A fuzzy parametric model for decision making involving F-OWA operator with unknown weights environment
Weight determining of attributes is an important factor in decision support systems since it corresponds to the relative importance of each criteria which is necessary to be determined since all the attributes aren't equally important. The aim of this paper is to put forward a method for multi...
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| Language: | English |
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Elsevier
2023-09-01
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| Series: | Heliyon |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844023071773 |
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| author | Muhammad Touqeer Saleh Al Sulaie Showkat Ahmad Lone Kiran Shaheen Nevine M. Gunaime Mohamed Abdelghany Elkotb |
| author_facet | Muhammad Touqeer Saleh Al Sulaie Showkat Ahmad Lone Kiran Shaheen Nevine M. Gunaime Mohamed Abdelghany Elkotb |
| author_sort | Muhammad Touqeer |
| collection | DOAJ |
| description | Weight determining of attributes is an important factor in decision support systems since it corresponds to the relative importance of each criteria which is necessary to be determined since all the attributes aren't equally important. The aim of this paper is to put forward a method for multi Criteria decision making (MCDM) problems based on three trapezoidal fuzzy numbers under completely unknown weights environment. Based on the idea that the attribute with a larger deviation value among alternatives should be assigned a larger weight, an optimization model based on maximizing deviation method is established. F-OWA is considered to be vastly superior from the existing operators which usually take into account only the relative significance of decision makers. F-OWA operator considers not only the ratings of attribute values but also their ordered position that is it not only signifies the decision makers but also values the individual assessments. We utilize fuzzy ordered weighted averaging (F-OWA) operator to compute the collective overall preference value of each alternative and select the most desirable one according to their expected score values. The presented method is more generalized since we have used TTFNs, which are more effective in capturing uncertainty than IT2FS, just like triangular fuzzy numbers have a better representational power than simple interval numbers. Moreover, an illustrative example is given for the justification of the proposed technique. |
| first_indexed | 2024-03-11T20:49:32Z |
| format | Article |
| id | doaj.art-551774e5e1a24750ba4387708ab163d2 |
| institution | Directory Open Access Journal |
| issn | 2405-8440 |
| language | English |
| last_indexed | 2024-03-11T20:49:32Z |
| publishDate | 2023-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj.art-551774e5e1a24750ba4387708ab163d22023-10-01T06:02:03ZengElsevierHeliyon2405-84402023-09-0199e19969A fuzzy parametric model for decision making involving F-OWA operator with unknown weights environmentMuhammad Touqeer0Saleh Al Sulaie1Showkat Ahmad Lone2Kiran Shaheen3Nevine M. Gunaime4Mohamed Abdelghany Elkotb5Department of Basic Sciences, University of Engineering and Technology, Taxila 47050, Pakistan; Corresponding author.Department of Industrial Engineering, College of Engineering in Al-Qunfudah, Umm Al-Qura University, Makkah 21955, Saudi ArabiaDepartment of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh 11673, Kingdom of Saudi ArabiaDepartment of Basic Sciences, University of Engineering and Technology, Taxila 47050, PakistanDepartment of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh 11673, Kingdom of Saudi ArabiaMechanical Engineering Department, College of Engineering, King Khalid University, Abha 61421, Saudi ArabiaWeight determining of attributes is an important factor in decision support systems since it corresponds to the relative importance of each criteria which is necessary to be determined since all the attributes aren't equally important. The aim of this paper is to put forward a method for multi Criteria decision making (MCDM) problems based on three trapezoidal fuzzy numbers under completely unknown weights environment. Based on the idea that the attribute with a larger deviation value among alternatives should be assigned a larger weight, an optimization model based on maximizing deviation method is established. F-OWA is considered to be vastly superior from the existing operators which usually take into account only the relative significance of decision makers. F-OWA operator considers not only the ratings of attribute values but also their ordered position that is it not only signifies the decision makers but also values the individual assessments. We utilize fuzzy ordered weighted averaging (F-OWA) operator to compute the collective overall preference value of each alternative and select the most desirable one according to their expected score values. The presented method is more generalized since we have used TTFNs, which are more effective in capturing uncertainty than IT2FS, just like triangular fuzzy numbers have a better representational power than simple interval numbers. Moreover, an illustrative example is given for the justification of the proposed technique.http://www.sciencedirect.com/science/article/pii/S2405844023071773Linguistic variablesMaximizing deviationFuzzy ordered weighted averaging (F-OWA)Three trapezoidal fuzzy numbers (TTFNs) |
| spellingShingle | Muhammad Touqeer Saleh Al Sulaie Showkat Ahmad Lone Kiran Shaheen Nevine M. Gunaime Mohamed Abdelghany Elkotb A fuzzy parametric model for decision making involving F-OWA operator with unknown weights environment Heliyon Linguistic variables Maximizing deviation Fuzzy ordered weighted averaging (F-OWA) Three trapezoidal fuzzy numbers (TTFNs) |
| title | A fuzzy parametric model for decision making involving F-OWA operator with unknown weights environment |
| title_full | A fuzzy parametric model for decision making involving F-OWA operator with unknown weights environment |
| title_fullStr | A fuzzy parametric model for decision making involving F-OWA operator with unknown weights environment |
| title_full_unstemmed | A fuzzy parametric model for decision making involving F-OWA operator with unknown weights environment |
| title_short | A fuzzy parametric model for decision making involving F-OWA operator with unknown weights environment |
| title_sort | fuzzy parametric model for decision making involving f owa operator with unknown weights environment |
| topic | Linguistic variables Maximizing deviation Fuzzy ordered weighted averaging (F-OWA) Three trapezoidal fuzzy numbers (TTFNs) |
| url | http://www.sciencedirect.com/science/article/pii/S2405844023071773 |
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