An approach to solve an unbalanced fully rough multi-objective fixed-charge transportation problem

Shivani, None; Rani, Deepika; Ebrahimnejad, Ali

doi:10.1007/s40314-022-01830-5

Cited by 11 publications

(3 citation statements)

References 49 publications

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“…Also methodology illustrates a transportation problem in tourism sector switching between both balanced and unbalanced cases. Shivani et al [30] studied multiobjective NLP with rough interval parameters which originates for the management of solid wastes, the model aimed to optimize the cost of waste transportation, cost of waste treatment and the revenue generated from various treatment facilities. Sumati Maharajan et al [31] developed a simplified novel goal programming method under intuitionistic fuzzy environment using both membership/non-membership functions.…”

Section: Literature Reviewmentioning

confidence: 99%

An optimization model for fuzzy nonlinear programming with Beale's conditions using trapezoidal membership functions

Kaliyaperumal,

2024

Proyecciones (Antofagasta)

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Non-linear Programming (NLP) is an optimization technique for determining the optimum solution to a broad range of research issues. Many times, the objective function is non-linear, owing to various economic behaviors such as demand, cost, and many others. Since the appearance of Kuhn and Tucker's fundamental theoretical work, a general NLP problem can be resolved using many methods to find the optimum solution. In this chapter, a fuzzy mathematical model based on Beale's condition is proposed to address NLP with inequality constraints in terms of fuzziness. Furthermore, the model demonstrates how quadratic programming problems can be solved using membership functions. The model also describes three stages: that is, mathematical formulation, computational procedures, and numerical illustration with comparative analysis. Likewise, the model illustrates the considered problem using two distinct approaches, namely membership functions (MF) and robust ranking index. Finally, the comparison analysis provides detailed results and discussion that justify the optimal outcome in order to address the vagueness of certain NLPPs.

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Section: Literature Reviewmentioning

confidence: 99%

An optimization model for fuzzy nonlinear programming with Beale's conditions using trapezoidal membership functions

Kaliyaperumal,

2024

Proyecciones (Antofagasta)

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“…Representative objective weighting methods include the entropy weight method [64], MEREC method [50], CRITIC method [4], etc. [8,51]. The MEREC is a new objective weighting method whose main objective is to evaluate the effect of each attribute on the overall performance of the alternative to determine the weight of the attribute.…”

Section: Introductionmentioning

confidence: 99%

A single-valued neutrosophic credibility numbers multi-attribute group decision-making method based on CPT-EDAS and consensus model

Liu,

Shen,

Zhang

et al. 2023

Preprint

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Purpose –In this paper, we investigate the multi-attribute group decision-making (MAGDM) method for single-valued neutrosophic credibility numbers (SvNCNs), consider a consensus model for group decision-making (GDM) in SvNCN environments, and construct a decision-support system for the evaluation of suppliers of data analysis tools (DAT). Design/methodology/approach –First, the concept of SvNCNs and the related theory are given, and several dice distance measures for SvNCNs are proposed. Secondly, a consensus model in the SvNCN environment is proposed. At the same time, the subjective and objective weights of attributes are determined by using the AHP method and MEREC method, and the combined weights are calculated based on the Uninorm operator. Then, considering the “limited rationality” behavior of decision makers (DMs), the CPT is integrated into the EDAS method. Finally, an example analysis and comparative analysis are conducted to verify the effectiveness and feasibility of the technique. Findings –This method enriches the MAGDM theory of SvNCNs by considering group consensus, CPT, and the Uninorm operator to determine the combination weights. Research limitations/implications –This study contributes to the literature on fuzzy set theory and MAGDM methods, enriching the theoretical and application scenarios of SvNCNs. Practical implications –This research informs decision information for decision theory for SvNCNs, which applies to several domains, such as MAGDM, large-scale group decision-making, mathematical statistics, and artificial intelligence. Originality/value –This technique combined the consensus model, CPT-EDAS, and Uninorm operator to enrich the decision theory of SvNCNs.

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“…Currently, a number of researchers [9,14,25,26,32,33] have given their consideration on various properties of rough interval to solve the transportation problem such as Bera et al [9] investigated the model of 4D transportation problem with rough intervals to maximize the profit. Garg and Allah [14] proposed a novel approach to solve the rough interval multi-objective transportation problems.…”

Section: Introductionmentioning

confidence: 99%

An approach for unbalanced fully rough interval transportation problem

SHİVANİ,

RANİ,

EBRAHİMNRJAD

2023

Hacettepe Journal of Mathematics and Statistics

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In this study, we consider an unbalanced fully rough interval transportation problem, where all the parameters and decision variables are represented by rough interval numbers. A method named as split and separation method has been proposed in the literature to find the optimal solution of balanced fully rough interval transportation problem. As per our knowledge, no method exists in the literature to solve an unbalanced fully rough interval transportation problem. Therefore, a new method is proposed in this study to solve such problem. Using proposed methodology, firstly the unbalanced problem is converted into a balanced one and then the optimal solution of the balanced problem is obtained. To show the applicability of the proposed methodology, a numerical example is solved. Finally, the study’s conclusions and future research directions are discussed.

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An approach to solve an unbalanced fully rough multi-objective fixed-charge transportation problem

Cited by 11 publications

References 49 publications

An optimization model for fuzzy nonlinear programming with Beale's conditions using trapezoidal membership functions

An optimization model for fuzzy nonlinear programming with Beale's conditions using trapezoidal membership functions

A single-valued neutrosophic credibility numbers multi-attribute group decision-making method based on CPT-EDAS and consensus model

An approach for unbalanced fully rough interval transportation problem

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