A novel outranking sorting approach based on interval‐valued Pythagorean uncertain linguistic Euclidean distance for material supplier grading

Multiple attribute linguistic group decision making (MALGDM) is one of the important research topics in decision‐making theory. The material supplier grading involves multiple attributes and forms a typical MALGDM problem. In this paper, based on interval‐valued Pythagorean uncertain linguistic Euclidean distance (IVPUL‐Euclidean distance) and IVPUL aggregation operators, we develop a new outranking sorting approach, which can cope with MALGDM problems in IVPUL environment. The proposed IVPUL‐Euclidean distance defines a novel outranking relation, and it introduces three parameters that can adjust outranking sorting result according to various decision‐making situations. Meanwhile, the IVPUL aggregation operators are introduced to aggregate the IVPUL information. Eventually, we give a numerical example concerning the comprehensive assessment of material supplier to illustrate validity and applicability of the proposed approach and compare the proposed method with different generalized aggregation operators to perform its flexibility.