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Symmetry 2018, 10(6), 190; https://doi.org/10.3390/sym10060190

Some Results on the Graph Theory for Complex Neutrosophic Sets

1
A-Level Academy, UCSI College KL Campus, Lot 12734, Jalan Choo Lip Kung, Taman Taynton View, Cheras 56000, Kuala Lumpur, Malaysia
2
Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, B.P 7955 Sidi Othman, Casablanca, Morocco
3
Department of Actuarial Science and Applied Statistics, Faculty of Business & Information Science, UCSI University, Jalan Menara Gading, Cheras 56000, Kuala Lumpur, Malaysia
4
Ecole Royale Navale, Boulevard Sour Jdid, B.P 16303 Casablanca, Morocco
5
Department of Mathematics, University of New Mexico, 705 Gurley Avenue, Gallup, NM 87301, USA
*
Author to whom correspondence should be addressed.
Received: 25 February 2018 / Revised: 17 May 2018 / Accepted: 21 May 2018 / Published: 31 May 2018

Abstract

Fuzzy graph theory plays an important role in the study of the symmetry and asymmetry properties of fuzzy graphs. With this in mind, in this paper, we introduce new neutrosophic graphs called complex neutrosophic graphs of type 1 (abbr. CNG1). We then present a matrix representation for it and study some properties of this new concept. The concept of CNG1 is an extension of the generalized fuzzy graphs of type 1 (GFG1) and generalized single-valued neutrosophic graphs of type 1 (GSVNG1). The utility of the CNG1 introduced here are applied to a multi-attribute decision making problem related to Internet server selection. View Full-Text
Keywords: complex neutrosophic set; complex neutrosophic graph; fuzzy graph; matrix representation complex neutrosophic set; complex neutrosophic graph; fuzzy graph; matrix representation
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Quek, S.G.; Broumi, S.; Selvachandran, G.; Bakali, A.; Talea, M.; Smarandache, F. Some Results on the Graph Theory for Complex Neutrosophic Sets. Symmetry 2018, 10, 190.

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