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Issue:Incorporating hesitation in intuitionistic fuzzy slack based measure efficiency with an application to MGNREGA: Difference between revisions

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Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/title | title = Incorporating hesitation in intuitionistic fuzzy slack based measure efficiency with an application to MGNREGA | shortcut = nifs/32/2/176-191 }} {{issue/author | author = Meena Yadav | institution = Department of Applied Sciences and Humaniti..."
 
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# Shen, F., Ma, X., Li, Z., Xu, Z., & Cai, D. (2018). An extended intuitionistic fuzzy TOPSIS method based on a new distance measure with an application to credit risk evaluation. Information Sciences, 428, 105–119.
# Shen, F., Ma, X., Li, Z., Xu, Z., & Cai, D. (2018). An extended intuitionistic fuzzy TOPSIS method based on a new distance measure with an application to credit risk evaluation. Information Sciences, 428, 105–119.
# Singh, S. (2018). Intuitionistic fuzzy DEA/AR and its application to flexible manufacturing systems. RAIRO-Operations Research, 52(1), 241–257.
# Singh, S. (2018). Intuitionistic fuzzy DEA/AR and its application to flexible manufacturing systems. RAIRO-Operations Research, 52(1), 241–257.
# Singh, A. P., & Yadav, S. P. (2022). Development of FFDEA Models to Measure the Performance Efficiencies of DMUs. International Journal of Fuzzy Systems, 24(3), 1446–1454.
# Singh, N., & Pant, M. (2020). Efficiency assessment of Indian paper mills through fuzzy DEA. Materials and Manufacturing Processes, 35(6), 725–736.
# Sueyoshi, T., Goto, M., & Ueno, T. (2010). Performance analysis of US coal-fired power plants by measuring three DEA efficiencies. Energy Policy, 38(4), 1675–1688.
# Sueyoshi, T., Goto, M., & Ueno, T. (2010). Performance analysis of US coal-fired power plants by measuring three DEA efficiencies. Energy Policy, 38(4), 1675–1688.
# Tone, K. (2001). A slacks-based measure of efficiency in data envelopment analysis. European Journal of Operational Research, 130(3), 498–509.
# Tone, K. (2001). A slacks-based measure of efficiency in data envelopment analysis. European Journal of Operational Research, 130(3), 498–509.

Revision as of 22:58, 27 October 2026

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Title of paper: Incorporating hesitation in intuitionistic fuzzy slack based measure efficiency with an application to MGNREGA
Author(s):
Meena Yadav     0000-0002-0322-4486
Department of Applied Sciences and Humanities, Dronacharya College of Engineering, Farrukhnagar, Harayana, India
yadavmeenu3793@gmail.com
Shiv Prasad Yadav     0000-0002-0129-3736
Department of Mathematics, IIT Roorkee, Roorkee, India
spyorfma@gmail.com
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 2, pages 176–191
DOI: https://doi.org/10.7546/nifs.2026.32.2.176-191
Download:  PDF (1012  Kb, File info)
Abstract: The intuitionistic fuzzy set theory was introduced by Atanassov to lay focus on the hesitation present in a variable while deciding the degree of membership in fuzzy sets. The studies done on intuitionistic fuzzy sets deal extensively with the membership and non-membership function of the variables and pays little attention to the hesitation. The present study tries to dig deeper into the hesitation of triangular intuitionistic fuzzy numbers. We also try to establish the effect of hesitation on efficiency of decision making units. The hesitation and relative efficiency are inversely related. The presence of higher hesitation in a firm would lead to lower efficiency. In this study we have developed a mathematical model using SBM model to calculate the relative efficiency incorporated with hesitation in the decision making units and proposed a ranking algorithm to compare them. The proposed method has been applied to the scheme of MGNREGA to calculate the efficiencies of Indian States. The best performers have come out to be the States of Tamil Nadu, Andhra Pradesh and Tripura, whereas, the worst performers are the States of Manipur, Gujarat and Nagaland.
Keywords: Fuzzy sets, Intuitionistic fuzzy sets, Data envelopment analysis, Intuitionistic fuzzy data envelopment analysis, Ranking of intuitionistic fuzzy sets, Efficiency interval.
AMS Classification: 90-XX, 03E72.
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