Issue:About the Lp space of intuitionistic fuzzy observables - Revision history

Vassia Atanassova at 12:37, 3 July 2023

2023-07-03T12:37:41Z

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	# Čunderlíková, K. (2019). [[Issue:m-almost everywhere convergence of intuitionistic fuzzy observables induced by Borel measurable function\|'''m'''-almost everywhere convergence of intuitionistic fuzzy observables induced by Borel measurable function]]. Notes on Intuitionistic Fuzzy Sets, 25(2), 29–40.		# Čunderlíková, K. (2019). [[Issue:m-almost everywhere convergence of intuitionistic fuzzy observables induced by Borel measurable function\|'''m'''-almost everywhere convergence of intuitionistic fuzzy observables induced by Borel measurable function]]. Notes on Intuitionistic Fuzzy Sets, 25(2), 29–40.
	# Lendelová, K. (2006). Conditional IF-probability. ''Lawry, J. et al. (Eds.). Soft Methods for Integrated Uncertainty Modelling. Advances in Soft Computing'', Vol. 37, Springer-Verlag Berlag Heidelberg, 275–283.		# Lendelová, K. (2006). Conditional IF-probability. ''Lawry, J. et al. (Eds.). Soft Methods for Integrated Uncertainty Modelling. Advances in Soft Computing'', Vol. 37, Springer-Verlag Berlag Heidelberg, 275–283.
	# Riečan, B. (1999). On the $L^p$ space of observables. Fuzzy Sets and Systems, 105(2), 299–306.		# Riečan, B. (1999). On the <math>L^p</math> space of observables. Fuzzy Sets and Systems, 105(2), 299–306.
	# Riečan, B. (2000). On the $L^p$ space of observables on product MV algebras. International Journal of Theoretical Physics, 39(3), 851–858.		# Riečan, B. (2000). On the <math>L^p</math> space of observables on product MV algebras. International Journal of Theoretical Physics, 39(3), 851–858.
	# Riečan, B. (2006). On a problem of Radko Mesiar: General form of IF-probabilities. Fuzzy Sets and Systems, 157(11), 1485–1490.		# Riečan, B. (2006). On a problem of Radko Mesiar: General form of IF-probabilities. Fuzzy Sets and Systems, 157(11), 1485–1490.
	# Riečan, B. (2006). On the probability and random variables on IF events. In: Ruan, D. et al. (Eds.). Applied Artificial Intelligence, Proceedings of the 7th FLINS Conference, Genova, 138–145.		# Riečan, B. (2006). On the probability and random variables on IF events. In: Ruan, D. et al. (Eds.). Applied Artificial Intelligence, Proceedings of the 7th FLINS Conference, Genova, 138–145.

Vassia Atanassova at 12:34, 3 July 2023

2023-07-03T12:34:25Z

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	\| format = PDF		\| format = PDF
	\| size = 220		\| size = 220
	\| abstract = The aim of this paper is to define an <math>L^p</math> space of intuitionistic fuzzy observables. We work in an intuitionistic fuzzy space <math>({\mathcal F}, {\bf m})<math> with product, where <math>\mathcal F</math> is a family of intuitionistic fuzzy events and <math>{\bf m}</math> is an intuitionistic fuzzy state. We prove that the space <math>L^p</math> with corresponding intuitionistic fuzzy pseudometric <math>\rho_{IF}</math> is a pseudometric space.		\| abstract = The aim of this paper is to define an <math>L^p</math> space of intuitionistic fuzzy observables. We work in an intuitionistic fuzzy space <math>({\mathcal F}, {\bf m})</math> with product, where <math>\mathcal F</math> is a family of intuitionistic fuzzy events and <math>{\bf m}</math> is an intuitionistic fuzzy state. We prove that the space <math>L^p</math> with corresponding intuitionistic fuzzy pseudometric <math>\rho_{IF}</math> is a pseudometric space.
	\| keywords = Intuitionistic fuzzy observable, Intuitionistic fuzzy state, Joint intuitionistic fuzzy observable, Function of several intuitionistic fuzzy observables, Product, ''L<sup>p</sup>'' space, Pseudometric space, Intuitionistic fuzzy pseudometric.		\| keywords = Intuitionistic fuzzy observable, Intuitionistic fuzzy state, Joint intuitionistic fuzzy observable, Function of several intuitionistic fuzzy observables, Product, ''L<sup>p</sup>'' space, Pseudometric space, Intuitionistic fuzzy pseudometric.
	\| ams = 03B52, 60A86.		\| ams = 03B52, 60A86.

Vassia Atanassova at 12:34, 3 July 2023

2023-07-03T12:34:02Z

← Older revision		Revision as of 15:34, 3 July 2023
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	\| format = PDF		\| format = PDF
	\| size = 220		\| size = 220
	\| abstract = The aim of this paper is to define an $L^p$ space of intuitionistic fuzzy observables. We~work in an intuitionistic fuzzy space $({\mathcal F}, {\bf m})$ with product, where $\mathcal F$ is a family of intuitionistic fuzzy events and ${\bf m}$ is an intuitionistic fuzzy state. We prove that the space $L^p$ with corresponding intuitionistic fuzzy pseudometric $\rho_{IF}$ is a pseudometric space.		\| abstract = The aim of this paper is to define an <math>L^p</math> space of intuitionistic fuzzy observables. We work in an intuitionistic fuzzy space <math>({\mathcal F}, {\bf m})<math> with product, where <math>\mathcal F</math> is a family of intuitionistic fuzzy events and <math>{\bf m}</math> is an intuitionistic fuzzy state. We prove that the space <math>L^p</math> with corresponding intuitionistic fuzzy pseudometric <math>\rho_{IF}</math> is a pseudometric space.
	\| keywords = Intuitionistic fuzzy observable, Intuitionistic fuzzy state, Joint intuitionistic fuzzy observable, Function of several intuitionistic fuzzy observables, Product, ''L<sup>p</sup>'' space, Pseudometric space, Intuitionistic fuzzy pseudometric.		\| keywords = Intuitionistic fuzzy observable, Intuitionistic fuzzy state, Joint intuitionistic fuzzy observable, Function of several intuitionistic fuzzy observables, Product, ''L<sup>p</sup>'' space, Pseudometric space, Intuitionistic fuzzy pseudometric.
	\| ams = 03B52, 60A86.		\| ams = 03B52, 60A86.

Vassia Atanassova at 12:19, 3 July 2023

2023-07-03T12:19:57Z

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	}}		}}
	{{issue/data		{{issue/data
	\| conference = 26<sup>th</sup> [[~~ICIFS~~]], Sofia, 26—27 June 2023		\| conference = 26<sup>th</sup> [[International Conference on Intuitionistic Fuzzy Sets]], Sofia, 26—27 June 2023
	\| issue = [[Notes on Intuitionistic Fuzzy Sets/29/2\|Notes on Intuitionistic Fuzzy Sets, Volume 29 (2023), Number 2]], pages 90–98		\| issue = [[Notes on Intuitionistic Fuzzy Sets/29/2\|Notes on Intuitionistic Fuzzy Sets, Volume 29 (2023), Number 2]], pages 90–98
	\| doi = https://doi.org/10.7546/nifs.2023.29.2.90-98		\| doi = https://doi.org/10.7546/nifs.2023.29.2.90-98

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2023-07-03T12:19:17Z

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| title = About the ''Lp'' space of intuitionistic fuzzy observables
| shortcut = nifs/29/2/90-98
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{{issue/author
| author = Katarína Čunderlíková
| institution = Mathematical Institute, Slovak Academy of Sciences
| address = Štefánikova 49, 814 73 Bratislava, Slovakia
| email-before-at = cunderlikova.lendelova
| email-after-at = gmail.com
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{{issue/data
| conference = 26th [[ICIFS]], Sofia, 26—27 June 2023
| issue = [[Notes on Intuitionistic Fuzzy Sets/29/2|Notes on Intuitionistic Fuzzy Sets, Volume 29 (2023), Number 2]], pages 90–98
| doi = https://doi.org/10.7546/nifs.2023.29.2.90-98
| file = NIFS-29-2-090-098.pdf
| format = PDF
| size = 220
| abstract = The aim of this paper is to define an $L^p$ space of intuitionistic fuzzy observables. We~work in an intuitionistic fuzzy space $({\mathcal F}, {\bf m})$ with product, where $\mathcal F$ is a family of intuitionistic fuzzy events and ${\bf m}$ is an intuitionistic fuzzy state. We prove that the space $L^p$ with corresponding intuitionistic fuzzy pseudometric $\rho_{IF}$ is a pseudometric space.
| keywords = Intuitionistic fuzzy observable, Intuitionistic fuzzy state, Joint intuitionistic fuzzy observable, Function of several intuitionistic fuzzy observables, Product, ''Lp'' space, Pseudometric space, Intuitionistic fuzzy pseudometric.
| ams = 03B52, 60A86.
| references =
# Atanassov, K. T. (1983). Intuitionistic fuzzy sets, VII ITKR Session, Sofia, 20-23 June 1983 (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Reprinted: Int. J. Bioautomation, 2016, 20(S1), S1–S6.
# Atanassov, K. T. (1999). [[Intuitionistic Fuzzy Sets: Theory and Applications]], Physica Verlag, New York.
# Atanassov, K. T. (2012). [[On Intuitionistic Fuzzy Sets]], Springer, Berlin.
# Bartková, R., & Čunderlíková, K. (2018). About Fisher–Tippett–Gnedenko Theorem for Intuitionistic Fuzzy Events. In: Kacprzyk, J., et al. (eds) Advances in Fuzzy Logic and Technology 2017. IWIFSGN 2017, EUSFLAT 2017. Advances in Intelligent Systems and Computing, Vol. 641, Springer, Cham, 125–135.
# Čunderlíková, K. (2019). [[Issue:m-almost everywhere convergence of intuitionistic fuzzy observables induced by Borel measurable function|'''m'''-almost everywhere convergence of intuitionistic fuzzy observables induced by Borel measurable function]]. Notes on Intuitionistic Fuzzy Sets, 25(2), 29–40.
# Lendelová, K. (2006). Conditional IF-probability. ''Lawry, J. et al. (Eds.). Soft Methods for Integrated Uncertainty Modelling. Advances in Soft Computing'', Vol. 37, Springer-Verlag Berlag Heidelberg, 275–283.
# Riečan, B. (1999). On the $L^p$ space of observables. Fuzzy Sets and Systems, 105(2), 299–306.
# Riečan, B. (2000). On the $L^p$ space of observables on product MV algebras. International Journal of Theoretical Physics, 39(3), 851–858.
# Riečan, B. (2006). On a problem of Radko Mesiar: General form of IF-probabilities. Fuzzy Sets and Systems, 157(11), 1485–1490.
# Riečan, B. (2006). On the probability and random variables on IF events. In: Ruan, D. et al. (Eds.). Applied Artificial Intelligence, Proceedings of the 7th FLINS Conference, Genova, 138–145.
# Riečan, B. (2007). Probability theory on intuitionistic fuzzy events. In: Aguzzoli, D. et al. (eds) A volume in honour of Daniele Mundici’s 60th birthday. Lecture Notes in Computer Science, Springer, 290–308.
# Riečan, B. (2012). Analysis of fuzzy logic models. In: Koleshko, V. (Ed.). Intelligent Systems, INTECH, 219–244.

| citations =
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