Pythagorean triangular fuzzy linguistic bonferroni mean operators and their application for multi-attribute decision making

Bonferroni mean (BM), one of the desirable operators that can capture the expressed interrelationship among the individual arguments. Moreover, Pythagorean fuzzy sets (PFSs) have been proved extremely effective for modeling uncertainty of the Multi-attribute decision making (MADM) problems. In this paper, we present a new extension of linguistic term called Pythagorean triangular fuzzy linguistic variables (PTFLVs) and the operational laws. Then, we further introduce the BM into Pythagorean triangular fuzzy linguistic environment and develop the Pythagorean triangular fuzzy linguistic Bonferroni mean (PTFLBM) operator and the weighted PTFLBM operator. Finally, a practical case is given to elaborate the developed operator's effectiveness.