Fuzzy divergence measure based on Technique for Order of Preference by Similarity to Ideal Solution method for staff performance appraisal

Fuzzy set theory has extensively employed various divergence measure methods to quantify distinctions between two elements. The primary objective of this study is to introduce a generalized divergence measure integrated into the Technique for Order of Preference by Similarity to Ideal Solution (TOPS...

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Main Authors: Saidin, Mohamad Shahiir, Lee, Lai Soon, Seow, Hsin-Vonn, Pickl, Stefan
Format: Article
Language:English
Published: Multidisciplinary Digital Publishing Institute (MDPI) 2024
Online Access:http://psasir.upm.edu.my/id/eprint/112099/
http://psasir.upm.edu.my/id/eprint/112099/1/mathematics-12-00714-v2.pdf
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author Saidin, Mohamad Shahiir
Lee, Lai Soon
Seow, Hsin-Vonn
Pickl, Stefan
author_facet Saidin, Mohamad Shahiir
Lee, Lai Soon
Seow, Hsin-Vonn
Pickl, Stefan
author_sort Saidin, Mohamad Shahiir
building UPM Institutional Repository
collection Online Access
description Fuzzy set theory has extensively employed various divergence measure methods to quantify distinctions between two elements. The primary objective of this study is to introduce a generalized divergence measure integrated into the Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) approach. Given the inherent uncertainty and ambiguity in multi-criteria decision-making (MCDM) scenarios, the concept of the fuzzy α-cut is leveraged. This allows experts to establish a broader spectrum of rankings, accommodating fluctuations in their confidence levels. To produce consistent criteria weights with the existence of outliers, the fuzzy Method based on the Removal Effects of Criteria (MEREC) is employed. To showcase the viability and effectiveness of the proposed approach, a quantitative illustration is provided through a staff performance review. In this context, the findings are compared with other MCDM methodologies, considering correlation coefficients and CPU time. The results demonstrate that the proposed technique aligns with current distance measure approaches, with all correlation coefficient values exceeding 0.9. Notably, the proposed method also boasts the shortest CPU time when compared to alternative divergence measure methodologies. As a result, it becomes evident that the proposed technique yields more sensible and practical results compared to its counterparts in this category.
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publisher Multidisciplinary Digital Publishing Institute (MDPI)
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spelling upm-1120992024-10-23T07:29:01Z http://psasir.upm.edu.my/id/eprint/112099/ Fuzzy divergence measure based on Technique for Order of Preference by Similarity to Ideal Solution method for staff performance appraisal Saidin, Mohamad Shahiir Lee, Lai Soon Seow, Hsin-Vonn Pickl, Stefan Fuzzy set theory has extensively employed various divergence measure methods to quantify distinctions between two elements. The primary objective of this study is to introduce a generalized divergence measure integrated into the Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) approach. Given the inherent uncertainty and ambiguity in multi-criteria decision-making (MCDM) scenarios, the concept of the fuzzy α-cut is leveraged. This allows experts to establish a broader spectrum of rankings, accommodating fluctuations in their confidence levels. To produce consistent criteria weights with the existence of outliers, the fuzzy Method based on the Removal Effects of Criteria (MEREC) is employed. To showcase the viability and effectiveness of the proposed approach, a quantitative illustration is provided through a staff performance review. In this context, the findings are compared with other MCDM methodologies, considering correlation coefficients and CPU time. The results demonstrate that the proposed technique aligns with current distance measure approaches, with all correlation coefficient values exceeding 0.9. Notably, the proposed method also boasts the shortest CPU time when compared to alternative divergence measure methodologies. As a result, it becomes evident that the proposed technique yields more sensible and practical results compared to its counterparts in this category. Multidisciplinary Digital Publishing Institute (MDPI) 2024 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/112099/1/mathematics-12-00714-v2.pdf Saidin, Mohamad Shahiir and Lee, Lai Soon and Seow, Hsin-Vonn and Pickl, Stefan (2024) Fuzzy divergence measure based on Technique for Order of Preference by Similarity to Ideal Solution method for staff performance appraisal. Mathematics, 12 (5). art. no. 714. ISSN 2227-7390 https://www.mdpi.com/2227-7390/12/5/714 0.3390/math12050714
spellingShingle Saidin, Mohamad Shahiir
Lee, Lai Soon
Seow, Hsin-Vonn
Pickl, Stefan
Fuzzy divergence measure based on Technique for Order of Preference by Similarity to Ideal Solution method for staff performance appraisal
title Fuzzy divergence measure based on Technique for Order of Preference by Similarity to Ideal Solution method for staff performance appraisal
title_full Fuzzy divergence measure based on Technique for Order of Preference by Similarity to Ideal Solution method for staff performance appraisal
title_fullStr Fuzzy divergence measure based on Technique for Order of Preference by Similarity to Ideal Solution method for staff performance appraisal
title_full_unstemmed Fuzzy divergence measure based on Technique for Order of Preference by Similarity to Ideal Solution method for staff performance appraisal
title_short Fuzzy divergence measure based on Technique for Order of Preference by Similarity to Ideal Solution method for staff performance appraisal
title_sort fuzzy divergence measure based on technique for order of preference by similarity to ideal solution method for staff performance appraisal
url http://psasir.upm.edu.my/id/eprint/112099/
http://psasir.upm.edu.my/id/eprint/112099/
http://psasir.upm.edu.my/id/eprint/112099/
http://psasir.upm.edu.my/id/eprint/112099/1/mathematics-12-00714-v2.pdf