Coradiant-Valued Maps and Approximate Solutions in Variable Ordering Structures

In this paper, to introduce approximate efficiency notions in variable ordering structures, some coradiant-valued maps are dealt with. Approximate nondominated and minimal elements are defined and some of their properties are studied. Corresponding to these concepts, necessary and sufficient conditions are provided. To obtain such conditions, some scalarization methods are investigated. The paper also investigates possible relationships between the Pascoletti–Serafini radial scalarization, approximate efficiency, approximate nondominance, and minimality utilizing some coradiant-valued maps.