Possibility Interval-Valued Fermatean Neutrosophic Soft Sets in Decision making

Presenting and analyzing Possibility Interval-Valued Fermatean Neutrosophic Soft Sets (PIVFNSS) and their properties is the main objective of this research study. The necessity of the introduction of PIVFNSS is that the set incorporates the possibility value which increases the set’s robustness. First, definitions and verification of fundamental mathematical characteristics including complement, intersection, and union are made. For easier comprehension, the operations "AND" and "OR" are defined with pertinent examples. This unique set is used to a decision-making problem, and its robustness and dependability are examined through sensitivity analysis.