Certain Types of Interval-Valued Fuzzy Graphs | Zendy

Muhammad Akram | Zendy; N. O. Alshehri | Zendy; Wiesław A. Dudek | Zendy

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Certain Types of Interval-Valued Fuzzy Graphs

Author(s) -

Muhammad Akram,

N. O. Alshehri,

Wiesław A. Dudek

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/857070

Subject(s) - mathematics , interval (graph theory) , indifference graph , fuzzy logic , discrete mathematics , interval graph , fuzzy set , pathwidth , combinatorics , computer science , artificial intelligence , graph , line graph

We propose certain types of interval-valued fuzzy graphs including balanced interval-valued fuzzy graphs, neighbourly irregular interval-valued fuzzy graphs, neighbourly total irregular interval-valued fuzzy graphs, highly irregular interval-valued fuzzy graphs, and highly total irregular interval-valued fuzzy graphs. Some interesting properties associated with these new interval-valued fuzzy graphs are investigated, and necessary and sufficient conditions under which neighbourly irregular and highly irregular interval-valued fuzzy graphs are equivalent are obtained. We also describe the relationship between intuitionistic fuzzy graphs and interval-valued fuzzy graphs

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