On Bipolar Complex Intuitionistic Fuzzy Multi-Polygroups
Ahmed Ibrahim Isah, Peter Ayuba, Mubarak Nasir, Paul Augustine Ejegwa
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Source: Crossref
Published: Sep 14, 2026
DOI: 10.62072/acm.2026.09043
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This paper introduces the idea of complex numbers to intuitionistic fuzzy sets which enhances the representation of uncertain, hesitant and ambiguous data. By integrating the complex-valued membership and non-membership functions with the theory of multi-polygroups, a novel structure known as complex intuitionistic fuzzy multi-polygroups is developed. This extension addresses the limitations of classical fuzzy and intuitionistic fuzzy multi-polygroups by introducing magnitude and phase into the representation of membership values. Complex intuitionistic fuzzy multi-polygroups is a powerful framework for modeling and analyzing complex data in various applications, including artificial intelligence and decision-making systems. In addition, the concept of bipolar complex intuitionistic fuzzy multi-polygroups is further developed which represents a significant advancement in the field of fuzzy logic and algebraic structures. Bipolar complex intuitionistic fuzzy multi-polygroups introduce dual-polarity membership and non-membership values. This allows the representation of positive and negative impacts simultaneously, providing a comprehensive framework for modeling data that involves conflicting, hesitant or dual-natured information. The inclusion of complex numbers further enhances its ability to handle intricate real-world uncertainties.
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