Double Hierarchy Hesitant Fuzzy Linguistic LINMAP Method for Multiple Attribute Group Decision Making

Abstract

Compared with hesitant fuzzy linguistic term set (HFLTS), double hierarchy hesitant fuzzy linguistic term set (DHHFLTS) has a second hierarchy linguistic term set, which is a detailed supplementary of each linguistic term included in the first hierarchy linguistic term set. Thus, DHHFLTS can express more complex and sufficient evaluation information than HFLTS. To solve multiple attribute group decision making (MAGDM) problems in which the assessment values of alternatives and the preference relations between alternatives are denoted by double hierarchy hesitant fuzzy linguistic elements, this paper extends the traditional LINMAP method under double hierarchy hesitant fuzzy linguistic environment. A practical example is provided to demonstrate the applicability of the proposed method.