The ordering of making microcredit loans to farmers based on the IFGIBMs

Abstract

In this paper, taking account the interactions of geometric Bonferroni mean in intuitionistic fuzzy environments, we present the intuitionistic fuzzy geometric interaction Bonferroni mean (IFGIBM) and the weighted IFGIBM (WIFGIBM). The desirable properties and some special cases of the IFGIBM and WIFGIBM are discussed. We give a discussion on taking the values of parameters p or q for applications. We investigate the detailed steps of the ordering of making microcredit loans to farmers with the presented operators and give numerical examples to show the applications of the new methods. Comparisons of the IFGIBM and WIFGIBM with the corresponding ones are given. The advantages of the IFGIBM and WIFGIBM are discussed from definitions and aggregation functions point of view.