Bipolar inverse fuzzy graphs

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Khalili Majid; Borzooei Rajabali; Ebrahimibagha D.

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Journal Paper

Paper Information

Journal: سیستم های فازی و کاربردها Year:2023 | Volume:6 | Issue:1 Page(s): 269-285

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Information Journal Paper

Title

Bipolar inverse fuzzy graphs

Author(s)

Khalili Majid | Borzooei Rajabali | Ebrahimibagha D. | Issue Writer Certificate

Keywords

Fuzzy graph

Fuzzy I-graph

Fuzzy BI-graph

Threshold graph

Abstract

In this paper, bipolar inverse Fuzzy graphs are introduced. Several operations are made on such graphs and whether these operations result in a bipolar inverse Fuzzy graph is investigated. A type of bipolar inverse Fuzzy graphs called strong bipolar inverse Fuzzy graphs have been studied. The complement graph and dependent threshold of a bipolar inverse Fuzzy graph are introduced and it is concluded that the complement of a bipolar inverse Fuzzy graph is a strong bipolar inverse Fuzzy graph. An inclusion condition regarding Threshold graphs corresponding to two bipolar inverse Fuzzy graphs with special conditions will result.

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