Fundamentals of the Complex Picture Fuzzy Hyper soft Set

Abstract

Nowadays, selecting the right institution for higher education (HE) is a grim task in emerging nations because of the lack of proper career counselling, and less obtainable information, and an ill-structured support system. These components lead towards an unwisely academic decision, high rates of dropout, and unimagined career ambitions, along with impacting both individuals’ goals and the national productive force. To deal with these issues, this study advocates an innovative decision-making model that consumes a complex picture fuzzy hypersoft set (CPiFHS-Set) framework, designed to address all the doubts and uncertainties inherent in Higher education institutions. The CPiFHS-Set approach improves conventional fuzzy and soft set theories by incorporating delicate and complex valued membership functions, allowing more thorough analysis of complicated and unclear data. The study starts by explaining the basics and properties of the CPiFHS-Set, highlighting Algebraic operations, aggregation mechanism, and also mathematical assessment tools. Furthermore, a real case study of a developing country related to a Higher education institution is undertaken by employing the CPiFHS-Set model to assess institutions based on the key components, like quality of education standards, faculty credentials, facilities, research Subjectivity, and graduate employability. A comparative approach is adopted against the traditional fuzzy-based methods, while it underscores the CPiFHS Set models’ greater performance in handling high-dimensional, unstable decision-making environments. The outcomes clearly elaborate the framework’s power to offer systematic and reliable guidance for students and education policymakers, nurturing better educational configuration and socioeconomic progress.