Bipolar fuzzy graphs with applications

Authors:
Muhammad Akram
Affiliations:
Punjab University College of Information Technology, University of the Punjab, Old Campus, Lahore 54000, Pakistan
Venue:
Knowledge-Based Systems
Year:
2013

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Abstract

The concepts of neighbourly irregular bipolar fuzzy graphs, neighbourly totally irregular bipolar fuzzy graphs, highly irregular bipolar fuzzy graphs and highly totally irregular bipolar fuzzy graphs are introduced and investigated. A necessary and sufficient condition under which neighbourly irregular and highly irregular bipolar fuzzy graphs are equivalent is discussed. The notion of bipolar fuzzy digraphs is introduced. The bipolar fuzzy influence graph of a social group is also described.