Next Article in Journal
Reflection Negative Kernels and Fractional Brownian Motion
Next Article in Special Issue
A Classical Group of Neutrosophic Triplet Groups Using {Z2p, ×}
Previous Article in Journal
Hesitant Fuzzy Linguistic Aggregation Operators Based on the Hamacher t-norm and t-conorm
Previous Article in Special Issue
New Operations of Totally Dependent-Neutrosophic Sets and Totally Dependent-Neutrosophic Soft Sets
Open AccessArticle

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.
Symmetry 2018, 10(6), 190; https://doi.org/10.3390/sym10060190
Received: 25 February 2018 / Revised: 17 May 2018 / Accepted: 21 May 2018 / Published: 31 May 2018
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
Show Figures

Figure 1

MDPI and ACS Style

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.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map

1
Back to TopTop