Issue:On intuitionistic fuzzy version of Zadeh's extension principle - Revision history

Vassia Atanassova: paper links to NIFS

2021-10-26T09:54:53Z

paper links to NIFS

← Older revision		Revision as of 12:54, 26 October 2021
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	# Akın, Ö., & Bayeğ, S. (2019). Some results on the fundamental concepts of fuzzy set theory in intuitionistic fuzzy environment by using <math>\alpha</math>- and <math>\beta</math>-cuts. Filomat, 33(10), 3123–3148.		# Akın, Ö., & Bayeğ, S. (2019). Some results on the fundamental concepts of fuzzy set theory in intuitionistic fuzzy environment by using <math>\alpha</math>- and <math>\beta</math>-cuts. Filomat, 33(10), 3123–3148.
	# Atanassov, K. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96.		# Atanassov, K. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96.
	# Atanassova, L. (2006). On ~~Intuitionistic~~ fuzzy versions of L. Zadeh’s extension principle. Notes on Intuitionistic Fuzzy Sets, 13(3), 33–36.		# Atanassova, L. (2006). [[Issue:On intuitionistic fuzzy versions of L. Zadeh's extension principle\|On intuitionistic fuzzy versions of L. Zadeh’s extension principle]]. Notes on Intuitionistic Fuzzy Sets, 13(3), 33–36.
	# Dong, W. M., & Wong, F. S. (1987). Fuzzy weighted averages and implementation of the extension principle. Fuzzy Sets and Systems, 21(2), 183–199.		# Dong, W. M., & Wong, F. S. (1987). Fuzzy weighted averages and implementation of the extension principle. Fuzzy Sets and Systems, 21(2), 183–199.
	# De Barros, L. C., Bassanezi, R. C., & Tonelli, P.A. (1997). On the continuity of the Zadeh’s extension. 7th IFSA World Congress Proceedings, Prague, Czech Republic, 3–8.		# De Barros, L. C., Bassanezi, R. C., & Tonelli, P.A. (1997). On the continuity of the Zadeh’s extension. 7th IFSA World Congress Proceedings, Prague, Czech Republic, 3–8.
	# Hanss, M. (2002). The transformation method for the simulation and analysis of systems with uncertain parameters. Fuzzy Sets and Systems, 130(3), 277–289.		# Hanss, M. (2002). The transformation method for the simulation and analysis of systems with uncertain parameters. Fuzzy Sets and Systems, 130(3), 277–289.
	# Kerre, E. E. (2011). A tribute to Zadeh’s extension principle. Scientia Iranica, 18(3), 593–595.		# Kerre, E. E. (2011). A tribute to Zadeh’s extension principle. Scientia Iranica, 18(3), 593–595.
	# Marinov, E. (2014). On extension principle for intuitionistic fuzzy sets. Notes on Intuitionistic Fuzzy Sets, 20(3), 34–41.		# Marinov, E. (2014). [[Issue:On extension principle for intuitionistic fuzzy sets\|On extension principle for intuitionistic fuzzy sets]]. Notes on Intuitionistic Fuzzy Sets, 20(3), 34–41.
	# Nguyen, H. T. (1978). A note on the extension principle for fuzzy sets. Journal of Mathematical Analysis and Applications, 64(2), 369–380.		# Nguyen, H. T. (1978). A note on the extension principle for fuzzy sets. Journal of Mathematical Analysis and Applications, 64(2), 369–380.
	# Wood, K. L., Otto, K. N., & Antonsson, E. K. (1992). Engineering design calculations with fuzzy parameters. Fuzzy Sets and Systems, 52(1), 1–20.		# Wood, K. L., Otto, K. N., & Antonsson, E. K. (1992). Engineering design calculations with fuzzy parameters. Fuzzy Sets and Systems, 52(1), 1–20.

Vassia Atanassova: Vassia Atanassova moved page Issue:On intuitionistic fuzzy version of Zadeh’s extension principle to Issue:On intuitionistic fuzzy version of Zadeh's extension principle: apostrophe

2021-10-26T09:50:56Z

Vassia Atanassova moved page Issue:On intuitionistic fuzzy version of Zadeh’s extension principle to Issue:On intuitionistic fuzzy version of Zadeh's extension principle: apostrophe

← Older revision	Revision as of 12:50, 26 October 2021
(No difference)

Velin S. Andonov at 22:17, 25 October 2021

2021-10-25T22:17:25Z

← Older revision		Revision as of 01:17, 26 October 2021
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	\| format = PDF		\| format = PDF
	\| size = 177		\| size = 177
	\| abstract =		\| abstract = In this paper, by using <math>\alpha</math>- and <math>\beta</math>-cuts approach and the intuitionistic fuzzy Zadeh’s extension principle, we have proved a result which reveals that the <math>\alpha</math>- and <math>\beta</math>-cuts of an intuitionistic fuzzy number obtained by the intuitionistic fuzzy Zadeh’s extension principle coincide with the images of the <math>\alpha</math>- and <math>\beta</math>-cuts by the crisp function. Then we have given a corollary about monotonicity of the extension principle. Finally, we have extended these results to <math>IF_N(\mathbb{R}) \times IF_N(\mathbb{R})</math>.
	\| keywords =		\| keywords = Intuitionistic fuzzy sets, Intuitionistic fuzzy Zadeh’s extension principle, Zadeh’s extension principle.
	\| ams =		\| ams = 94D05, 26E50.
	\| references =		\| references =
	# Akın, Ö., & Bayeğ, S. (2017). Intuitionistic fuzzy initial value problems: An application. Hacettepe Journal of Mathematics and Statistics, 48(6), 1682–1694.		# Akın, Ö., & Bayeğ, S. (2017). Intuitionistic fuzzy initial value problems: An application. Hacettepe Journal of Mathematics and Statistics, 48(6), 1682–1694.

Velin S. Andonov: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}..."

2021-10-25T22:09:35Z

Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}..."

New page

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2021 year|{{PAGENAME}}]]
{{issue/title
| title = On intuitionistic fuzzy version of Zadeh’s extension principle
| shortcut = nifs/27/3/9-17
}}
{{issue/author
| author = Selami Bayeğ
| institution = Industrial Engineering Department, University of Turkish Aeronautical Association
| address = Ankara, Turkey
| email-before-at = sbayeg
| email-after-at = thk.edu.tr
}}
{{issue/author
| author = Raziye Mert
| institution = Department of Software Engineering, Adana Alparslan Turkes Science and Technology University
| address = Adana, Turkey
| email-before-at = rmert
| email-after-at = atu.edu.tr
}}
{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/27/3|Notes on Intuitionistic Fuzzy Sets, Volume 27 (2021), Number 3]], pages 9–17
| doi = https://doi.org/10.7546/nifs.2021.27.3.9-17
| file = NIFS-27-3-09-17.pdf
| format = PDF
| size = 177
| abstract =
| keywords =
| ams =
| references =
# Akın, Ö., & Bayeğ, S. (2017). Intuitionistic fuzzy initial value problems: An application. Hacettepe Journal of Mathematics and Statistics, 48(6), 1682–1694.
# Akın, Ö., & Bayeğ, S. (2019). Some results on the fundamental concepts of fuzzy set theory in intuitionistic fuzzy environment by using <math>\alpha</math>- and <math>\beta</math>-cuts. Filomat, 33(10), 3123–3148.
# Atanassov, K. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96.
# Atanassova, L. (2006). On Intuitionistic fuzzy versions of L. Zadeh’s extension principle. Notes on Intuitionistic Fuzzy Sets, 13(3), 33–36.
# Dong, W. M., & Wong, F. S. (1987). Fuzzy weighted averages and implementation of the extension principle. Fuzzy Sets and Systems, 21(2), 183–199.
# De Barros, L. C., Bassanezi, R. C., & Tonelli, P.A. (1997). On the continuity of the Zadeh’s extension. 7th IFSA World Congress Proceedings, Prague, Czech Republic, 3–8.
# Hanss, M. (2002). The transformation method for the simulation and analysis of systems with uncertain parameters. Fuzzy Sets and Systems, 130(3), 277–289.
# Kerre, E. E. (2011). A tribute to Zadeh’s extension principle. Scientia Iranica, 18(3), 593–595.
# Marinov, E. (2014). On extension principle for intuitionistic fuzzy sets. Notes on Intuitionistic Fuzzy Sets, 20(3), 34–41.
# Nguyen, H. T. (1978). A note on the extension principle for fuzzy sets. Journal of Mathematical Analysis and Applications, 64(2), 369–380.
# Wood, K. L., Otto, K. N., & Antonsson, E. K. (1992). Engineering design calculations with fuzzy parameters. Fuzzy Sets and Systems, 52(1), 1–20.
| citations =
| see-also =
}}