A Choquet Integral based Fuzzy Logic Approach to Solve Uncertain Multi-Criteria Decision Making Problem

Abstract Nowadays, the fuzzy measures and fuzzy integrals have been successfully implemented to solve a variety of uncertain multi-criteria decision-making problems. However, with the growing complexity of the decision-making environment and the diversity of linguistic information in the decision-making process, defining the appropriate and reasonable measures and integrals in the fuzzy logic applications becomes increasingly challenging. As the commonly used interval-valued Sugeno probability space is capable of representing the linguistic information in a more accurate way, in this work, we combine the Choquet integrals with interval-valued Sugeno probability space to develop a new interval-valued function to solve the uncertain multi-criteria decision-making problems. This work first defines the interval-valued Sugeno probability measure based on σ − λ rules and proposes the Choquet integrals in the interval-valued Sugeno probability space, and then a relevant solution approach is developed to solve the uncertain multi-criteria decision-making problems. The refrigerator components end-of-life strategy determination problem is used as a case study to illustrate the application.