An Intuitionistic Fuzzy Parameterized Decision-making Approach For Evaluating Site Suitability For Educational Institutions Using Hypersoft Settings

Abstract

Intuitionistic fuzzy parameterization aims to evaluate the uncertain and ambiguous
nature of parameters and sub-parameters during the decision-making process. In this parameterization,
an intuitionistic fuzzy grade is assigned to parameters and sub-parameters to address
ambiguity. In cases of hypersoft settings, this grade is attached to multi-argument tuples containing
sub-parametric values. The integration of intuitionistic fuzzy parameterization with hypersoft settings
offers a flexible framework for modeling uncertainties in decision-making scenarios. In this
study, a new theoretical framework called the intuitionistic fuzzy parameterized hypersoft set (IFpHSS)
is developed, which replaces existing concepts based on parameterization of intuitionistic
fuzzy soft sets. The concepts of empty, universal, subset, and equal IFpHSS are introduced and clarified
with examples. Aggregation operations such as complement, union, intersection, AND, and
OR for IFpHSS are also explained. Using the idea of an intuitionistic fuzzy decision set, cardinality
set, and reduced fuzzy set within the IFpHSS framework, a robust decision-support system is established,
along with an intelligent algorithm. This algorithm is applied to evaluate different sites for
the establishment of an educational institution, demonstrating its effectiveness for solving problems
involving vagueness and uncertainties.