A parametric approach to solve neutrosophic linear programming models

Abdelfattah, Walid

doi:10.1080/02522667.2020.1764695

Cited by 5 publications

(4 citation statements)

References 16 publications

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“…Kahraman et al (2019) devised the Neutrosophic Analytic Hierarchy Process (NAHP) and introduced a hybrid NAHP-NDEA algorithm for performance evaluation. Following that, Abdelfattah (2019), Mao et al (2020) and Yang et al (2020) investigated and developed the neutrosophic DEA model in a variety of real-world applications; see also (Abdelfattah, 2021;Edalatpanah, 2020b;Edalatpanah & Smarandache, 2019;Mao et al, 2020). We noticed a few research gaps in this fascinating area.…”

Section: Introductionmentioning

confidence: 82%

A comprehensive neutrosophic model for evaluating the efficiency of airlines based on SBM model of network DEA

Rasinojehdehi,

Valami

2023

Decis. Mak. Appl. Manag. Eng.

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This research aims to provide an innovative framework for evaluating airline performance through the networking of decision-making units (DMUs) and neutrosophic data. As a consequence, we propose a comprehensive methodology for assessing the efficiency of these decision-making units. Network data envelopment analysis (DEA) models deal with measurements of relative efficiency of DMUs when the insight of their internal structures is available. In network models, sub-processes are connected by links or intermediate products. Links have the dual role of output from one division or sub-process and input to another one. Therefore, improving the efficiency score of one division by increasing its output may reduce the score of another division because of increasing its input. To address this conflict, we proposed a new approach in Slack-Based Measure (SBM) framework and neutrosophic logic, which provide deeper insights regarding the sources of inefficiency. Our approach is a new network model, in which the intermediate products are classified into two groups of “input-type”, and “output-type” that their excesses and shortfalls directly concern with the objective function. The results of the illustrated case and analysis show that the constructed model may successfully produce performance assessments. By taking into account the number of slacks or surpluses of these products in the objective function, the proposed model gives analysts and managers a more accurate assessment of network structure efficiency. In this paper, we present a new model in the field of network data envelopment analysis with SBM approach in a neutrosphonic environment, in which for the first time the nature of intermediate products in terms of input or output is investigated. Also, the proposed framework is the first attempt to performance evaluation in neutrosophic network DEA.

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Section: Introductionmentioning

confidence: 82%

A comprehensive neutrosophic model for evaluating the efficiency of airlines based on SBM model of network DEA

Rasinojehdehi,

Valami

2023

Decis. Mak. Appl. Manag. Eng.

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“…Abdelfattah (2021): Assume that normalΦℵ=<(p,q,r),(η,λ,κ)> is a TNN. Then the aggregate coefficient normalΦℵ(α,β,γ) is defined as follows:where θ=14(αη+2(1-β)1-λ+(1-γ)1-κ) is called the variation degree of the single-valued TNN and α∈[0,η],β∈[λ,1],γ∈[κ,1].…”

Section: Literature Reviewmentioning

confidence: 99%

A parametric neutrosophic model for the solid transportation problem

Yuanxiang

Uluçay

2022

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PurposeThis research attempts to present a solid transportation problem (STP) mechanism in uncertain and indeterminate contexts, allowing decision makers to select their acceptance, indeterminacy and untruth levels.Design/methodology/approachDue to the lack of reliable information, changeable economic circumstances, uncontrolled factors and especially variable conditions of available resources to adapt to the real situations, the authors are faced with a kind of uncertainty and indeterminacy in constraints and the nature of the parameters of STP. Therefore, an approach based on neutrosophic logic is offered to make it more applicable to real-world circumstances. In this study, the triangular neutrosophic numbers (TNNs) have been utilized to represent demand, transportation capacity, accessibility and cost. Then, the neutrosophic STP was converted into an interval programming problem with the help of the variation degree concept. Then, two simple linear programming models were extracted to obtain the lower and upper bounds of the optimal solution.FindingsThe results reveal that the new model is not complicated but more flexible and more relevant to real-world issues. In addition, it is evident that the suggested algorithm is effective and allows decision makers to specify their acceptance, indeterminacy and falsehood thresholds.Originality/valueUnder the transportation literature, there are several solutions for TP and STP in crisp, fuzzy set (FS) and intuitionistic fuzzy set (IFS) conditions. However, the STP has never been explored in connection with neutrosophic sets to the best of the authors’ knowledge. So, this work tries to fill this gap by coming up with a new way to solve this model using NSs.

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“…Their parameters were presented with the trapezoidal neutrosophic number and presented a neutrosophic linear programming model technique. Abdelfattah [38] represented the entire linear programming coefficient by triangular neutrosophic numbers and used the fuzzy set theory to deal with neutrosophic linear programming models. Beera and Mahapatra [39] used a single-valued trapezoidal neutrosophic number for the linear programming problem with the objective function's coefficient and the constraints' right-hand side.…”

Section: Literature Reviewmentioning

confidence: 99%

Multiobjective Multi-Product Production Planning Problem Using Intuitionistic and Neutrosophic Fuzzy Programming

et al. 2021

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In this paper, a multiobjective multiproduct production planning (MOMPP) problem discussed for a hardware firm. The hardware firm produces various types of hardware locks and other items in a production run. The firm manager's objectives are minimizing the production cost and inventory holding cost while maximizing the net profit subject to some system constraints. The multiproduct production planning is solved with the last production run information precisely known to the decisionmaker, and finally, the model is solved using the intuitionistic and neutrosophic programming approaches, respectively. Also, the multiproduct production planning problem is discussed for situations when the product information is vague. The interval-valued trapezoidal neutrosophic numbers used to define this Vagueness. The multiobjective multiproduct production planning problem under fuzziness is solved using the neutrosophic compromise programming. The stepwise solution procedures are discussed using the case study.

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A parametric approach to solve neutrosophic linear programming models

Cited by 5 publications

References 16 publications

A comprehensive neutrosophic model for evaluating the efficiency of airlines based on SBM model of network DEA

A comprehensive neutrosophic model for evaluating the efficiency of airlines based on SBM model of network DEA

A parametric neutrosophic model for the solid transportation problem

Multiobjective Multi-Product Production Planning Problem Using Intuitionistic and Neutrosophic Fuzzy Programming

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