1. Some Results on the Graph Theory for Complex Neutrosophic Sets
- Author
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Said Broumi, Assia Bakali, Ganeshsree Selvachandran, Mohamed Talea, Florentin Smarandache, and Shio Gai Quek
- Subjects
complex neutrosophic set ,0209 industrial biotechnology ,complex neutrosophic graph ,fuzzy graph ,matrix representation ,Physics and Astronomy (miscellaneous) ,Selection (relational algebra) ,Computer science ,Mathematics::General Mathematics ,General Mathematics ,media_common.quotation_subject ,Matrix representation ,02 engineering and technology ,Type (model theory) ,Fuzzy graph theory ,Asymmetry ,020901 industrial engineering & automation ,0202 electrical engineering, electronic engineering, information engineering ,Computer Science (miscellaneous) ,Fuzzy graph ,media_common ,lcsh:Mathematics ,Graph theory ,Extension (predicate logic) ,lcsh:QA1-939 ,Algebra ,Chemistry (miscellaneous) ,020201 artificial intelligence & image processing ,Symmetry (geometry) ,MathematicsofComputing_DISCRETEMATHEMATICS - Abstract
Fuzzy graph theory plays an important role in the study of the symmetry and asymmetryproperties 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.
- Published
- 2019
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