A Novel Approach to Generalized Intuitionistic Fuzzy Sets Based on Interpolative Boolean Algebra

One of the main issues in IFS theory are generalizations intuitionistic fuzzy set (IFS) definition as well operations. In this paper, we present LBIFS-IBA approach by applying operations based on interpolative Boolean algebra (IBA) generalized IFS. Namely, LBIFS defined a special case Liu’s with maximal interpretational surface. By extending surface, descriptive power is enhanced, and therefore problematic situations when ?A+?A>1 can be modeled. addition, IBA-based secures properties proposed approach. Considerable attention given to comprehension uncertainty within LBIFS-IBA, i.e., propose novel manner interpretation treating values from [?1,1] interval. order prove its importance, compare several well-known generalizations, showing that only our offers meaningful all selected cases. Additionally, illustrate practical benefits it an example modeling Japanese candlesticks for price charting paying interpretation.