Dergiler / TWMS Journal of Applied and Engineering Mathematics / 2019 / Cilt: 9 - Sayı: 2

MEASUREMENT OF PLANARITY IN PRODUCT BIPOLAR FUZZY GRAPHS

S. NAZ, S. ASHRAF, H. RASHMANLOU

Sayfa
339–350
DOI
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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 denition of product bipolar fuzzy graphs PBFGs in [16] is modied. 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.

MEASUREMENT OF PLANARITY IN PRODUCT BIPOLAR FUZZY GRAPHS — AJindex