Fuzzy Optimization
Gohar Shakouri; Seyed Hadi Nassery; Mohammad Mahdi Paydar
Abstract
Purpose: The transportation problem, as one of the most important and most practical models related to linear programming, has always been of interest to researchers. Due to the lack of accurate information, variable economic conditions, uncontrollable factors and especially variable conditions of available ...
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Purpose: The transportation problem, as one of the most important and most practical models related to linear programming, has always been of interest to researchers. Due to the lack of accurate information, variable economic conditions, uncontrollable factors and especially variable conditions of available resources, to adapt to the real conditions, we are faced with a kind of uncertainty, both flexibility in constraints and fuzzy nature of the parameters. Hence, one method to express the conditions of this modeling is to use flexible fuzzy numbers that make it more adaptable to real conditions.Methodology: In this research, after reviewing the research literature, the transportation problem is modeled by considering the flexible-interval fuzzy supply constraint. Then, for the solution process, a flexible fuzzy approach to the proposed model is studied.Findings: Numerical example analysis indicates that parametric linear programming approach offers a reliable design so that the decision maker can obtain a better selection of resources with the most satisfaction.Originality/Value: In this research, parametric approach with flexible relationship is discussed and based on the research results, the solution is obtained with the most satisfaction in constraints.