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Quantum theory is the focus of current research. Likelihood functions arewidely used in many fields. Because the classic likelihood functions are toostrict for extreme data in practical applications, Yager proposed soft orderedweighted average (OWA) operator. In the quantum method, probability isrepresented by Euler's function. How to establish a connection between quantumtheory and OWA is also an open question. This article proposes OWA opreatorunder quantum theory, and discusses the relationship between quantum soft OWAoperater and classical soft OWA operator through some examples. Similar toother quantum models, this research has more extensive applications in quantuminformation.

Quantum soft likelihood function based on ordered weighted average operator