Choice processes for non-homogeneous group decision making in linguistic setting

Several choice processes of alternatives for non-homogeneous group decision making problems, assuming linguistic preference relations for expressing the opinions of individuals and linguistic values for expressing their respective power or importance degrees, are presented. These processes are designed using two choice degrees of alternatives based on the concept of fuzzy majority: quanti-er guided linguistic dominance degree and quantiier guided linguistic non-dominance degree, being the last one a generalization of Orlovski's non-dominated alternative concept. In order to deal with non-weighted linguistic information, the linguistic ordered weighted averaging (LOWA) operator is applied. To deal with weighted linguistic information, three operators of linguistic weighted information aggregation are used: the linguistic weighted disjunction (LWD) operator, the linguistic weighted conjunction (LWC) operator and the linguistic weighted averaging (LWA) operator.