Solving multi-level multiobjective fractional programming problem with rough interval parameter in neutrosophic environment

Ahmad, Firoz; Ahmad, Shafiq; Soliman, Ahmed T.; Abdollahian, Mali

doi:10.1051/ro/2021108

Cited by 11 publications

(3 citation statements)

References 28 publications

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“…First, Smarandache (1999) investigated the neutrosophic set (NS), which comprises three membership functions, namely, truth (degree of belongingness), indeterminacy (degree of belongingness up to some extent) and a falsity (degree of non-belongingness) functions of the element into the NS. The word “ neutrosophic ” is the hybrid mixture of two different words, namely; “ neutre ” taken from French means neutral, and “ Sophia ” derived from Greek means skill/wisdom, which gives the meaning “ knowledge of neutral thoughts ” (see Ahmad and Adhami (2019a), Ahmad et al (2019, 2020, 2021a). The independent indeterminacy degree is well enough to differentiate itself from FS and IFS.…”

Section: Solution Methodologymentioning

confidence: 99%

A fuzzy quantitative model for assessing the performance of pharmaceutical supply chain under uncertainty

Ahmad

John

2021

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PurposeThis study aims to investigate a reliability-level demand-oriented pharmaceutical supply chain design with maximal anticipated demand coverage. Different hospitals with the particular reliability value associated with the various pharmaceutical items (PIs) are considered. An inter-connected multi-period supply chain comprising manufacturers, distribution centers, hospitals and patients is assumed for the smooth flow of health-care items, enhancing supply chain reliability. A reliability index for PIs is depicted to highlight product preference and facilitate hospitals’ service levels for patients.Design/methodology/approachA mixed-integer multi-objective programming problem that maximizes maximal demand coverage minimizes the total economic costs and pharmaceutical delivery time is depicted under intuitionistic fuzzy uncertainty. Further, a novel interactive neutrosophic programming approach is developed to solve the proposed pharmaceutical supply chain management (PSCM) model. Each objective’s marginal evaluation is elicited by various sorts of membership functions such as linear, exponential and hyperbolic types of membership functions and depicted the truth, indeterminacy and falsity membership degrees under a neutrosophic environment.FindingsThe proposed PSCM model is implemented on a real case study and solved using an interactive neutrosophic programming approach that reveals the proposed methods’ validity and applicability. An ample opportunity to generate the compromise solution is suggested by tuning various parameters. The outcomes are evaluated with practical managerial implications based on the significant findings. Finally, conclusions and future research scope are addressed based on the proposed work.Research limitations/implicationsThe propounded study has some limitations that can be addressed in future research. The discussed PSCM model can be merged with and extended by considering environmental factors such as the health-care waste management system, which is not included in this study. Uncertainty among parameters due to randomness can be incorporated and can be tackled with historical data. Besides, proposed interactive neutrosophic programming approach (INPA), various metaheuristic approaches may be applied to solve the proposed PSCM model as a future research scope.Practical implicationsThe strategy advised is to provide an opportunity to create supply chains and manufacturing within India by helping existing manufacturers to expand, identifying new manufacturers, hand-holding and facilitating, teams of officers, engineers and scientists deployed and import only if necessary to meet timelines. Thus, any pharmaceutical company or organization can adopt the production and distribution management initiatives amongst hospitals to strengthen and enable the pharmaceutical company while fighting fatal diseases during emergencies. Finally, managers or policy-makers can take advantage of the current study and extract fruitful pieces of information and knowledge regarding the optimal production and distribution strategies while making decisions.Originality/valueThis research work manifests the demand-oriented extension of the integrated PSCM design with maximum expected coverage, where different hospitals with pre-determined reliability values for various PIs are taken into consideration. The practical managerial implications are explored that immensely support the managers or practitioners to adopt the production and distribution policies for the PIs to ensure the sustainability in supply chain design.

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Section: Solution Methodologymentioning

confidence: 99%

A fuzzy quantitative model for assessing the performance of pharmaceutical supply chain under uncertainty

Ahmad

John

2021

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“…The concept of neutrosophic set theory (NST) was first introduced by Smarandache (1999) to address the uncertainty or inconsistency of information that usually exists in real situations. In other words, fuzzy mathematical theory is suitable for handling the educational solution preference problem (Ahmad et al, 2021c). However, these fuzzy sets have only one degree of membership, so they cannot effectively manage more complicated decision-making problems.…”

Section: Introductionmentioning

confidence: 99%

An FMEA model for risk assessment of university sustainability: using a combined ITARA with TOPSIS-AL approach based neutrosophic sets

Lin

2023

Ann Oper Res

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It is necessary to emphasize both the process and results of performance management to find the balance between quality and quantity needed to ensure the sustainable development of universities to make the best use of limited educational resources and meet the diverse needs of students. This study applies failure mode and effects analysis (FMEA) to analyze obstacles to university sustainability by constructing complete risk assessment modes and reference indicators. The neutrosophic set theory was incorporated into the FMEA to account for information uncertainty and asymmetry. A specialist team then evaluated the importance of the risk factors using neutrosophic indifference threshold-based attribute ratio analysis to determine objective weights for the risk factors. Furthermore, the neutrosophic technique for order preference by similarity to the ideal solution based on aspiration level (N-TOPSIS-AL) is employed to aggregate the total risk scores of the failure modes. Using neutrosophic sets to measure truth, falsity, and indeterminacy in the assessment significantly improve the adaptability of the fuzzy theory to real-world problems. The study results indicate that when assessing university affairs management and analyzing possible risks, priority must be given to the occurrence of risks and that the lack of educational facilities is the riskiest item in the specialist assessment. The proposed assessment model can be applied as a basis for university sustainability assessments to accelerate the development of other forward-looking approaches.

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“…In their proposed model, Ghosh and Roy [ 28 ] built a multiobjective product mixing fixed-charge transportation problem with truckload constraints, and an extra cost that was considered as a type-I fixed charge was explored, as well as truck load limits. In a neutrosophic context, Ahmad et al [ 29 ] proposed a new approach for addressing multilevel linear fractional programming problems, with the objective function coefficients represented by rough intervals.…”

Section: Introductionmentioning

confidence: 99%

A Novel Approach for Characterizing Solutions of Rough Optimization Problems Based on Boundary Region

Khalifa

Pamučar

Kacem

et al. 2022

Computational Intelligence and Neuroscience

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Rough set theory, presented by Pawlak in 1981, is one of the most well-known methods for communicating ambiguity by estimating an item based on some knowledge rather than membership. The concept of a rough function and its convexity and differentiability in regard to its boundary region are discussed in this work. The boundary notion is also used to present a new form of rough programming issue and its solutions. Finally, numerical examples are provided to demonstrate the proposed method and emphasize its advantages over other approaches.

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Solving multi-level multiobjective fractional programming problem with rough interval parameter in neutrosophic environment

Cited by 11 publications

References 28 publications

A fuzzy quantitative model for assessing the performance of pharmaceutical supply chain under uncertainty

A fuzzy quantitative model for assessing the performance of pharmaceutical supply chain under uncertainty

An FMEA model for risk assessment of university sustainability: using a combined ITARA with TOPSIS-AL approach based neutrosophic sets

A Novel Approach for Characterizing Solutions of Rough Optimization Problems Based on Boundary Region

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