applied for intuitionistic fuzzy sets and interval valued sets, too. | ||
| keywords = MV-algebra, MV-state, Observable, Joint observable, Independence, Fisher-Tippet-Gnedenko theorem, Excess distribution, Maximum domain of attraction, Generalized Pareto distribution, Extreme value theory, Pickands-Balkema-de Haan theorem. | | keywords = MV-algebra, MV-state, Observable, Joint observable, Independence, Fisher-Tippet-Gnedenko theorem, Excess distribution, Maximum domain of attraction, Generalized Pareto distribution, Extreme value theory, Pickands-Balkema-de Haan theorem. | ||
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# Atanassov, K., Intuitionistic Fuzzy sets : Theory and Applications. Physica Verlag, New York, 1999. | # Atanassov, K., Intuitionistic Fuzzy sets : Theory and Applications. Physica Verlag, New York, 1999. | ||
# Atanassov, K., On Intuitionistic Fuzzy Sets. Springer, Berlin, 2012. | # Atanassov, K., On Intuitionistic Fuzzy Sets. Springer, Berlin, 2012. | ||
# Bartková, R., K. Čunderlíková, Fisher-Tippett-Gnedenko theorem for Intuitionistic Fuzzy Events. In: Advances in Fuzzy Logic and Technology | # Bartková, R., K. Čunderlíková, Fisher-Tippett-Gnedenko theorem for Intuitionistic Fuzzy Events. In: Advances in Fuzzy Logic and Technology 2017. IWIFSGN 2017, EUSFLAT 2017. Advances in Intelligent Systems and Computing, Kacprzyk J. et al. eds., Vol. 641, Springer, Cham, 2018, 125–135. | ||
2017. IWIFSGN 2017, EUSFLAT 2017. Advances in Intelligent Systems and Computing, Kacprzyk J. et al. eds., Vol. 641, Springer, Cham, 2018, 125–135. | |||
# Bartková, R., K. Čunderlíková, The Pickands-Balkema-de Haan theorem. Notes on Intuitionistic Fuzzy Sets, 24 (2), 2018, 63–75. | # Bartková, R., K. Čunderlíková, The Pickands-Balkema-de Haan theorem. Notes on Intuitionistic Fuzzy Sets, 24 (2), 2018, 63–75. | ||
# Birkhoff, G., Lattice Theory. Vol. 25 of AMS Colloquium Publications, Providence, Rhode Island, 1973. | # Birkhoff, G., Lattice Theory. Vol. 25 of AMS Colloquium Publications, Providence, Rhode Island, 1973. | ||
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# Riečan, B., D. Mundici, Probability on MV-algebras. Handbook of Measure Theory (E. Pap. ed.), Elsevier Science B.V., Amsterdam, 2002. | # Riečan, B., D. Mundici, Probability on MV-algebras. Handbook of Measure Theory (E. Pap. ed.), Elsevier Science B.V., Amsterdam, 2002. | ||
# Riečan, B., T. Neubrunn, Integral, Measure and Ordering. Kluwer, Dordrecht, 1997. | # Riečan, B., T. Neubrunn, Integral, Measure and Ordering. Kluwer, Dordrecht, 1997. | ||
# | # Zadeh, L. A., The concept of linguistic variable and its application to approximate reasoning I. Information Sciences, 8 (3). | ||
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