Fuzzy optimization
A signed distance for (γ,δ) interval-valued fuzzy numbers to solve multi objective assignment problems with fuzzy parameters

Hamiden Abdelwahed Khalifa

Volume 11, Issue 2 , June 2022, , Pages 205-213


  In this paper, a multi-objective assignment problem with fuzzy parameters (FMOASP) is introduced. These fuzzy parameters are characterized by an  interval-valued fuzzy numbers instead of fuzzy numbers. The signed distance ranking of  interval- valued fuzzy numbers of the parameters are not ...  Read More

A signed distance method for solving multi-objective transportation problems in fuzzy environment

H. Abd El-Wahed Khalifa

Volume 8, Issue 3 , September 2019, , Pages 274-282


  This paper aims to study the multi-objective transportation problem with fuzzy parameters. These fuzzy parameters represented as (α, β) interval-valued fuzzy numbers instead of the normal fuzzy numbers. Using the signed distance ranking, the problem converted into the corresponding crisp ...  Read More

Game theory
On solving two-person zero-sum fuzzy matrix games via linear programming approach

H. A. Khalifa

Volume 8, Issue 1 , April 2019, , Pages 17-27


  In this paper, a two-person zero-sum matrix game with fuzzy numbers payoff is introduced. Using the fuzzy number comparison introduced by Rouben's method (1991), the fuzzy payoff is converted into the corresponding deterministic payoff. Then, for each player, a linear programming problem is formulated. ...  Read More