A method to find the unique optimal fuzzy value of fully fuzzy linear programming problems with inequality constraints having unrestricted L-R fuzzy parameters and decision variables

作者：

Highlights：

• A new lexicographic method to find unique optimal values of FFLP problems is proposed.

• Fuzzy inequality relations in the constraint set are defined lexicographically.

• Existing lexicographic criteria for ranking L-R fuzzy numbers are easily incorporated.

• An application example is given to illustrate the proposed method.

• Obtained solutions have better objective values as compared to existing methods.

摘要

•A new lexicographic method to find unique optimal values of FFLP problems is proposed.•Fuzzy inequality relations in the constraint set are defined lexicographically.•Existing lexicographic criteria for ranking L-R fuzzy numbers are easily incorporated.•An application example is given to illustrate the proposed method.•Obtained solutions have better objective values as compared to existing methods.

论文关键词：Fully fuzzy linear programming,L-R Fuzzy number,Lexicographic ranking criterion

论文评审过程：Received 18 June 2018, Revised 8 August 2018, Accepted 14 January 2019, Available online 15 January 2019, Version of Record 22 January 2019.

论文官网地址：https://doi.org/10.1016/j.eswa.2019.01.041