On LR-type fully intuitionistic fuzzy linear programming with inequality constraints: Solutions with unique optimal values

作者：

Highlights：

• Singh and Yadav’s method cannot yield solutions with unique optimal values.

• A lexicographic criterion for ranking LR-type intuitionistic fuzzy numbers is given.

• A method to find solutions of FIFLP problems with unique optimal values is proposed.

• Intuitionistic fuzzy inequality constraints are defined lexicographically.

• A fully intuitionistic fuzzy production planning problem is solved as illustration.

摘要

•Singh and Yadav’s method cannot yield solutions with unique optimal values.•A lexicographic criterion for ranking LR-type intuitionistic fuzzy numbers is given.•A method to find solutions of FIFLP problems with unique optimal values is proposed.•Intuitionistic fuzzy inequality constraints are defined lexicographically.•A fully intuitionistic fuzzy production planning problem is solved as illustration.

论文关键词：Fully intuitionistic fuzzy linear programming,LR-type Intuitionistic fuzzy number,Lexicographic ranking criterion,Unique optimal intuitionistic fuzzy value

论文评审过程：Received 25 January 2019, Revised 19 March 2019, Accepted 20 March 2019, Available online 21 March 2019, Version of Record 1 April 2019.

论文官网地址：https://doi.org/10.1016/j.eswa.2019.03.035