Neutrosophic Hypersoft Matrices with Application to Solve Multiattributive Decision‐Making Problems

Abstract

The concept of the neutrosophic hypersoft set (NHSS) is a parameterized family that deals with the subattributes of the parameters and is a proper extension of the neutrosophic soft set to accurately assess the deficiencies, anxiety, and uncertainty in decision-making. Compared with existing research, NHSS can accommodate more uncertainty, which is the most significant technique for describing fuzzy information in the decision-making process. The main objective of the follow-up study is to develop the theory of neutrosophic hypersoft matrix (NHSM). The NHSM is the generalized form of a neutrosophic soft matrix (NSM). Some fundamental operations and score function for NHSMs have been introduced with their desirable properties. Furthermore, we introduce the logical operators such as OR-operator and AND-operator with their fundamental properties in the following research. The necessity and possibility operations for NHSMs have been established. Utilizing the developed score function, a decision-making methodology has been developed to solve the multiattribute decision-making (MADM) problem. To ensure the validity of the proposed approach, a numerical illustration has been described for the selection of competent faculty member. The practicality and effectiveness of the current approach are proved through comparative analysis with the assistance of some existing studies.

[Retracted] A Novel Multicriteria Decision‐Making Approach for Einstein Weighted Average Operator under Pythagorean Fuzzy Hypersoft Environment

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On Renewable Energy Source Selection Methodologies Utilizing Picture Fuzzy Hypersoft Information with Choice and Value Matrices

“…In the area of soft sets and soft matrix theory, Naim & Serdar [41] first defined the multiplication of two soft matrices and also the multiplication of two fuzzy soft matrices along with various theoretical propositions. In subsequent studies, Zulqarnain [42] and Jafar et al [33] studied and developed the notion of the neutrosophic hypersoft matrix in a more generalized form with some basic operations, score function and properties. Also, Jafar et al [32] proposed the notion of Intuitionistic Fuzzy Hypersoft matrices (IF HSM ) and devised a new algorithm for MCDM problem with the revised score function.…”

Numerical study of second-grade fuzzy hybrid nanofluid flow over the exponentially permeable stretching/shrinking surface

“…The fuzzy set theory (FST) [54] has proved to be a valuable technique for modeling uncertainties in recent decades, providing models with a more accurate view of reality and allowing them to express themselves with a broader perspective [55][56][57][58][59]. After modeling real-world problems, they convert into partial differential equations (PDEs) or ordinary differential equations (ODEs).…”