Models for multiple attribute decision making with some interval-valued 2-tuple linguistic Pythagorean fuzzy Bonferroni mean operators

摘要

In this paper, we extend the Bonferroni mean (BM) operator, generalized Bonferroni mean (GBM), and dual generalized Bonferroni mean (DGBM) operator with interval-valued 2-tuple linguistic Pythagorean fuzzy numbers (IV2TLPFNs) to propose interval-valued 2-tuple linguistic Pythagorean fuzzy weighted Bonferroni mean (IV2TLPFWBM) operator, interval-valued 2-tuple linguistic Pythagorean fuzzy weighted geometric Bonferroni mean (IV2TLPFWGBM) operator, generalized interval-valued 2-tuple linguistic Pythagorean fuzzy weighted Bonferroni mean (GIV2TLPFWBM) operator, generalized interval-valued 2-tuple linguistic Pythagorean fuzzy weighted geometric Bonferroni mean (GIV2TLPFWGBM) operator, dual generalized interval-valued 2-tuple linguistic Pythagorean fuzzy weighted Bonferroni mean (DGIV2TLPFWBM) operator, dual generalized interval-valued 2-tuple linguistic Pythagorean fuzzy weighted geometric Bonferroni mean (DGIV2TLPFWGBM) operator. Then the MADM methods are proposed with these operators. In the end, we utilize an applicable example for green supplier selection in green supply chain management to prove the proposed methods.