1Assistant Professor, Department of Mathematics, M.I.E.T Engineering College, Trichy-620 007, Tamilnadu, India
2Associate Professor, Department of Mathematics, Sri K.G.S. Arts College, Srivaikuntam-628 619, Tamilnadu, India
3Associate Professor, Department of Mathematics, Kamaraj College, Thoothukudi-628 003, Tamilnadu, India
In this paper, we define a new kind of fuzzy set which bipolar smooth fuzzy soft set by combining the fuzzy star shaped set and bipolar smooth fuzzy soft set. By the basic definition of bipolar smooth fuzzy soft star shaped set, we discuss the relationships among these different types of star shapedness and obtain some properties. Finally, we investigate level bipolar smooth fuzzy soft set and its properties.
Soft set, bipolar fuzzy set, bipolar smooth fuzzy soft set, level set, bipolar fuzzy soft pseudo-star shaped set, linear invertible transformation, quasi-convex star shaped set
