TY - JOUR ID - 132902 TI - Two kinds of orthopair soft sets as novel approaches to granular computing based on parametrization JO - Journal of Algebraic Hyperstructures and Logical Algebras JA - JAHLA LA - en SN - 2676-6000 AU - Ali, M.I. AU - Shabir, M. AU - Feng, F. AD - Islamabad Model College for Boys G-11/1, Islamabad, Pakistan AD - Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan AD - Department of Applied Mathematics, Xi an University of Posts and Telecommunications, Xi an, China Y1 - 2021 PY - 2021 VL - 2 IS - 3 SP - 41 EP - 59 KW - soft sets KW - Fuzzy Sets KW - rough sets KW - orthopair KW - Uncertainty KW - granularity DO - 10.52547/HATEF.JAHLA.2.3.4 N2 - This paper aims at introducing two types of orthopair soft sets, which might serve as novel approaches to granular computing based on parametrization. These generalized soft sets emerge naturally when linguistic parameters are employed to convey uncertainty attached to elements of certain sets. Concepts of uncertainty measures attached to the parameters and the whole orthopair soft sets are presented as well. The proposed uncertainty measures are useful for classifying elements of the set of parameters. Different types of granularity measures associated with parameters are presented and are extended to orthopair soft sets. Collective wisdom is helpful in decision making based on consensus. A numerical example is given to demonstrate how orthopair soft sets can be employed in this regard. UR - https://jahla.hatef.ac.ir/article_132902.html L1 - https://jahla.hatef.ac.ir/article_132902_744b662ebef184500c5642ecc4de8559.pdf ER -