1Department of Mathematics, Sri K.G.S. Arts College, Srivaikuntam-628 619, Tamil Nadu, India. E-mail: subbiahkgs@gmail.com
2Department of Mathematics, M.I.E.T Engineering College, Trichy-620007, Tamilnadu, India. E-mail: anitharamesh.sec@gmail.com
AMS Mathematics Subject Classification (2010): 06F35, 03G25, 08A72, 20N25
In this paper, we apply the notion of bipolar-valued fuzzy soft set to module theory. We introduce the concept of bipolar fuzzy soft G-modules, fuzzy soft d-ideals of modules and investigate several properties. We give relations between a bipolar fuzzy soft G-modules and bipolar fuzzy soft d-ideal. We provide a condition for bipolar fuzzy soft G-modules to be a bipolar fuzzy soft d-ideal. We also give characterizations of bipolar fuzzy soft ideal. We consider the concept of strongest bipolar fuzzy relations on bipolar fuzzy soft d-ideals of a module and discuss some related properties.
G-module, Bipolar fuzzy soft G-module, d-ideals, t-cut, s-cut, fuzzy soft relation
