2022
DOI: 10.2298/yjor210219021n
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Knapsack problem in fuzzy nature: Different models based on credibility ranking method

Abstract: This paper deals with knapsack problem in fuzzy nature, where both the objective function and constraints are considered to be fuzzy. Three different models for fuzzy knapsack problem are proposed including, expected value model, chance-constrained model, and dependent-chance model. Credibility ranking method is applied to convert the fuzzy models into a crisp equivalent linear one considering triangular and trapezoidal fuzzy numbers. The solution of the fuzzy problem is obtained with respect… Show more

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Cited by 8 publications
(4 citation statements)
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“…Using the fuzzy entropy method, which was used for objectively determining the criterion weights, the results showed that criterion C1—the Subject of Insurance received the highest weight, while criterion C6—Convenience received the lowest weight. Unlike subjective methods for determining weights, objective methods determine the weights based on data dispersion within a certain criterion [ 52 , 53 ]. The greater the dispersion, the greater the importance of that criterion, and vice versa.…”
Section: Discussionmentioning
confidence: 99%
“…Using the fuzzy entropy method, which was used for objectively determining the criterion weights, the results showed that criterion C1—the Subject of Insurance received the highest weight, while criterion C6—Convenience received the lowest weight. Unlike subjective methods for determining weights, objective methods determine the weights based on data dispersion within a certain criterion [ 52 , 53 ]. The greater the dispersion, the greater the importance of that criterion, and vice versa.…”
Section: Discussionmentioning
confidence: 99%
“…Both sorts of uncertainty can arise from complex systems (Garg & Rani, 2013). Therefore, in order to make successful decisions, the quantification of uncertainty in the analysis of reliability is important (Chaube et al, 2018;Shakshi et al, 2022;Niksirat & Nasseri, 2022). To accommodate uncertainty during the assessment of a system's reliability, a fuzzytheoretic method has been applied by Knezevic & Odoom, (2001).…”
Section: Literature Backgroundmentioning
confidence: 99%
“…Consequently, evaluations are expressed as linguistic values, tailored to align with human cognition [64,65]. To utilize these values effectively, a fuzzy number membership function is formulated to assign fuzzy numbers to specific linguistic values [66]. In fuzzy numbers, the boundaries are not precisely delineated, leading to overlapping boundaries [67,68].…”
Section: Preliminariesmentioning
confidence: 99%