ALGEBRAIC LAWS AND PROPERTIES OF PICTURE FUZZY SETS
DOI:
https://doi.org/10.25077/jmua.15.2.150-162.2026Keywords:
Algebraic Laws, Set Theoretic, Picture Fuzzy SetAbstract
This paper investigates the fundamental algebraic laws and properties
that hold in the framework of Picture Fuzzy Sets (PFS). Picture fuzzy sets extend classical
fuzzy and intuitionistic fuzzy sets by incorporating an additional degree of neutrality,
providing a more refined representation of uncertainty. We examine the validity of standard
algebraic laws such as commutativity, associativity, distributivity, and idempotency
under picture fuzzy operations, and identify the conditions under which these laws are
preserved. The study contributes to a deeper understanding of the algebraic behavior of
PFS and forms a theoretical basis for their further applications in fuzzy decision-making
and information processing.
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