Generalized induced linguistic harmonic mean operators based approach to multiple attribute group decision making
Two generalized induced linguistic aggregation operator called the generalized induced linguistic ordered weighted harmonic mean (GILOWHM) operator and generalized induced uncertain linguistic ordered weighted harmonic mean (GIULOWHM) operator is defined. Each object processed by these operators consists of three components, where the first component represents the importance degree or character of the second component, and the second component is used to induce an ordering, through the first component, over the third components which are linguistic variables (or uncertain linguistic variables) and then aggregated. Based on the GILOWHM and GIULOWHM operators respectively, we develop two procedures to solve the multiple attribute group decision making problems where all attribute values are expressed in linguistic variables or uncertain linguistic variables. Finally, an example is used to illustrate the developed procedures.
group decision making generalized induced linguistic ordered weighted harmonic mean (gilowhm) operator generalized induced uncertain linguistic ordered weighted harmonic mean (giulowhm) operator linguistic variable operational laws