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SPECIAL TYPES OF SINGLE VALUED NEUTROSOPHIC GRAPHS

Yıl 2018, Cilt: 8 Sayı: 2, 341 - 352, 01.12.2018

Öz

Neutrosophic theory has many applications in graph theory, single valued neutrosophic graph SVNG is the generalization of fuzzy graph and intuitionistic fuzzy graph. In this paper, we introduced some types of SVNGs, which are subdivision SVNGs, middle SVNGs, total SVNGs and single valued neutrosophic line graphs SVNLGs , also discussed the isomorphism, co weak isomorphism and weak isomorphism properties of subdivision SVNGs, middle SVNGs, total SVNGs and SVNLGs.

Kaynakça

  • Malik, M. A., Hassan. A., Broumi, S. and Smarandache, F., (2016), Regular single valued neutrosophic hypergraphs, Neutrosophic Sets and Systems, Vol. 13, pp. 18-23.
  • Malik, M. A., Hassan. A., Broumi, S. and Smarandache, F., (2016), Regular bipolar single valued neutrosophic hypergraphs, Neutrosophic Sets and Systems, Vol. 13, pp. 84-89.
  • Hassan. A. and Malik, M. A., (2016), Single valued neutrosophic trees, TWMS Journal of Applied and Engineering Mathematics, (In press).
  • Hassan, A. and Malik, M. A., (2017), Generalized neutrosophic hypergraphs, TWMS Journal of Applied and Engineering Mathematics, (In press).
  • Gani, A. N. and Malarvizhi, J., (2010), On antipodal fuzzy graph, Applied Mathematical Sciences, 4(43), pp. 2145-2155.
  • Wang, H., Smarandache, F., Zhang. Y. and Sunderraman, R., (2010), Single valued Neutrosophic Sets, Multisspace and Multistructure, pp. 410-413.
  • Hassan, A. and Malik, M. A., (2017), Generalized bipolar single valued neutrosophic hypergraphs, TWMS Journal of Applied and Engineering Mathematics, (In press).
  • Liu, P. D., and Tang, G. L., (2016), Some power generalized aggregation operators based on the interval neutrosophic numbers and their application to decision making, Journal of Intelligent and Fuzzy Systems 30, pp. 2517-2528.
  • Broumi, S., Talea, M., Bakali, A. and Smarandache, F., (2016), Applying Dijkstra algorithm for solving neutrosophic shortest path problem, Proceedings of the 2016 International Conference on Advanced Mechatronic Systems, Melbourne, Australia, 412-416.
  • Broumi, S., Talea, M., Bakali, A., Smarandache, F. and Vladareanu, L., (2016), Computation of shortest path problem in a network with SV-Trapezoidal neutrosophic numbers, Proceedings of the 2016 International Conference on Advanced Mechatronic Systems, Melbourne, Australia, pp.417-422.
  • Liu, P. D. and Chu, Y. C., Li, Y. W. and Chen, Y. B., (2014), Some generalized neutrosophic num- ber Hamacher aggregation operators and their application to Group Decision Making, International Journal of Fuzzy Systems, 16(2), pp. 242-255.
  • Broumi, S., Talea, M., Bakali, A., Smarandache, F., and Ali, M., (2016), Shortest path problem under bipolar neutrosphic setting, Applied Mechanics and Materials, vol.859, pp. 59-66.
  • Liu, P. D. and Wang, Y. M., (2014), Multiple attribute decision making method based on single valued neutrosophic normalized weighted bonferroni mean, Neural Computing and Applications, 25(7-8), pp. 2001-2010.
  • Liu, P. D. and Shi, L. L., (2015), The generalized hybrid weighted average operator based on interval neutrosophic hesitant set and its application to multiple attribute decision making, Neural Computing and Applications, 26(2), pp. 457-471.
  • Liu, P. D. and Wang, Y. M., (2016), Interval neutrosophic prioritized OWA operator and its application to multiple attribute decision making, Joournal of Systems Science and Complexity, 29(3), pp. 681-697.
Yıl 2018, Cilt: 8 Sayı: 2, 341 - 352, 01.12.2018

Öz

Kaynakça

  • Malik, M. A., Hassan. A., Broumi, S. and Smarandache, F., (2016), Regular single valued neutrosophic hypergraphs, Neutrosophic Sets and Systems, Vol. 13, pp. 18-23.
  • Malik, M. A., Hassan. A., Broumi, S. and Smarandache, F., (2016), Regular bipolar single valued neutrosophic hypergraphs, Neutrosophic Sets and Systems, Vol. 13, pp. 84-89.
  • Hassan. A. and Malik, M. A., (2016), Single valued neutrosophic trees, TWMS Journal of Applied and Engineering Mathematics, (In press).
  • Hassan, A. and Malik, M. A., (2017), Generalized neutrosophic hypergraphs, TWMS Journal of Applied and Engineering Mathematics, (In press).
  • Gani, A. N. and Malarvizhi, J., (2010), On antipodal fuzzy graph, Applied Mathematical Sciences, 4(43), pp. 2145-2155.
  • Wang, H., Smarandache, F., Zhang. Y. and Sunderraman, R., (2010), Single valued Neutrosophic Sets, Multisspace and Multistructure, pp. 410-413.
  • Hassan, A. and Malik, M. A., (2017), Generalized bipolar single valued neutrosophic hypergraphs, TWMS Journal of Applied and Engineering Mathematics, (In press).
  • Liu, P. D., and Tang, G. L., (2016), Some power generalized aggregation operators based on the interval neutrosophic numbers and their application to decision making, Journal of Intelligent and Fuzzy Systems 30, pp. 2517-2528.
  • Broumi, S., Talea, M., Bakali, A. and Smarandache, F., (2016), Applying Dijkstra algorithm for solving neutrosophic shortest path problem, Proceedings of the 2016 International Conference on Advanced Mechatronic Systems, Melbourne, Australia, 412-416.
  • Broumi, S., Talea, M., Bakali, A., Smarandache, F. and Vladareanu, L., (2016), Computation of shortest path problem in a network with SV-Trapezoidal neutrosophic numbers, Proceedings of the 2016 International Conference on Advanced Mechatronic Systems, Melbourne, Australia, pp.417-422.
  • Liu, P. D. and Chu, Y. C., Li, Y. W. and Chen, Y. B., (2014), Some generalized neutrosophic num- ber Hamacher aggregation operators and their application to Group Decision Making, International Journal of Fuzzy Systems, 16(2), pp. 242-255.
  • Broumi, S., Talea, M., Bakali, A., Smarandache, F., and Ali, M., (2016), Shortest path problem under bipolar neutrosphic setting, Applied Mechanics and Materials, vol.859, pp. 59-66.
  • Liu, P. D. and Wang, Y. M., (2014), Multiple attribute decision making method based on single valued neutrosophic normalized weighted bonferroni mean, Neural Computing and Applications, 25(7-8), pp. 2001-2010.
  • Liu, P. D. and Shi, L. L., (2015), The generalized hybrid weighted average operator based on interval neutrosophic hesitant set and its application to multiple attribute decision making, Neural Computing and Applications, 26(2), pp. 457-471.
  • Liu, P. D. and Wang, Y. M., (2016), Interval neutrosophic prioritized OWA operator and its application to multiple attribute decision making, Joournal of Systems Science and Complexity, 29(3), pp. 681-697.
Toplam 15 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

A. Hassan Bu kişi benim

M. A. Malik Bu kişi benim

Yayımlanma Tarihi 1 Aralık 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 8 Sayı: 2

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