International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/1541 2020 2020 Department of Mathematics, University of Management and Technology Lahore, Pakistan Muhammad Saeed Department of Mathematics, University of New Mexico, Gallup, NM 87301, USA Florentin Smarandache Department of Mathematics, University of Management and Technology Lahore, Pakistan Muhammad Arshad Department of Mathematics, University of Management and Technology Lahore, Pakistan Atiqe Ur Rahman When compared to its extension, hypersoft set, a soft set only deals with a single set of attributes, while a hypersoft set deals with several attribute-valued disjoint sets that correspond to various attributes. Several researchers have developed models based on soft sets, but the majority of these models suffer from limitations since they are inappropriate for interval-type data or uncertain data. In order to address these issues, a novel model interval-valued fuzzy hypersoft set (IV F HS -set) is presented in this research article. This model not only resolves the inadequacy of soft set for distinct attributes for non-overlapping attribute-valued sets, but also addresses the limitations of soft set-like models with having data in interval environment. This work modifies the current fuzzy hypersoft set concept and introduces certain fundamental ideas, such as subset, not set, whole set, and absolute relative null set, relative absolute set and aggregation operations e.g. intersection, union, extended intersection, restricted union, complement, OR, AND, difference, restricted difference are discussed under IV F HS -set environment with illustrated examples. Some new hybrids of fuzzy hypersoft set under interval-valued settings are also discussed. Moreover, some extensions of IV F HS -set are presented along with different operations. 2023 2023 135 161 10.54216/IJNS.200209 https://www.americaspg.com/articleinfo/21/show/1541