INTERNATIONAL JOURNAL OF ENGINEERING, SCIENCE AND - Volume 7, Issue 4, April 2018

Pages: 31-44
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ENUMERATIONS ON STAR SHAPEDNESS OF ( a, b) -LEVEL BIPOLAR SMOOTH FUZZY SOFT SUBGROUP STRUCTURES

Author: 1S.Anitha, 2G.Subbiah*and 3M.Navaneethakrishnan

Category: Engineering, Science and Mathematics

Abstract:

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

Keywords: 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.