Vassia Atanassova: Text replacement - ""Notes on IFS", Volume" to ""Notes on Intuitionistic Fuzzy Sets", Volume"

2024-08-29T09:04:37Z

Text replacement - ""Notes on IFS", Volume" to ""Notes on Intuitionistic Fuzzy Sets", Volume"

← Older revision		Revision as of 12:04, 29 August 2024
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	\| issue = [[Notes on Intuitionistic Fuzzy Sets/21/4\|"Notes on ~~IFS~~", Volume 21, 2015, Number 4]], pages 23–33		\| issue = [[Notes on Intuitionistic Fuzzy Sets/21/4\|"Notes on Intuitionistic Fuzzy Sets", Volume 21, 2015, Number 4]], pages 23–33
	\| file = NIFS-21-4-023-033.pdf		\| file = NIFS-21-4-023-033.pdf
	\| format = PDF		\| format = PDF

Vassia Atanassova at 11:38, 20 January 2016

2016-01-20T11:38:56Z

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	\| title = Sendograph metric on intuitionistic fuzzy number space		\| title = Sendograph metric on intuitionistic fuzzy number space
	\| shortcut = nifs/21/4/~~023~~-~~033~~		\| shortcut = nifs/21/4/23-33
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Peter Vassilev at 11:34, 19 January 2016

2016-01-19T11:34:22Z

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	{{issue/data		{{issue/data
	\| conference =		\| conference =
	\| issue = [[Notes on Intuitionistic Fuzzy Sets/21/4\|"Notes on IFS", Volume 21, 2015, Number 4]], pages ~~6–12~~		\| issue = [[Notes on Intuitionistic Fuzzy Sets/21/4\|"Notes on IFS", Volume 21, 2015, Number 4]], pages 23–33
	\| file = NIFS-21-4-023-033.pdf		\| file = NIFS-21-4-023-033.pdf
	\| format = PDF		\| format = PDF

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

2016-01-19T11:33:22Z

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 2015 year|{{PAGENAME}}]]
{{issue/title
| title = Sendograph metric on intuitionistic fuzzy number space
| shortcut = nifs/21/4/023-033
}}

{{issue/author
| author = Fatih Kutlu
| institution = Department of Electronic and Communication Technologies
| address = Yuzuncu Yil University, Van, Turkey
| email-before-at = fatihkutlu
| email-after-at = yyu.edu.tr
}}
{{issue/author
| author = Taihe Fan
| institution = Department of Mathematic, Zhejiang Sci-Tech University
| address = Hangzhou, Zhejiang, 310018, China
| email-before-at = taihefan
| email-after-at = 163.com
}}
{{issue/author
| author = Tunay Bilgin
| institution = Department of Mathematics
| address = Yuzuncu Yil University, Van, Turkey
| email-before-at = tbilgin
| email-after-at = yyu.edu.tr
}}
{{issue/data
| conference =
| issue = [[Notes on Intuitionistic Fuzzy Sets/21/4|"Notes on IFS", Volume 21, 2015, Number 4]], pages 6–12
| file = NIFS-21-4-023-033.pdf
| format = PDF
| size = 166
| abstract = In this paper, we propose a metric based on Hausdorff distance between sendographs of intuitionistic fuzzy numbers. Then we investigate some fundamental properties
of this metric and give numerical examples. In section 3.1, it's generalized the well-known Kloeden's theorem on IFN space. In section 3.2, we show that IFN space is not complete with
respect to sendograph metric and we construct a completion of IFN space with respect to sendograph metric.
| keywords = Intuitionistic fuzzy number, Hausdorff metric, Sendograph, Endograph, Distance measure.
| ams = 03E72, 46S40
| references =
# Atanassov, K. T. (1983) Intuitionistic Fuzzy Sets, 7th Youth Scientific Session, ITCRBAS, Sofia, 20-23 July 1983. (Reprinted: Int. J. Bioautomation, 19, 2015, Suppl. 2, S131-S136.)
# Atanassov, K. T., P. Vassilev & R. Tsvetkov (2013) Intuitionistic Fuzzy Sets, Measures and Integrals, Prof. M. Drinov Academic Publishing House, Sofia.
# Atanassov, K. T. (2007) Remark on intuitionistic fuzzy numbers, Notes on Intuitionistic Fuzzy Sets, 13(3), 29–32.
# Burillo, P., H. Bustince & V. Mohedano (1994) Some definition of intuitionistic fuzzy number. First properties, Proceedings of the 1st Workshop on Fuzzy Based Expert Systems, 53–55.
# Diamond, P. & P. Kloeden (1994) Metric Spaces of Fuzzy Sets, World Scientific, Singapore.
# Fan, T. & L. Fan (2009) On the Completions of fuzzy number space with respect to sendograph metric”, FSKD.09 Proceedings of the 6th International Conference on Fuzzy Systems and Knowledge Discovery, 6, 353–357.
# Fan, T. (2004) On the compactness of fuzzy numbers with sendograph metric, Fuzzy Sets and Systems, 143, 471–477.
# Fan, T. (2008) On the compactness of fuzzy number space with respect to endograph metric”, 5th International Conference on Fuzzy Systems and Knowledge Discovery, 362–366.
# Fan, T. & G. Wang (2004) Endographic approach on supremum and infimum of fuzzy numbers, Information Sciences, 159, 221–231.
# Guha, D. & D. Chakraborty (2010) A theoretical development of distance measure for intuitionistic fuzzy numbers, International Journal of Mathematics and Mathematical Sciences, 25 pages.
# Hancl, J., L. Misk & J. T. Toth (2010) Cluster points of sequences of fuzzy real numbers”, Soft Comput., 14, 399–404.
# Grzegorzewski, P. (2004) Distances between intuitionistic fuzzy sets and/or intervalvalued fuzzy sets based on the Hausdorff metric, Fuzzy Sets and Systems, 148, 319–328.
# Grzegorzewski, P. (2003) Distances and orderings in a family of intuitionistic fuzzy numbers”, Proceedings of the EUSFLAT Conference, 223–227.
# Kaleva, O. (1985) On the convergence of fuzzy sets, Fuzzy Sets and Systems, 17, 53–65.
# Kaleva, O. (1985) Completion of fuzzy metric spaces, Journal of Mathematical Analysis and Application, 109, 194–198.
# Kloeden, P.E. (1980) Compact supported sendographs and fuzzy sets, Fuzzy Sets and Systems, 4, 193–201.
# Nanda, S. (1989) On sequences of fuzzy numbers, Fuzzy Sets and Systems, 33, 123–126.
# Seikh, M. R., P. Nayak & M. Pal (2012) Generalized triangular fuzzy number in intuitionistic fuzzy environment”, International Journal of Engineering Research and Development, 5, 8–13.
# Szmidt, E. & J. Kacprzyk (2009) A note on the Hausdorff distance between Atanassov’s intuitionistic fuzzy set, Notes on Intuitionistic Fuzzy Sets, 15(1), 1–12.

| citations =
| see-also =
}}

Issue:Sendograph metric on intuitionistic fuzzy number space - Revision history

Vassia Atanassova: Text replacement - ""Notes on IFS", Volume" to ""Notes on Intuitionistic Fuzzy Sets", Volume"

Vassia Atanassova at 11:38, 20 January 2016

Peter Vassilev at 11:34, 19 January 2016

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