Parabolic Intuitionistic Fuzzy based Data Envelopment Analysis

Sahil, Mohammad Aqil; Kaushal, Meenakshi; Lohani, Q. M. Danish

doi:10.1109/fuzz45933.2021.9494600

Cited by 5 publications

(4 citation statements)

References 37 publications

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“…The supper efficiency method was employed to rank the DMUs comprehensively. Sahil et al [5] proposed parabolic intuitionistic fuzzy DEA models to calculate the parametric efficiency of DUMs based on the

cut and

cut approaches. Mohanta and Sharanappa [31] presented a new method to solve an intuitionistic fuzzy DEA model, which was applied to the agricultural sector in India.…”

Section: Literature Reviewmentioning

confidence: 99%

“…The IFN,

is called a Parabolic Intuitionistic Fuzzy Number (PIFN) if its membership and non-membership functions are defined as follows [5] :

Here

.…”

Section: Pertinent Definitionmentioning

confidence: 99%

“…Within the framework of DMU structures, DEA is categorized into two main approaches: black-box and network DEA. Black-box DEA utilizes initial inputs to generate final outputs without delving into internal processes, thereby overlooking inefficiencies (see [1] , [2] , [3] , [4] , [5] ). In contrast, the network’s DEA considers internal processes to identify the sources of inefficiency for each DMU individually.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Comprehensive intuitionistic fuzzy network data envelopment analysis incorporating undesirable outputs and shared resources

Sahil,

Lohani

2024

MethodsX

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cut and

cut approaches. Mohanta and Sharanappa [31] presented a new method to solve an intuitionistic fuzzy DEA model, which was applied to the agricultural sector in India.…”

Section: Literature Reviewmentioning

confidence: 99%

“…The IFN,

is called a Parabolic Intuitionistic Fuzzy Number (PIFN) if its membership and non-membership functions are defined as follows [5] :

Here

.…”

Section: Pertinent Definitionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Comprehensive intuitionistic fuzzy network data envelopment analysis incorporating undesirable outputs and shared resources

Sahil,

Lohani

2024

MethodsX

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“…Arteaga et al (2021) proposed a novel method for solving Intuitionistic Fuzzy Data Envelopment Analysis. Sahil et al (2021) proposed the parabolic intuitionistic fuzzy DEA model based on a parametric approach. Rasoulzadeh et al (2022) proposed an integrated Markowitz and the cross DEA models to measure efficiency of the enterprises in Tehran Stock exchange.…”

Section: Introductionmentioning

confidence: 99%

A Novel Technique for Solving Intuitionistic Fuzzy DEA Model: An Application in Indian Agriculture Sector

Mohanta

Sharanappa

Edalatpanah

2023

Preprint

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Fuzzy DEA is a performance measurement tool that is used to assess the performance of DMUs in highly uncertain environment. In this article, the Intuitionistic fuzzy DEA (IFDEA) model is proposed based on the triangular intuitionistic fuzzy numbers (TIFNs). The weighted Possibility mean for TIFNs are used to compare and rank the TIFN. The weighted possibility mean approach is proposed to solve IFDEA model that the IFDEA model is converted into its equivalent crisp DEA model to assess the relative efficiencies of the DMUs. One advantage of the proposed approach is that the attitude of the decision maker is considered while measuring the efficiency of the DMUs. The weight or risk factor δ є [0,1] indicates whether the decision maker is a risk taker, neutral, or adverse. The crisp DEA model is a LP problem that is solved by using an existing LP method with different risk factors to determine the efficiency score of the DMUs. The DMUs are ranked based on the overall efficiency score of the DMUs that is arithmetic mean of the efficiency scores of the DMUs with different risk factors. Two numerical example is given here to demonstrate the validity and applicability of the proposed technique and to compare the performance of the DMUs in the proposed approach with exciting ranking approach and expected value approach. A case study on the agriculture sector has been conducted in order to evaluate the agricultural performance of Indian states using the IFDEA model. According to the results of the IFDEA model, 15 (53.57%) out of the 28 Indian states were found to be efficient.

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A novel technique for solving intuitionistic fuzzy DEA model: an application in Indian agriculture sector

Mohanta,

Sharanappa

2023

MSE

View full text Add to dashboard Cite

Fuzzy DEA is a performance measurement tool that is used to assess the performance of DMUs in highly uncertain environments. In this article, the Intuitionistic fuzzy DEA (IFDEA) model is proposed based on the triangular intuitionistic fuzzy numbers (TIFNs). The weighted Possibility mean for TIFN is used to compare and rank the TIFN. The weighted possibility mean approach is proposed to solve the IFDEA model, and the IFDEA model is converted into its equivalent crisp DEA model to assess the relative efficiencies of the DMUs. One advantage of the proposed approach is that the attitude of the decision-maker is considered while measuring the efficiency of the DMUs. The weight or risk factor $$\delta \in [0,1]$$ δ ∈ [ 0 , 1 ] indicates whether the decision-maker is a risk-taker, neutral, or adverse. The crisp DEA model is a LP problem that is solved by using an existing LP method with different risk factors to determine the efficiency score of the DMUs. The DMUs are ranked based on the overall efficiency score of the DMUs, which is the arithmetic mean of the efficiency scores of the DMUs with different risk factors. Two numerical examples are given here to demonstrate the validity and applicability of the proposed technique and to compare the performance of the DMUs in the proposed approach with the exciting ranking approach and the expected value approach. A case study on the agriculture sector has been conducted in order to evaluate the agricultural performance of Indian states using the IFDEA model. According to the results of the IFDEA model, 15 (53.57%) out of the 28 Indian states were found to be efficient.

show abstract

Parabolic Intuitionistic Fuzzy based Data Envelopment Analysis

Cited by 5 publications

References 37 publications

Comprehensive intuitionistic fuzzy network data envelopment analysis incorporating undesirable outputs and shared resources

Comprehensive intuitionistic fuzzy network data envelopment analysis incorporating undesirable outputs and shared resources

A Novel Technique for Solving Intuitionistic Fuzzy DEA Model: An Application in Indian Agriculture Sector

A novel technique for solving intuitionistic fuzzy DEA model: an application in Indian agriculture sector

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