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

2024-08-29T09:06:01Z

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

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	{{issue/data		{{issue/data
	\| issue = [[Notes on Intuitionistic Fuzzy Sets/21/3\|"Notes on ~~IFS~~", Volume 21, 2015, Number 3]], pages 66—79		\| issue = [[Notes on Intuitionistic Fuzzy Sets/21/3\|"Notes on Intuitionistic Fuzzy Sets", Volume 21, 2015, Number 3]], pages 66—79
	\| file = NIFS-21-3-66-79.pdf		\| file = NIFS-21-3-66-79.pdf
	\| format = PDF		\| format = PDF

Vassia Atanassova: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}..."

2015-10-06T13:05:38Z

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 2015 year|{{PAGENAME}}]]
{{issue/title
| title = Transversals of intuitionistic fuzzy directed hypergraphs
| shortcut = nifs/21/3/66-79
}}
{{issue/author
| author = K. K. Myithili
| institution = Department of Mathematics, Vellalar College for Women
| address = Erode - 638 012, Tamilnadu, India
| email-before-at = myth_maths
| email-after-at = rediffmail.com
}}
{{issue/author
| author = Rangasamy Parvathi
| institution = Department of Mathematics, Vellalar College for Women
| address = Erode - 638 012, Tamilnadu, India
| email-before-at = paarvathis
| email-after-at = rediffmail.com
}}

{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/21/3|"Notes on IFS", Volume 21, 2015, Number 3]], pages 66—79
| file = NIFS-21-3-66-79.pdf
| format = PDF
| size = 238
| abstract = Hypergraph is a graph in which an edge can connect more than two vertices. Directed hypergraphs are much like standard directed graphs. In usual directed graph, standard arcs connect a single tail node to a single head node whereas in the intuitionistic fuzzy directed hypergraph, hyperarcs connect a set of tail nodes to a set of head nodes. A transversal is a line that intersects two lines whereas in intuitionistic fuzzy directed hypergraph the transversals, is a hyperarc that intersects two or more hyperedges. In this paper, operations on intuitionistic fuzzy transversals of intuitionistic fuzzy directed hypergraphs are introduced and some of their properties are discussed. Further, operations like union, join, intersection, structural subtraction, composition and cartesian product on intuitionistic fuzzy directed hypergraphs are defined and studied with minimal intuitionistic fuzzy transversals as the edge set.
| keywords = Intuitionistic fuzzy directed hypergraph, Transversals, Operations.
| ams = 03E72.
| references =
# Atanassov. K. T. (1999) [[Intuitionistic Fuzzy Sets: Theory and Applications]], New York, Physica-verlag, Heidelberg.
# Atanassov K. T. (2002) [[Issue:On index matrix representation of the intuitionistic fuzzy graphs|On index matrix representation of the intuitionistic fuzzy graphs]], Notes on Intuitionistic Fuzzy Sets, 4, 73–78.
# Atanassov, K. T. (2014) [[Index Matrices: Towards an Augmented Matrix Calculus]], Springer, Cham.
# Atanassov, K. T. (2012) [[On Intuitionistic Fuzzy Sets Theory]], Springer, Berlin.
# Berge, C. Graphs and Hypergraphs, North-Holland, NewYork, 1976.
# Mordeson, N. J. & Nair, S. P. (2000) Fuzzy graphs and fuzzy hypergraphs, New York, Physica-verlag.
# Parvathi, R. & Karunambigai, M. G. (2006) Intuitionistic fuzzy graphs, Proceedings of 9th Fuzzy Days International Conference on Computational Intelligence, Advances in soft computing: Computational Intelligence, Theory and Applications, Springer-Verlag, 20, 139– 150.
# Parvathi, R., Karunambigai, M. G & Atanassov, K. T (2009) Operations on Intuitionistic fuzzy graphs, Proceedings of IEEE International Conference on Fuzzy Systems (FUZZIEEE), August 2009, 1396–1401.
# Parvathi, R., Thilagavathi, S. & Karunambigai, M. G. (2009) Intuitionistic fuzzy hypergraph, Bulgarian Academy of Sciences, Cybernetics and Information Technologies, 9(2), 46–53.
# Parvathi, R, Thilagavathi, S. & Karunambigai, M. G. (2012) Operations on intuitionistic fuzzy hypergraphs, International Journal of Computer Applications, 51(5), 46–54.
# Parvathi, R. & Thilagavathi, S. (2013) Intuitionistic fuzzy directed hypergraphs, Advances in Fuzzy Sets and Systems 14(1), 39–52.
# Rosenfeld, A. (1975) Fuzzy graphs, Fuzzy sets and their applications, L.A.Zadeh, K.S.Fu and M.Shimura Eds, Academic Press, New York, 77–95.
# Goetschel, R., Jr. (1995) Introduction to fuzzy hypergraphs and hebbian structures, Fuzzy Sets and Systems, 76, 113–130.
# Goetschel, R., Jr., Craine, W.L. & Voxman, W. (1996) Fuzzy transversals of fuzzy hypergraphs, Fuzzy Sets and Systems, 84, 235–254.
# Goetschel, R., Jr. (1998) Fuzzy colorings of fuzzy hypergraphs, Fuzzy Sets and Systems, 94, 185–204.
# Myithili, K. K, Parvathi, R. & Akram, M (2014) Certain types intuitionistic fuzzy directed hypergraph, International Journal of Cybernatics and Machine Learning, DOI 10.1007/s13042-014-0235-1, 1–9.
# Shannon, A. & Atanassov, K. (1994) [[Issue:A first step to a theory of the intuitionistic fuzzy graphs|A first step to a theory of the intuitionistic fuzzy graphs]], Proc.of the First Workshop on Fuzzy Based Expert Systems(D. Lakov, Ed.), Sofia, Sept. 28–30, 59–61.

| citations =
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}}

Issue:Transversals of intuitionistic fuzzy directed hypergraphs - Revision history

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

Vassia Atanassova: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}..."