Some Aggregation Operators for Linguistic Intuitionistic Fuzzy Set and its Application to Group Decision-Making Process Using the Set Pair Analysis

Linguistic intuitionistic fuzzy set (LIFS) is the better way to deal with the uncertain and imprecise information in group decision-making problems. On the other hand, the set pair analysis (SPA) theory provides a quantitative analysis to integrate the certainty and uncertainties as a combined system by defining the connection number corresponding to it. In the present paper, we have enhanced the LIFS with the SPA theory and hence defined the linguistic connection number (LCN) and its various operational laws. Based on it, we have developed various aggregation operators, namely LCN weighted geometric, LCN ordered weighted geometric, and LCN hybrid geometric operators with LIFS environment. Also, the shortcoming of the existing operators under LIFS environment has been highlighted and overcomes by the proposed operators. Few properties of these operators have been also investigated. Further, a group decision-making approach has been presented, based on these operators, which has been illustrated by a numerical example to show the effectiveness and validity of the proposed approach.