A B C D E F G H I J K L M N O P Q R S T U V W X Y Z All
Ragavan, C.
- Intuitionistic Fuzzifications of R-Ideals in BCI-Algebras
Authors
1 Jamal Mohamed College, Trichy, Tamil Nadu, IN
2 Sri Vidya Mandir Arts & Science College, Uthangarai, Krishnagiri, IN
Source
International Journal of Fuzzy Mathematics and Systems, Vol 2, No 1 (2012), Pagination: 53-63Abstract
The notion of intuitionist fuzzy R-ideals in BCI-algebras are introduced. Conditions for an intuitionist fuzzy ideal to be an intuitionist fuzzy R-ideal is provided. Using a collection of an ideal, intuitionist fuzzy R-ideals are established.
AMS Subject Classification: 06F35, 03G25
Keywords
R-ideal, Intuitionist Fuzzy Sub-Algebra, (Closed) Intuitionist Fuzzy Ideal, Intuitionist Fuzzy R-ideal
References
- K.T. Atanassov, Intuitionist fuzzy sets, Fuzzy sets and Systems, 20(1986), 87- 96
- K.T. Atanassov, New operations defined over the intuitionist fuzzy sets, Fuzzy sets and Systems, 61(1994), 137-142
- Kiyoshi iseki and T. Shotaro, An introduction to the theory of BCK-algebras, Math Japon, 23(1978), 1-26.
- Kiyoshi iseki and T. Shotaro, Ideal theory of BCK-algebras, Math. Japonica, 21(1976), 351-366.
- Jianming Zhan and Zhisong Tan, Characterizations of doubt fuzzy Hideals in BCK-algebras, Soochow Journal of Mathematics, 29(2003), 290-293.
- Y.B. Jun and K.H. Kim, Intuitionist fuzzy ideals of BCK-algebras, Internat J. Math and Mtha. Sci., 24(2000), 839-849.
- B. Satyanarayana and R. Durga Prasad, Product of intuitionist fuzzy BCKalgebras, Advances in Fuzzy Mathematics, 4(2009), 1-8.
- B. Satyanarayana and R. Durga Prasad, Direct product of finite intuitionistic fuzzy BCK-algebras, Global Journal of Pure and Applied Mathematics, 5(2009), 125-138
- L.A. Zadeh, Fuzzy sets, Information Control, 8(1965), 338-353. Received: January, 2010
- Edge Magic Combinations of Spiders
Authors
1 Jamal Mohamed College, Tiruchirappalli, Tamilnadu, IN
2 Sri Vidya Mandir Arts & Science College, Uthangarai, Krishnagiri, IN
Source
International Journal of Fuzzy Mathematics and Systems, Vol 2, No 1 (2012), Pagination: 65-69Abstract
A total edge magic labeling of a graph with n vertices and m edges is a bijection f from VUE to the integers 1,2,……..,m + n such that there exists a constant s for any edge (u,v) in E satisfying f(u) + f(v) + f(u,v)=s. A graph is called an total edge magic graph if it has a total edge magic labeling. In this paper, we combine the spider graphs Sm,2 (m>0) with star graphs Sn (n>0) forming new graphs and show them to be total edge magic.
AMS Classification code: 05C78
Keywords
Graph Labeling, Antimagic, SpidersReferences
- Gallian, J.A., A dynamic survey of graph labeling. The Electronic Journal of Combinatorics, Vol. 14(2007), # DS6.
- Harary, F., Graph Theory, Addision Wesley, New Delhi,1972.
- Enomoto, H., Llado, Nagamigawa,T., and Ringel, R., On Super edge-magic graphs, SUT J. Math.,34(1998), pp. 105-109.
- Solairaju,A. and Raziya Begam,R., Edge-magic labeling of some graphs , presented in the National Conference on Applied Mathematics, March 22-23, 2007, Periyar E.V.R. College, Trichy.