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Article
Mathematics, Applied
Muhammad Saeed et al.
Summary: A novel framework for handling neutrosophic hypersoft information is formulated in this research article by combining the theory of neutrosophic hypersoft sets with graphs. Different types of neutrosophic hypersoft graphs are characterized, and their products and composition are discussed with various construction methods. Furthermore, an application of neutrosophic hypersoft graph in decision making is presented with a proposed algorithm.
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
(2022)
Article
Mathematics, Applied
Atiqe Ur Rahman et al.
Summary: This study generalizes the concept of possibility intuitionistic fuzzy hypersoft set and proposes algorithms based on AND/OR operations for decision making. The set-theoretic operations and similarity measure of possibility intuitionistic fuzzy hypersoft sets are investigated with numerical examples, matrix and graphical representations. The proposed structure and similarity formulation are compared with existing models to validate their effectiveness.
Article
Mathematics
Adem Yolcu et al.
Summary: In this paper, a new environment called intuitionistic fuzzy hypersoft set (IFHSS) is defined, and some fundamental operators of IFHSS are introduced, such as subset, null set, absolute set, complement, union, intersection, equal set, etc. The validity and application of these operators are demonstrated with examples, and their importance in decision-making processes, personal selection, management issues, and others is emphasized for greater precision and accuracy in future endeavors.
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
(2021)
Article
Computer Science, Artificial Intelligence
Muhammad Saeed et al.
Summary: This paper discusses the challenges related to diagnosing brain tumors, noting that uncertainties and inaccuracies in practical assessment make it difficult to predict disease progression and treatment time accurately. The introduction of Neutrosophic Hypersoft set (NHS) and NHS mapping addresses this issue by providing a detailed approach to handling disease parameter values and selecting appropriate medication. Ultimately, the generalized NHS mapping is presented to assist specialists in extracting patient progress history and predicting treatment duration until recovery.
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
(2021)
Article
Engineering, Multidisciplinary
Atiqe Ur Rahman et al.
Summary: Hypersoft set, as an extension of soft set, partitions each attribute into its corresponding attribute-valued set, addressing the limitation of dealing with scenarios having disjoint attribute-valued sets corresponding to distinct attributes. The study aims to align the existing literature on neutrosophic parameterized soft set with the need of multi-attribute approximate function. The conceptualization of neutrosophic parameterized hypersoft sets, along with decision-making algorithms and illustrative examples, demonstrates the structure's effectiveness in handling problems involving vagueness and uncertainties, with a discussion on generalization.
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
(2021)
Article
Computer Science, Information Systems
Muhammad Saeed et al.
Summary: This research aims to explore the diagnostic issues of hepatitis, introducing Neutrosophic Hypersoft (NHS) set and NHS mapping with its inverse mapping to help analyze the problem accurately. By establishing a connection between symptoms and medicines, it reduces the difficulty of narrative and constructs a table based on fuzzy interval to guide treatment selection.
Article
Mathematics, Applied
M. Irfan Ali et al.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2009)
Article
Mathematics, Applied
PK Maji et al.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2003)