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Akram, M.; Dudek, W. A.; Sarwar, S. (2013)
Languages: English
Types: Preprint
Subjects: Mathematics - Combinatorics, 05C99

Classified by OpenAIRE into

arxiv: Astrophysics::Solar and Stellar Astrophysics, Astrophysics::Galaxy Astrophysics, Mathematics::Combinatorics, Computer Science::Discrete Mathematics, Mathematics::General Mathematics
In this article, we apply the concept of bipolar fuzzy sets to hypergraphs and investigate some properties of bipolar fuzzy hypergraphs. We introduce the notion of $A-$ tempered bipolar fuzzy hypergraphs and present some of their properties. We also present application examples of bipolar fuzzy hypergraphs.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • [1] M. Akram, Bipolar fuzzy graphs, Information Sciences 181 (2011) 5548-5564.
    • [2] M. Akram, Interval-valued fuzzy line graphs, Neural Computing & Applications 21(1)(2012)145-150.
    • [3] M. Akram and W.A. Dudek, Regular bipolar fuzzy graphs, Neural Computing & Applications 21(2012)197-205.
    • [4] M. Akram and W.A. Dudek, Intuitionistic fuzzy hypergraphs with applications Information Sciences, 218(2013)182-193.
    • [5] M. Akram and W.A. Dudek, Interval-valued fuzzy graphs, Computers Math. Appl. 61 (2011) 289-299.
    • [6] M. Akram and B. Davvaz, Strong intuitionistic fuzzy graphs, Filomat 26 (2012), 177-196.
    • [7] M. Akram and M.G. Karunambigai, Metric in bipolar fuzzy graphs, World Applied Sciences Journal 14(2011)1920-1927.
    • [8] M. Akram, A.B. Saeid, K.P. Shum and B.L. Meng, Bipolar fuzzy K-algebras, International Journal of Fuzzy System, 10(3)(2010)252-258.
    • [9] M. Akram and K. H. Dar, On N -graphs, Southeast Asian Bulletin of Mathematics, 36(2012)787-800.
    • [10] C. Berge, Graphs and Hypergraphs, North-Holland, New York, 1973.
    • [11] L.S. Bershtein and A. Bozhenyuk, Fuzzy graphs and fuzzy hypergraphs, Encyclopedia of Artificial Intelligence (2009) 704-709.
    • [12] I. Bloch, Dilation and erosion of spatial bipolar fuzzy sets, Lecture Notes in Artificial Intelligence, (2007) 385-393.
    • [13] I. Bloch, Geometry of spatial bipolar fuzzy sets based on bipolar fuzzy numbers and mathematical morphology, Fuzzy Logic and Applications, Lecture Notes in Computer Science 5571(2009) 237-245.
    • [14] S.M. Chen, Interval-valued fuzzy hypergraph and fuzzy partition, IEEE Transactions on Systems, Man and Cybernetics: Cybernetics 27 (1997) 725-733.
    • [15] D. Dubois and S. Kaci and H. Prade, Bipolarity in Reasoning and Decision, an Introduction, Int. Con. on Inf. Pro. Man. Unc. IPMU'04, (2004) 959-966.
    • [16] R. Fagin, Degrees of acyclicity for hypergraphs and relational database schemes, J. Assoc. Computing Machinery 30 (1983) 514-550.
    • [17] R.H. Goetschel Jr., Introduction to fuzzy hypergraphs and Hebbian structures, Fuzzy Sets and Systems 76 (1995) 113-130.
    • [18] A. Kaufmann, Introduction a la Thiorie des Sous-Ensemble Flous, 1, Masson: Paris, 1977.
    • [19] K.-M. Lee, Bipolar-valued fuzzy sets and their basic operations, Proc. Int. Conf., Bangkok, Thailand, (2000) 307-317.
    • [20] K.-M. Lee, Comparison of interval-valued fuzzy sets, intuitionistic fuzzy sets, and bipolar-valued fuzzy sets, J. Fuzzy Logic Intell. Sys. 14(2004) 125-129.
    • [21] H. Lee-kwang and K.-M. Lee, Fuzzy hypergraph and fuzzy partition, IEEE Transactions on Systems, Man, and Cybernetics 25 (1995) 196-201.
    • [22] J.N. Mordeson and P.S. Nair, Fuzzy graphs and fuzzy hypergraphs, Physica Verlag, Heidelberg 1998; Second Edition 2001.
    • [23] R. Parvathi, S. Thilagavathi and M.G. Karunambigai, Intuitionistic fuzzy hypergraphs, Cybernetics and Information Technologies 9 (2009) 46-48.
    • [24] S. Samanta and M. Pal, Bipolar fuzzy hypergraphs, International Journal of Fuzzy Logic Systems 2(1) (2012)17-28.
    • [25] L.A. Zadeh, Fuzzy sets, Information and Control 8(1965) 338-353.
    • [26] L.A. Zadeh, Similarity relations and fuzzy orderings, Information Sciences 3(2)(1971) 177-200.
    • [27] W.-R. Zhang, Bipolar fuzzy sets and relations: a computational framework forcognitive modeling and multiagent decision analysis, Proc. of IEEE Conf., (1994) 305-309.
    • [28] W.-R. Zhang, Bipolar fuzzy sets, Proc. of FUZZ-IEEE, (1998) 835-840.
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