Solving fully linear programming problem based on Z-numbers

Generally exploring the exact solution of linear programming problems in which all variables and parameters are Z-numbers, is either not possible or difficult. Therefore, a few numerical methods to find the numerical solutions do act an important role in these problems. In this paper, we concentrate...

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Bibliographic Details
Published in:Iranian journal of fuzzy systems (Online) Vol. 20; no. 7; p. 157
Main Authors: Joghataee, M, Allahviranloo, T, F. Hosseinzadeh Lotfi, Ebrahimnejad, A, Abbasbandy, S, Amirteimoori, A, Catak, M
Format: Journal Article
Language:English
Published: Zahedan University of Sistan and Baluchestan, Iranian Journal of Fuzzy Systems 01.11.2023
Subjects:
Applied mathematics
Fuzzy sets
Linear programming
Mathematical models
Numbers
Numerical analysis
Random variables
ISSN:1735-0654, 2676-4334
Online Access:Get full text
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Summary:Generally exploring the exact solution of linear programming problems in which all variables and parameters are Z-numbers, is either not possible or difficult. Therefore, a few numerical methods to find the numerical solutions do act an important role in these problems. In this paper, we concentrate on introducing a new numerical method to solve such problems based on the ranking function. After proving the necessary theories, for more illustrations and the correctness of the topic, some theoretical and practical examples are also provided. Finally, the results obtained from the proposed method have been compared with some existing methods.
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ISSN:1735-0654
2676-4334
DOI:10.22111/ijfs.2023.7669