On optimistic, pessimistic and mixed approaches under different membership functions for fully intuitionistic fuzzy multiobjective nonlinear programming problems

作者：

Highlights：

• A fully intuitionistic fuzzy multiobjective nonlinear problem is formulated.

• Optimistic, pessimistic and mixed approaches are proposed.

• Linear, exponential and hyperbolic memberships are used to illustrate the concept.

• Theorems are proved to show equivalence with the original formulation.

• Two practical examples are investigated and a comparison is drawn.

摘要

•A fully intuitionistic fuzzy multiobjective nonlinear problem is formulated.•Optimistic, pessimistic and mixed approaches are proposed.•Linear, exponential and hyperbolic memberships are used to illustrate the concept.•Theorems are proved to show equivalence with the original formulation.•Two practical examples are investigated and a comparison is drawn.

论文关键词：Multiobjective programming problem,Intuitionistic fuzzy variables,Membership functions,Optimistic,Pessimistic and mixed approaches,Accuracy function

论文评审过程：Received 16 July 2020, Revised 23 October 2020, Accepted 10 November 2020, Available online 30 November 2020, Version of Record 5 December 2020.

论文官网地址：https://doi.org/10.1016/j.eswa.2020.114309