"Intuitionistic Quadri-Partitioned Neutrosophic Sets with Extended Oper" by Sai Anu P, Arulselvam A et al.
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Neutrosophic Sets and Systems

Abstract

We present the concept of intuitionistic quadri-partitioned neutrosophic sets (IQ-PNSs) and extend it to intuitionistic quadri-partitioned neutrosophic soft sets (IQ-PNSSs). These sets introduce a constraint where the combined membership values for truth and falsity must not exceed one, while the indeterminacy and contradiction membership values are restricted to the interval [01], ensuring the total sum of all membership values remains below three. In addition, we de ne necessity and possibility operators, along with two novel operators, ( and ), on IQ-PNSSs and explore their properties. Furthermore, we introduce and analyze the operators , , and , as well as the concentration (CO) and dilation (DO) operators on IQ-PNSSs. This framework e ectively addresses complex uncertainties, particularly in situations where conventional approaches, such as those used for modeling ambivalent psychological behaviors, are insu cient.

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