Exploring the Correlation Coefficient of Bipolar Complex Fuzzy Sets for Pattern Recognition
DOI:
https://doi.org/10.26713/cma.v17i1.3440Keywords:
Complex fuzzy sets, Bipolar complex fuzzy set, Complex-valued membership function, Amplitude term, Phase term, Information energy of BCFS, Covariance of BCFSsAbstract
In pattern recognition, identifying the unknown pattern is a challenging process. Analysing features of the pattern is the initial phase of a pattern recognition process. Features that occasionally show bipolarity have been used for identification. Since Bipolar Fuzzy Sets (BCFSs) cover both the negative and positive features of a pattern in particular, they are utilized to address this bipolarity. BCFSs are one kind of bipolar fuzzy set that produces more accurate results than others. A novel method of pattern recognition is presented here by measuring the correlation coefficient of BCFSs, as BCFSs can handle complex fuzzy information more efficiently. In this study, a method of correlation coefficient of BCFSs is proposed. The pattern recognition method is proposed in a bipolar complex fuzzy environment to resolve uncertain and ambiguous information of an unknown pattern based on the aforementioned approach. A real-life example of the recognition of carbon allotrope is used to validate the efficacy and implementation of the proposed approach.
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