Modeling of linear programming and extended TOPSIS in decision making problem under the framework of picture fuzzy sets

Sindhu, Muhammad Sarwar; Rashid, Tabasam; Kashif, Agha

doi:10.1371/journal.pone.0220957

Cited by 38 publications

(10 citation statements)

References 33 publications

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“…One method commonly used for multicriteria decision-making techniques (Multiple Attribute Decision Making MADM) is the fuzzy-TOPSIS method, which was first introduced by Yoon (1980), Hwang and Yoon (1981), Yoon and Kim (2017). Furthermore, this method has been used by Rouhani et al (2012), Fadhil et al (2017a), Fadhil et al (2017b), Shindu et al (2019), Fadhil et al (2019), Yazdi et al (2020), and Rouyendegh et al (2020). Fuzzy-TOPSIS method can help in evaluating of various alternatives of various criteria that are considered, including in determining the right method to produce high-quality food products based on sensory evaluation.…”

Section: Fuzzy-topsis Methodsmentioning

confidence: 99%

Sensory Evaluation of Pliek-U Quality Using Fuzzy-Topsis Method

Agustina

Mustaqimah

Fadhil

et al. 2020

Acta Technologica Agriculturae

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The purpose of this study is to apply one of the decision-making methods, namely the fuzzy-TOPSIS method, to determine the best alternative of coconut fermentation in process of making Pliek-U, which is a typical powder made of coconut and is used for traditional cooking recipes by people in Aceh Province, Indonesia. The weight of fuzzy criteria and judgments about alternative methods of coconut fermentation was used to calculate the sensory evaluation scores and Pliek-U quality ratings. It can help to determine the quality of the Pliek-U. Sensory evaluation results for the quality of Pliek-U using the fuzzy-TOPSIS method showed that the most ideal alternative of the coconut fermentation method in the process of making Pliek-U is the 10-day coconut fermentation method, because it had the highest closeness coefficient (0.7484) in contrast to the 7-day coconut fermentation method (0.5425), and 4-day coconut fermentation method (0.3291). The fuzzy-TOPSIS method utilization was beneficial for generating the sensory multi-criteria assessment calculations through weighting, so that the process of determining consumer acceptance of the product assessed became easier and faster.

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Section: Fuzzy-topsis Methodsmentioning

confidence: 99%

Sensory Evaluation of Pliek-U Quality Using Fuzzy-Topsis Method

Agustina

Mustaqimah

Fadhil

et al. 2020

Acta Technologica Agriculturae

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“…Meksavang et al [38] utilized the picture fuzzy VIKOR method to evaluate suppliers in the beef supply chain. Sindhu et al [51] coupled the linear programming approach and the picture fuzzy TOP-SIS method. Torun and Gördebil [60] applied the picture fuzzy TOPSIS method for evaluating citizens' satisfaction levels from public services.…”

Section: Picture Fuzzy Set Based Multi-criteria Decision-making Modelsmentioning

confidence: 99%

Picture fuzzy WASPAS method for selecting last-mile delivery mode: a case study of Belgrade

Šimić

Lazarević

Dobrodolac

2021

Eur. Transp. Res. Rev.

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Background Last-mile delivery (LMD) is becoming more and more demanding due to an increasing number of users and traffic problems in cities. Besides, medical crises (like the COVID-19 outbreak) and air pollution represent additional motives for the transition from traditional to socially and environmentally sustainable LMD mode. An emerging problem for companies in the postal and logistics industry is how to determine the best LMD mode in a multi-criteria setting under uncertainty. Method For the first time, an extension of the Weighted Aggregated Sum Product ASsessment (WASPAS) method under the picture fuzzy environment is presented to solve the LMD mode selection problem. The introduced picture fuzzy set (PFS) based multi-criteria decision-making (MCDM) method can be highly beneficial to managers who are in charge of LMD since it can take into account the neutral/refusal information and efficiently deal with high levels of imprecise, vague, and uncertain information. The comparative analysis with the existing state-of-the-art PFS-based MCDM methods approved the high reliability of the proposed picture fuzzy WASPAS method. Its high robustness and consistency are also confirmed. The presented method can be used to improve LMD in urban areas worldwide. Besides, it can be applied to solve other emerging MCDM problems in an uncertain environment. Findings A real-life case study of Belgrade is presented to fully illustrate the potentials and applicability of the picture fuzzy WASPAS method. The results show that postomates are the best mode for LMD in Belgrade, followed by cargo bicycles, drones, traditional delivery, autonomous vehicles, and tube transport.

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“…Strategic decision-making problems were discussed by cosine similarity measures for PFSs [32]. Picture fuzzy linear programming-based TOPSIS method were discussed by Sindhu et al [33]. The entropy for PFSs and their corresponded similarity measures were defined by Thao [34].…”

Section: Introductionmentioning

confidence: 99%

Picture Fuzzy Soft Robust VIKOR Method and its Applications in Decision-Making

Khan

Kumam

Al-Kenani

2021

Fuzzy Information and Engineering

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This paper introduces the Euclidean, Hamming, and the generalized distance measures for picture fuzzy soft sets and discusses their properties. The numerical examples of decision-making and pattern recognition are focused. We also develop a robust VIKOR method for PFSSs. The relative and precise ideal picture fuzzy values (PFVs), robust factors and ranking indexes are defined. Different algorithmic procedures of robust VIKOR based on the relative and precise ideal PFVs, relative and precise robust factor, precise and picture fuzzy weights and relative and precise ranking indexes are proposed. In the end, the investment problem is solved by using the proposed method.

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Modeling of linear programming and extended TOPSIS in decision making problem under the framework of picture fuzzy sets

Cited by 38 publications

References 33 publications

Sensory Evaluation of Pliek-U Quality Using Fuzzy-Topsis Method

Sensory Evaluation of Pliek-U Quality Using Fuzzy-Topsis Method

Picture fuzzy WASPAS method for selecting last-mile delivery mode: a case study of Belgrade

Picture Fuzzy Soft Robust VIKOR Method and its Applications in Decision-Making

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