Group Decision-Making Based on Linguistic Intuitionistic Fuzzy Numbers and Yager Weighted Aggregation Operator

Abstract

We put forward two novel group decision making methods that utilize the propose Lin guistic Intuitionistic Fuzzy Yager Weighted Arithmetic Aggregation Operator for linguistic intuitionistic fuzzy numbers. The first proposed GDM addresses the situation where the weights of experts and attributes are fully understood; the second GDM approach that is being proposed takes into account the situation in which the weights of experts and the weights of attributes are entirely unknown. First, we propose new operational laws for LIFNs that are based on Yagers’ norm, specifically the addition operation and scalar mul tiplication operations for LIFNs can overcome the limitations of the current addition and scalar multiplication operations of LIFNs. After that, we put forward the LIFYWA AO of LIFN, relying on the proposed addition and scalar multiplication of LIFNs. We also demonstrate several characteristics of the suggested LIFYWA AO. Ultimately, we put for wardtwonewGDMmethodsofLIFNsbasedontheproposedLIFYWAAO.Thesuggested GDMmethodscanovercomethelimitations of current GDM approaches, which are unable to differentiate between the ranking orders of alternatives in certain cases.