Bipolarity in multi-way fuzzy context and its analysis using m-way granulation

摘要

Recently, most of the researchers focused on dealing with uncertainty and unclear data beyond the three-way fuzzy space and its graphical visualization. An issue arises when the bipolar attributes exist beyond the three-way or m-way fuzzy space. One of suitable examples is colors consist of several opposite and non-opposite side of red-green-blue to produce a new color. To deal with these types of bipolarity exists in multi-valued attribute, a method is proposed in this paper using the connection of bipolar fuzzy set with multi-fuzzy set. Same time graphical structure visualization of bipolar multi-fuzzy set is also introduced for precise analysis of knowledge discovery and representation tasks. In addition, an another method is proposed to refine the bipolar multi-fuzzy context at user defined multi-granulation with an illustrative example. The analysis derived from the proposed method is also compared with recently available approaches on bipolar multi-fuzzy set.