A modified ranking function of linear programming problem directly approach to fuzzy environment. (28th July 2021)

• Record Type: Journal Article
• Authors: Prasad, Rajeev; Das, Sapan Kumar; Mandal, Tarni; Dash, Jatindra Kumar
• Is Part Of: International journal of mathematics in operational research. Volume 19:Number 3(2021)
• Page Start: 401
• Page End: 416
• Publication Date: 2021-07-28
• Subjects: fully fuzzy linear programming -- FFLP -- fuzzy optimal solution -- triangular fuzzy numbers -- ranking function; Operations research -- Mathematical models -- Periodicals; Operations research -- Mathematics -- Periodicals; Decision making -- Mathematical models -- Periodicals; 658.4033
• Languages: English
• ISSNs: 1757-5850

Abstract

This work introduced a modified ranking function which produced crisp linear programming (CLP) problems. A fully fuzzy linear programming (FFLP) problem in its balanced form having all the parameters and variables are triangular fuzzy numbers is taken into account during this study. Within the literature of the sector, the prevailing proposed approaches have many shortcomings, i.e., incorporate the rule of surplus variable and does not satisfy the constraints. Here, we bearing in mind of the prevailing shortcomings, a constructive solution is approached to beat the restrictions. For better exactness of the answer which is proposed by us, we use fuzzy number. Two numerical examples are illustrated and compared with the pre-existing methods.