Abstract
Parameterized family of OWA weights functions can facilitate the choice and recommendation of OWA weights function with different orness offered. This study strictly defines Parameterized Families of OWA weights functions and discusses some related mathematical properties. Then, we define Continuous Parameterized family of RIM quantifiers, from which parameterized family of OWA weights functions can be effectively and conveniently generated. Quasi-preference and quasi-orness are also proposed, from which we further define some concepts such as OWA operators with quasi-preference. A numerical example is also provided, briefly discussing its usage in investment choice problem.