Complex Pythagorean fuzzy einstein aggregation operators in selecting the best breed of Horsegram

•The CPFEWA, CPFEOWA, CPFEWG and CPFEOWG operators are proposed.•Few of their properties are detailed.•A real life decision making problem is considered.•The most satisfactory breed of horse gram for cultivation is selected.•Comparison and validation for the operators are given. The intention of this article is to develop and introduce an extension from Pythagorean fuzzy sets (PFS) to complex Pythagorean fuzzy sets (CPFS) related to weighted aggregated functions involving Einstein operator. The main purpose of such an extension is that the periodicity of the terms can also be taken into account during the aggregation operation. The prime goal of this article is to formulate the aggregation operators such as the complex Pythagorean fuzzy Einstein weighted arithmetic aggregating operator (CPFEWA), complex Pythagorean fuzzy Einstein ordered weighted arithmetic aggregating operator (CPFEOWA), complex Pythagorean fuzzy Einstein weighted geometric aggregating operator (CPFEWG) and complex Pythagorean fuzzy Einstein weighted ordered geometric aggregating operator (CPFEOWG) and to detail few of it’s prime properties. Finally, to express the effectiveness of the proposed approach and to elucidate the purpose of these operators, a multi criteria decision making problem to select the best breed of Horsegram is considered using the data given by the expert and the result is compared with the results of the existing operators.