A Novel Approach to Solve Fully Fuzzy Linear Programming Problems with Modified Triangular Fuzzy Numbers

Recently, new methods have been recommended to solve fully fuzzy linear programming (FFLP) issues. Likewise, the present study examines a new approach to solve FFLP issues through fuzzy decision parameters and variables using triangular fuzzy numbers. The strategy, which is based on alpha-cut theory...

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Bibliographic Details
Published in:Mathematics (Basel) Vol. 9; no. 22; p. 2937
Main Authors: Ghoushchi, Saeid Jafarzadeh, Osgooei, Elnaz, Haseli, Gholamreza, Tomaskova, Hana
Format: Journal Article
Language:English
Published: Basel MDPI AG 01.11.2021
Subjects:
alpha-cut theory
Decision making
fully fuzzy linear programming
fuzzy decision variables
Fuzzy sets
Fuzzy systems
Linear programming
modified triangular fuzzy numbers
Operations research
Optimization
ISSN:2227-7390, 2227-7390
Online Access:Get full text
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Summary:Recently, new methods have been recommended to solve fully fuzzy linear programming (FFLP) issues. Likewise, the present study examines a new approach to solve FFLP issues through fuzzy decision parameters and variables using triangular fuzzy numbers. The strategy, which is based on alpha-cut theory and modified triangular fuzzy numbers, is suggested to obtain the optimal fully fuzzy solution for real-world problems. In this method, the problem is considered as a fully fuzzy problem and then is solved by applying the new definition presented for the triangular fuzzy number to optimize decision variables and the objective function. Several numerical examples are solved to illustrate the above method.
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ISSN:2227-7390
2227-7390
DOI:10.3390/math9222937