Vassia Atanassova: doi

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	{{issue/data		{{issue/data
	\| issue = [[Notes on Intuitionistic Fuzzy Sets/26/1\|Notes on Intuitionistic Fuzzy Sets, Volume 26 (2020), Number 1]], pages 36–45		\| issue = [[Notes on Intuitionistic Fuzzy Sets/26/1\|Notes on Intuitionistic Fuzzy Sets, Volume 26 (2020), Number 1]], pages 36–45
	\| doi =		\| doi = https://doi.org/10.7546/nifs.2020.26.1.36-45
	\| file = NIFS-26-1-36-45.pdf		\| file = NIFS-26-1-36-45.pdf
	\| format = PDF		\| format = PDF
	\| size = ~~142~~		\| size = 175
	\| abstract = In this paper we have introduced a method to generate the topologies using the intuitionistic fuzzy numbers, which is the extension work of the topologies generated by the fuzzy numbers. For this we have used (α,β)-cut of intuitionistic fuzzy number, triangular intuitionistic fuzzy number and trapezoidal intuitionistic fuzzy numbers.		\| abstract = In this paper we have introduced a method to generate the topologies using the intuitionistic fuzzy numbers, which is the extension work of the topologies generated by the fuzzy numbers. For this we have used (α,β)-cut of intuitionistic fuzzy number, triangular intuitionistic fuzzy number and trapezoidal intuitionistic fuzzy numbers.
	\| keywords = Fuzzy number, Triangular fuzzy number, Trapezoidal fuzzy number,α-cut of fuzzy numbers, Intuitionistic fuzzy number, Triangular Intuitionistic fuzzy number, Trapezoidal Intuitionistic fuzzy number, (α,β)-cut of intuitionistic fuzzy numbers.		\| keywords = Fuzzy number, Triangular fuzzy number, Trapezoidal fuzzy number,α-cut of fuzzy numbers, Intuitionistic fuzzy number, Triangular Intuitionistic fuzzy number, Trapezoidal Intuitionistic fuzzy number, (α,β)-cut of intuitionistic fuzzy numbers.
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	# Atanassov, K. (1986). Intuitionistic ~~Fuzzy Sets~~, Fuzzy Sets and System, 20 (1), 87–96.		# Atanassov, K. (1986). [[Issue:Intuitionistic fuzzy sets\|Intuitionistic fuzzy sets]], Fuzzy Sets and System, 20 (1), 87–96.
	# Atanassov, K. (2012). On Intuitionistic Fuzzy Sets Theory, Springer, Berlin.		# Atanassov, K. (2012). [[On Intuitionistic Fuzzy Sets Theory]], Springer, Berlin.
	# Burillo, P., Bustince, H. & Mohedano, V. (1994). Some definitions of intuitionistic fuzzy number, Fuzzy based expert systems, fuzzy Bulgarian enthusiasts, Sofia, Bulgaria, 1994, 28–30.		# Burillo, P., Bustince, H. & Mohedano, V. (1994). Some definitions of intuitionistic fuzzy number, Fuzzy based expert systems, fuzzy Bulgarian enthusiasts, Sofia, Bulgaria, 1994, 28–30.
	# Klir, G. J., & Yuan, B. (1995). Fuzzy Sets and Fuzzy Logic, Theory and Applications, Prentice Hall, Inc., Upper Saddle River.		# Klir, G. J., & Yuan, B. (1995). Fuzzy Sets and Fuzzy Logic, Theory and Applications, Prentice Hall, Inc., Upper Saddle River.

Peter Vassilev: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}..."

2020-06-03T10:23:06Z

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

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[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2020 year|{{PAGENAME}}]]
{{issue/title
| title = Topologies generated by intuitionistic fuzzy numbers
| shortcut = nifs/26/1/36-45
}}
{{issue/author
| author = R. Santhi
| institution = Department of Mathematics, N.G.M., College
| address = Pollachi, Tamilnadu, India
| email-before-at = santhifuzzy
| email-after-at = yahoo.co.in
}}
{{issue/author
| author = E. Kungumaraj
| institution = Department of Mathematics, Sri Krishna Arts and Science College
| address = Coimbatore, Tamilnadu, India
| email-before-at = kungum99522
| email-after-at = gmail.com
}}

{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/26/1|Notes on Intuitionistic Fuzzy Sets, Volume 26 (2020), Number 1]], pages 36–45
| doi =
| file = NIFS-26-1-36-45.pdf
| format = PDF
| size = 142
| abstract = In this paper we have introduced a method to generate the topologies using the intuitionistic fuzzy numbers, which is the extension work of the topologies generated by the fuzzy numbers. For this we have used (α,β)-cut of intuitionistic fuzzy number, triangular intuitionistic fuzzy number and trapezoidal intuitionistic fuzzy numbers.
| keywords = Fuzzy number, Triangular fuzzy number, Trapezoidal fuzzy number,α-cut of fuzzy numbers, Intuitionistic fuzzy number, Triangular Intuitionistic fuzzy number, Trapezoidal Intuitionistic fuzzy number, (α,β)-cut of intuitionistic fuzzy numbers.
| ams = 03F55, 54A05.
| references =

# Atanassov, K. (1986). Intuitionistic Fuzzy Sets, Fuzzy Sets and System, 20 (1), 87–96.
# Atanassov, K. (2012). On Intuitionistic Fuzzy Sets Theory, Springer, Berlin.
# Burillo, P., Bustince, H. & Mohedano, V. (1994). Some definitions of intuitionistic fuzzy number, Fuzzy based expert systems, fuzzy Bulgarian enthusiasts, Sofia, Bulgaria, 1994, 28–30.
# Klir, G. J., & Yuan, B. (1995). Fuzzy Sets and Fuzzy Logic, Theory and Applications, Prentice Hall, Inc., Upper Saddle River.
# Padmapriya, R., & Thangavelu, P. (2014). Topologies Generated by the α cuts of a Fuzzy set, International Journal of Mathematical Archive, 2, 1–10.
# Padmapriya, R., & Thangavelu, P. (2015). Characterization of Nearly open sets using Fuzzy sets, Global Journal of pure and applied Mathematics, 11, 18–20.
# Padmapriya, R., & Thangavelu, P. (2015). Topologies Generated by the Fuzzy numbers, International Journal of Engineering Trends and Technology, 4, 243–246.
# Sharma, P. K. (2011). α,β-Cut of Intuitionistic fuzzy modules, International Journal of Mathematical Sciences and Applications, 1 (3), 1489–1492.
# Shaw, A. K., & Roy, T. K. (2012). Some Arithmetic operations on Triangular Intuitionistic Fuzzy number and its applications on reliability evaluation, International Journal of Fuzzy Mathematics and Systems, 2, 363–382.
# Zadeh, L. (1965). Fuzzy sets, Journal of Information and Controls, 8, 338–353.

| citations =
| see-also =
}}

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