Affiliations: [a] Department of Mathematics, Andalas University, Kampus UNAND Limau Manis, Padang, Indonesia
| [b] Department of Economic Social of Agriculture, Andalas University, Kampus UNAND Limau Manis, Padang, Indonesia
Correspondence:
[*]
Corresponding author. Admi Nazra, Department of Mathematics, Andalas University, Kampus UNAND Limau Manis, Padang, Indonesia. E-mail: [email protected].
Abstract: This paper aims to extend the Interval-valued Intuitionistic Hesitant Fuzzy Set to a Generalized Interval-valued Hesitant Intuitionistic Fuzzy Soft Set (GIVHIFSS). Definition of a GIVHIFSS and some of their operations are defined, and some of their properties are studied. In these GIVHIFSSs, the authors have defined complement, null, and absolute. Soft binary operations like operations union, intersection, a subset are also defined. Here is also verified De Morgan’s laws and the algebraic structure of GIVHIFSSs. Finally, by using the comparison table, a different approach to GIVHIFSS based decision-making is presented.
