Title of article :
MEASUREMENT OF PLANARITY IN PRODUCT BIPOLAR FUZZY GRAPHS
Author/Authors :
NAZ, SUMERA Department of Mathematics - Minhaj University - Lahore, Pakistan , ASHRAF, SAMINA Quality Enhancement Cell - Lahore College for Women University - Lahore, Pakistan , RASHMANLOU, HOSSEIN Department of Computer Science - University College of Rouzbahan - Sari, Iran
Abstract :
Bipolar fuzzy set theory provides a basis for bipolar cognitive modeling and
multiagent decision analysis, where in some situations, the product operator may be
preferred to the min operator, from theoretical and experimental aspects. In this paper,
the definition of product bipolar fuzzy graphs (PBFGs) in [16] is modified. The concepts
of product bipolar fuzzy multigraphs (PBFMGs), product bipolar fuzzy planar graphs
(PBFPGs) and product bipolar fuzzy dual graphs (PBFDGs) are introduced and their
properties are investigated. Meanwhile, the product bipolar fuzzy planarity value of
PBFPG is introduced. The relation between PBFPG and PBFDG is also established.
Finally, an application of the proposed concepts is provided.
Keywords :
Product bipolar fuzzy graph , product bipolar fuzzy multigraph , product bipolar fuzzy planar graph , product bipolar fuzzy dual graph
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
