Fair Fuzzy Matching in Middle Fuzzy Graph
DOI:
https://doi.org/10.23755/rm.v43i0.820Keywords:
Fuzzy Middle Graph, Condensation of fuzzy fair matching and condensation number.Abstract
A fuzzy matching is a set of edges in which an edge does not incident on a vertex with same membership value. If every vertex of fuzzy graph is M-Plunged then the fuzzy matching is called as fair fuzzy matching. In this paper, we introduce the new concept of fair fuzzy matching in Middle fuzzy graph. We discussed some properties based on these concepts in an Absolute Fuzzy Labeling Graph.
References
Anjaly Kishore, Sunitha. M.S, Chromatic Number of Fuzzy Graph, Annals of Fuzzy Mathematics and Informatics, Vol. 10, 2013.
Arindam Dey, Dhrubajyoti Ghos, Anita Pal, Edge Coloring of Complement Fuzzy Graph, International journal of Modern Engineering Research, Vol 2, (2012).
Frank Harary, Graph Theory, Indian Student Edition, Narosa/Addison Wesley, 1988.
Logapriya. B , Pandian.K, Domination Parameters of Middle Graph of Sunlet Graph, Journal of Innovative Technology and exploring Engineering, ISSN No:2278-3075,Vol.8, Issue-8,June-2019.
Muddebihal.M.H, Naila Anjum, Independent Middle Domination Number in Graph, International journal of Recent Scientific Research, Vol 6, Issue1, PP 2434-2437, January2015.
Nivethana V and Parvathi A, Fuzzy Total Coloring and Chromatic Number of a Complete Fuzzy Graph, International Journal of Emerging Trends in Engineering and Development, Vol. 6. Issue 3, November 2013. PP 377-384.
Ranganathan .K , Balakrishnan . R, A Text Book of Graph Theory, Springer.
Rosenfeld. A, Fuzzy graphs, Fuzzy Sets and their Applications to Cognitive and Decision Process, L. A. Zadeh, K. S. Fu, K. Tanaka and M. Shimura, eds., Academic Press, New York, 1975, PP. 75-95.
Samanta.S, Pramanik.T and Pal. M, Fuzzy coloring of fuzzy graphs, Afrika Matematika, 27(1-2) (2016) 37-50.
Seethalakshmi.R and Gnanajothi.R.B, A Note on Perfect Fuzzy Matching, International Journal on Pure and Applied Mathematics, Vol. 94, N0.2, 2014,155-161.
Yahya Mohamad. S , Suganthi. S, Properties of Fuzzy Matching in Set Theory, Journal of Emerging Technologies and Innovative Research,Vol 5,issue2, July 2018.
Yahya Mohamad. S , Suganthi. S, Matching and Complete Matching Domination in Fuzzy Labelling Graph, Journal of Applied Science and Computations,Vol5,Issue10,Oct 2018.
L. A. Zadeh, Fuzzy sets, Information and Control 8 (1965), 338-353.
Downloads
Published
Issue
Section
License
This journal provides immediate open access to its content on the principle that making research freely available to the public supports a greater global exchange of knowledge. The journal is committed to real and immediate open access for academic work. All of the journal articles are free to access immediately from the date of publication. There are no charge for readers to download articles and reviews for their own scholarly use. Benefits of open access for authors, include:
- Free access for all users worldwide
- Increased visibility and readership
- Rapid publication
- No spatial constraints
- Authors can share their research papers on their personal web-pages (i.e. ResearchGate, etc.)
Ratio Mathematica publishes open access articles under the terms of the Creative Commons Attribution (CC BY) License. The Creative Commons Attribution License (CC-BY) allows users to copy, distribute and transmit an article, adapt the article and make commercial use of the article. The CC BY license permits commercial and non-commercial re-use of an open access article, as long as the author is properly attributed. Copyright on any research article published by Ratio Mathematica is retained by the author(s). Authors grant Ratio Mathematica a license to publish the article and identify itself as the original publisher. Authors also grant any third party the right to use the article freely as long as its original authors, citation details and publisher are identified.
For further information visit: https://creativecommons.org/licenses/by/3.0/. The following logo will appear in any paper that will be published from the volume number 31/2016 onwards.