Geodesic
Operations on level graphs of bipolar fuzzy graphs
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2016), pp. 107-124 Cet article a éte moissonné depuis la source Math-Net.Ru

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We define the notion of level graphs of bipolar fuzzy graphs and use its to characterizations of various classical and new operations on bipolar fuzzy graphs. 
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Wieslaw A. Dudek; Ali A. Talebi. Operations on level graphs of bipolar fuzzy graphs. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2016), pp. 107-124. http://geodesic.mathdoc.fr/item/BASM_2016_2_a8/

[1] Akram M., “Bipolar fuzzy graphs”, Information Sci., 181 (2011), 5548–5564 | DOI | MR | Zbl

[2] Akram M., “Bipolar fuzzy graphs with applications”, Knowledge Based Systems, 39 (2013), 1–8 | DOI | MR

[3] Akram M., Dudek W. A., “Interval-valued fuzzy graphs”, Comput. Math. Appl., 61 (2011), 289–299 | DOI | MR | Zbl

[4] Akram M., Dudek W. A., “Regular bipolar fuzzy graphs”, Neural Computing Appl., 21 (2012), 197–205 | DOI

[5] Akram M., Dudek W. A., Sarwar S., “Properties of bipolar fuzzy hypergraphs”, Italian J. Pure Appl. Math., 31 (2013), 426–458 | MR

[6] Akram M., Li S., Shum K. P., “Antipodal bipolar fuzzy graphs”, Italian J. Pure Appl. Math., 31 (2013), 425–438 | MR

[7] Kauffman A., Introduction à la Théorie des Sous-Ensembles Flous, v. 1, Masson et cie, 1973

[8] Kondo M., Dudek W. A., “On the transfer principle in fuzzy theory”, Mathware and Soft Computing, 12 (2005), 41–55 | MR | Zbl

[9] Lee K. M., “Comparison of interval-valued fuzzy sets, intuitionistic fuzzy sets, and bipolar-valued fuzzy sets”, J. Fuzzy Logic Intell. Systems, 14 (2004), 125–129

[10] Lee K. M., “Bipolar-valued fuzzy sets and their basic operations”, Proc. Internat. Confer. on Intelligent Technologies, Bangkok, Thailand, 2000, 307–317

[11] Mordeson J. N., Peng C. S., “Operations on fuzzy graphs”, Information Sci., 79 (1994), 159–170 | DOI | MR | Zbl

[12] Parvathi R., Karunambigai N. G., Atanassov K. T., “Operations on intuitionistic fuzzy graphs”, Fuzzy Systems, FUZZ-IEEE 2009, IEEE International Conference, 2009, 1396–1401

[13] Rosenfeld A., “Fuzzy graphs”, Fuzzy Sets and their Applications, eds. L. A. Zadeh, Fu M. Shimura, Academic Press, New York, 1975, 77–95 | MR

[14] Sabiduss G., “Graphs with given group and given graph theoretical properties”, Canad. J. Math., 9 (1957), 515–525 | DOI | MR | Zbl

[15] Sabiduss G., “Graph multiplication”, Math. Z., 72 (1960), 446–457 | DOI | MR | Zbl

[16] Shannon A., Atanassov K. T., “A first step to a theory of the intuitionistic fuzzy graphs”, Proc. of FUBEST, Sofia, 1994, 59–61

[17] Shannon A., Atanassov K. T., “Intuitionistic fuzzy graphs from $\alpha$-, $\beta$-, and $(\alpha,\beta)$-levels”, Notes on Intuitionistic Fuzzy Sets, 1 (1995), 32–35 | MR | Zbl

[18] Sunitha M. S., Vijaya Kumar A., “Complement of a fuzzy graph”, Indian J. Pure Appl. Math., 33 (2002), 1451–1464 | MR | Zbl

[19] Zadeh L. A., “Fuzzy sets”, Inform. and Control, 8 (1965), 338–353 | DOI | MR | Zbl

[20] Zhang W. R., “Bipolar fuzzy sets and relations: a computational framework for cognitive modeling and multiagent decision analysis”, Proc. IEEE Conference, 1994, 305–309

[21] Zhang W. R., “Bipolar fuzzy sets”, Proc. of FUZZ-IEEE, 1998, 835–840