Vassia Atanassova: -cat

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Peter Vassilev at 15:43, 23 April 2019

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	\| file = NIFS-25-1-12-20.pdf		\| file = NIFS-25-1-12-20.pdf
	\| format = PDF		\| format = PDF
	\| size = ~~185 Kb~~		\| size = 200
	\| abstract = In this paper we introduced and studied the properties of interval-valued intuitionistic fuzzy vector spaces (in brief IVIF space) and its IVIF standard basis. We use the concept of		\| abstract = In this paper we introduced and studied the properties of interval-valued intuitionistic fuzzy vector spaces (in brief IVIF space) and its IVIF standard basis. We use the concept of
	max-union and min-intersection algebra to define interval-valued ituitionistic fuzzy vector space.		max-union and min-intersection algebra to define interval-valued ituitionistic fuzzy vector space.

Peter Vassilev: Created page with "{{PAGENAME}} {{PAGENAME}} Category:Publications in N..."

2019-04-23T12:10:46Z

Created page with "{{PAGENAME}} {{PAGENAME}} Category:Publications in N..."

New page

[[Category:Publications on intuitionistic fuzzy modal operators|{{PAGENAME}}]]
[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2019 year|{{PAGENAME}}]]
{{issue/title
| title = Properties of interval-valued intuitionistic fuzzy vector spaces
| shortcut = nifs/25/1/12-20
}}
{{issue/author
| author = R. Santhi
| institution = PG and Research Department of Mathematics, Nallamuthu Gounder Mahalingam College
| address = Pollachi, Tamil Nadu, 642001 India
| email-before-at = santhifuzzy
| email-after-at = yahoo.co.in
}}
{{issue/author
| author = N. Udhayarani
| institution = Department of Mathematics, Nallamuthu Gounder Mahalingam College
| address = Pollachi, Tamil Nadu, 642001 India
| email-before-at = udhayaranin
| email-after-at = gmail.com
}}
{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/25/1|Notes on Intuitionistic Fuzzy Sets, Volume 25 (2019), Number 1]], pages 12–20
| doi = https://doi.org/10.7546/nifs.2019.25.1.12-20
| file = NIFS-25-1-12-20.pdf
| format = PDF
| size = 185 Kb
| abstract = In this paper we introduced and studied the properties of interval-valued intuitionistic fuzzy vector spaces (in brief IVIF space) and its IVIF standard basis. We use the concept of
max-union and min-intersection algebra to define interval-valued ituitionistic fuzzy vector space.
| keywords = Interval-valued intuitionistic fuzzy vector space, IVIF subspace, IVIF span, IVIF spanning set, dim(S), IVIF basis, IVIF standard basis.
| ams = 46A40, 52A07.
| references =

# Atanassov, K. T. 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. & Gargov, G. (1989). Interval-valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, 31, 343–349.
# Chiney, M. & Samanta, S. K. (2017). Intuitionistic fuzzy basis of an intuitionistic fuzzy vector space, Notes on Intuitionistic Fuzzy Sets, 23 (4), 62–74.
# Gehrke, M., Walker, C., & Walker, E., (2001). Some basic theory of interval-valued fuzzy sets, Transactions of the Joint IFSA World Congress and 20-th NAFIPS International Conference, July 25–28, 2001, Vancouver, British Columbia, 1332–1336.
# Hosseini, S. B., O’Regan, D. & Saadati, R. (2007). Some results on intuitionistic fuzzy spaces, Iranian Journal of Fuzzy Systems, 4 (1), 53–64.
# Huang, C. E. & Shi, F. G. (2012). On the fuzzy dimensions of fuzzy vector spaces, Iranian Journal of Fuzzy Systems, 9 (4), 141–150.
# Katsaras, A. K. & Liu, D. B. (1997). Fuzzy vector spaces and fuzzy topological vector spaces, Journal of Mathematical Analysis and Applications, 58, 135–146.
# Kumar, R. (1992). Fuzzy vector spaces and fuzzy cosets, Fuzzy Sets and Systems, 45, 109–116.
# Lubczonok, P. (1990). Fuzzy vector spaces, Fuzzy Sets and Systems, 38, 329–343.
# Malik, D.S. & Mordeson, J.N.(1991).Fuzzyvectorspaces, Inform.Sci., 55(1-3), 271–281.
# Mondal, S. (2012). Interval-valued fuzzy vector space, Annals of Pure and Applied Mathematics, 2 (1), 86–95.
# Mordeson, J. N. (1993). Bases of fuzzy vector spaces, Inform. Sci., 67 (1–2), 87–92.
# Pradhan, R., & Pal, M. (2012). Intuitionistic fuzzy linear transformations, Annals of Pure and Applied Mathematics, 1 (1), 57–68.
# Pradhan, R., & Pal, M. (2014). Solvability of system of intuitionistic fuzzy linear equations, International Journal of Fuzzy Logic Systems, 4 (3), 13–24.
# Shi, F. G. & Huang, C. E. (2010). Fuzzy bases and the fuzzy dimension of fuzzy vector space, Mathematical Communications, 15 (2), 303–310.
# Zadeh, L. A. (1965). Fuzzy sets, Information and Control, 8, 338–353.

| citations =
| see-also =
}}

Issue:Properties of interval-valued intuitionistic fuzzy vector spaces - Revision history

Vassia Atanassova: -cat

Peter Vassilev at 15:43, 23 April 2019

Peter Vassilev: Created page with "{{PAGENAME}} {{PAGENAME}} Category:Publications in N..."