Stability in possibilistic linear programming with continuous fuzzy number parameters

1992 ◽  
Vol 47 (2) ◽  
pp. 187-191 ◽  
Author(s):  
Mario Fedrizzi ◽  
Robert Fullér
Keyword(s):  
Linear Programming ◽  
Fuzzy Number ◽  
Possibilistic Linear Programming

Possibilistic Linear Programming Problems involving Normal Random Variables

2016 ◽  
Vol 5 (3) ◽  
pp. 1-13 ◽  
Author(s):  
Suresh Kumar Barik ◽  
M. P. Biswal
Keyword(s):  
Linear Programming ◽  
Programming Problem ◽  
Random Variables ◽  
Fuzzy Programming ◽  
Solution Procedure ◽  
Mathematical Programming Problem ◽  
Possibility Distribution ◽  
Linear Programming Problems ◽  
The Right ◽  
Possibilistic Linear Programming

A new solution procedure of possibilistic linear programming problem is developed involving the right hand side parameters of the constraints as normal random variables with known means and variances and the objective function coefficients are considered as triangular possibility distribution. In order to solve the proposed problem, convert the problem into a crisp equivalent deterministic multi-objective mathematical programming problem and then solved by using fuzzy programming method. A numerical example is presented to illustrate the solution procedure and developed methodology.

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