Generalized Heptagonal Membership Function for Fully Fuzzy Linear Fractional Programming Problems
Identifying the optimum solution that satisfies the restrictions and maximizes or minimizes the objective function is the aim of fully fuzzy fractional programming (FFFLP). Due to the inclusion of both fuzzy parameters and fractional variables, this problem is difficult to solve. Several approa...
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University of Baghdad
2025-01-01
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| Series: | Ibn Al-Haitham Journal for Pure and Applied Sciences |
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| Online Access: | https://jih.uobaghdad.edu.iq/index.php/j/article/view/3596 |
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| author | Israa Hadi Iden H. Al Kanani |
| author_facet | Israa Hadi Iden H. Al Kanani |
| author_sort | Israa Hadi |
| collection | DOAJ |
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Identifying the optimum solution that satisfies the restrictions and maximizes or minimizes the objective function is the aim of fully fuzzy fractional programming (FFFLP). Due to the inclusion of both fuzzy parameters and fractional variables, this problem is difficult to solve. Several approaches, including linear programming, nonlinear programming, genetic algorithms, and computational intelligence algorithms, have been suggested to handle fully fuzzy fractional linear programming (FFFL) problems. For describing the uncertainty, vagueness, or imprecision of information in the real world, triangular and trapezoidal fuzzy numbers are frequently used. Indeed, it is not always practical to limit the membership function to a triangle or trapezoid. This paper submits a new type of Heptagonal fuzzy number and a novel ranking function approach based on generalized heptagonal membership functions suggested for ordering heptagonal fuzzy numbers. On the other hand, we develop the algorithm of the simplex method to find the optimal fuzzy solution for (FFFLP).
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| format | Article |
| id | doaj-art-2e81c0539fe64400aa0621fde0a5199f |
| institution | Kabale University |
| issn | 1609-4042 2521-3407 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | University of Baghdad |
| record_format | Article |
| series | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| spelling | doaj-art-2e81c0539fe64400aa0621fde0a5199f2025-01-22T01:21:06ZengUniversity of BaghdadIbn Al-Haitham Journal for Pure and Applied Sciences1609-40422521-34072025-01-0138110.30526/38.1.3596Generalized Heptagonal Membership Function for Fully Fuzzy Linear Fractional Programming ProblemsIsraa Hadi0https://orcid.org/0000-0001-9289-0909Iden H. Al Kanani1https://orcid.org/0000-0002-6492-8196Department of Mathematics,College of Science, University,of Baghdad, Baghdad, Iraq.Department of Mathematics, College of Science for Women, University of Baghdad, Baghdad, Iraq. Identifying the optimum solution that satisfies the restrictions and maximizes or minimizes the objective function is the aim of fully fuzzy fractional programming (FFFLP). Due to the inclusion of both fuzzy parameters and fractional variables, this problem is difficult to solve. Several approaches, including linear programming, nonlinear programming, genetic algorithms, and computational intelligence algorithms, have been suggested to handle fully fuzzy fractional linear programming (FFFL) problems. For describing the uncertainty, vagueness, or imprecision of information in the real world, triangular and trapezoidal fuzzy numbers are frequently used. Indeed, it is not always practical to limit the membership function to a triangle or trapezoid. This paper submits a new type of Heptagonal fuzzy number and a novel ranking function approach based on generalized heptagonal membership functions suggested for ordering heptagonal fuzzy numbers. On the other hand, we develop the algorithm of the simplex method to find the optimal fuzzy solution for (FFFLP). https://jih.uobaghdad.edu.iq/index.php/j/article/view/3596Fully Fuzzy Linear Fractional ProgrammingHeptagonal Fuzzy NumberArithmetic Heptagonal OperationsMembership FunctionRanking functionFully Fuzzy Simplex method |
| spellingShingle | Israa Hadi Iden H. Al Kanani Generalized Heptagonal Membership Function for Fully Fuzzy Linear Fractional Programming Problems Ibn Al-Haitham Journal for Pure and Applied Sciences Fully Fuzzy Linear Fractional Programming Heptagonal Fuzzy Number Arithmetic Heptagonal Operations Membership Function Ranking function Fully Fuzzy Simplex method |
| title | Generalized Heptagonal Membership Function for Fully Fuzzy Linear Fractional Programming Problems |
| title_full | Generalized Heptagonal Membership Function for Fully Fuzzy Linear Fractional Programming Problems |
| title_fullStr | Generalized Heptagonal Membership Function for Fully Fuzzy Linear Fractional Programming Problems |
| title_full_unstemmed | Generalized Heptagonal Membership Function for Fully Fuzzy Linear Fractional Programming Problems |
| title_short | Generalized Heptagonal Membership Function for Fully Fuzzy Linear Fractional Programming Problems |
| title_sort | generalized heptagonal membership function for fully fuzzy linear fractional programming problems |
| topic | Fully Fuzzy Linear Fractional Programming Heptagonal Fuzzy Number Arithmetic Heptagonal Operations Membership Function Ranking function Fully Fuzzy Simplex method |
| url | https://jih.uobaghdad.edu.iq/index.php/j/article/view/3596 |
| work_keys_str_mv | AT israahadi generalizedheptagonalmembershipfunctionforfullyfuzzylinearfractionalprogrammingproblems AT idenhalkanani generalizedheptagonalmembershipfunctionforfullyfuzzylinearfractionalprogrammingproblems |