**Another View of Aggregation Operators on Group-Based Generalized Intuitionistic Fuzzy Soft Sets: Multi-Attribute Decision Making Methods**

#### **Khizar Hayat 1, Muhammad Irfan Ali 2,\*, Bing-Yuan Cao 1,3,\*, Faruk Karaaslan 4 and Xiao-Peng Yang 5**


Received: 5 November 2018; Accepted: 26 November 2018; Published: 14 December 2018

**Abstract:** In this paper, the existing definition of the group-based generalized intuitionistic fuzzy soft set is clarified and redefined by merging intuitionistic fuzzy soft set over the set of alternatives and a group of intuitionistic fuzzy sets on parameters. In this prospect, two new subsets of the group-based generalized intuitionistic fuzzy soft set are proposed and several operations are contemplated. The two new aggregation operators called generalized group-based weighted averaging and generalized group-based weighted geometric operator are introduced. The related properties of proposed operators are discussed. The recent research is emerging on multi-attribute decision making methods based on soft sets, intuitionistic fuzzy soft sets, and generalized intuitionistic fuzzy soft sets. An algorithm is structured and two case studies of multi-attribute decision makings are considered using proposed operators. Further, we provide the comparison and advantages of the proposed method, which give superiorities over recent major existing methods.

**Keywords:** decision-making; soft sets; intuitionistic fuzzy soft sets; group-based generalized intuitionistic fuzzy soft sets; aggregation operators
