Application of induced preorderings in score function-based method for solving decision-making with interval-valued fuzzy soft information
Ranking interval-valued fuzzy soft sets is an increasingly important research issue in decision making, and provides support for decision makers in order to select the optimal alternative under an uncertain environment. Currently, there are three interval-valued fuzzy soft set-based decision-making...
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| Format: | Article |
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Multidisciplinary Digital Publishing Institute
2021
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| _version_ | 1825937644534628352 |
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| author | Ali, Mabruka Kilicman, Adem Khameneh, Azadeh Zahedi |
| author_facet | Ali, Mabruka Kilicman, Adem Khameneh, Azadeh Zahedi |
| author_sort | Ali, Mabruka |
| collection | UPM |
| description | Ranking interval-valued fuzzy soft sets is an increasingly important research issue in decision making, and provides support for decision makers in order to select the optimal alternative under an uncertain environment. Currently, there are three interval-valued fuzzy soft set-based decision-making algorithms in the literature. However, these algorithms are not able to overcome the issue of comparable alternatives and, in fact, might be ignored due to the lack of a comprehensive priority approach. In order to provide a partial solution to this problem, we present a group decision-making solution which is based on a preference relationship of interval-valued fuzzy soft information. Further, corresponding to each parameter, two crisp topological spaces, namely, lower topology and upper topology, are introduced based on the interval-valued fuzzy soft topology. Then, using the preorder relation on a topological space, a score function-based ranking system is also defined to design an adjustable multi-steps algorithm. Finally, some illustrative examples are given to compare the effectiveness of the present approach with some existing methods. |
| first_indexed | 2024-03-06T11:02:39Z |
| format | Article |
| id | upm.eprints-95952 |
| institution | Universiti Putra Malaysia |
| last_indexed | 2024-03-06T11:02:39Z |
| publishDate | 2021 |
| publisher | Multidisciplinary Digital Publishing Institute |
| record_format | dspace |
| spelling | upm.eprints-959522023-03-13T08:01:56Z http://psasir.upm.edu.my/id/eprint/95952/ Application of induced preorderings in score function-based method for solving decision-making with interval-valued fuzzy soft information Ali, Mabruka Kilicman, Adem Khameneh, Azadeh Zahedi Ranking interval-valued fuzzy soft sets is an increasingly important research issue in decision making, and provides support for decision makers in order to select the optimal alternative under an uncertain environment. Currently, there are three interval-valued fuzzy soft set-based decision-making algorithms in the literature. However, these algorithms are not able to overcome the issue of comparable alternatives and, in fact, might be ignored due to the lack of a comprehensive priority approach. In order to provide a partial solution to this problem, we present a group decision-making solution which is based on a preference relationship of interval-valued fuzzy soft information. Further, corresponding to each parameter, two crisp topological spaces, namely, lower topology and upper topology, are introduced based on the interval-valued fuzzy soft topology. Then, using the preorder relation on a topological space, a score function-based ranking system is also defined to design an adjustable multi-steps algorithm. Finally, some illustrative examples are given to compare the effectiveness of the present approach with some existing methods. Multidisciplinary Digital Publishing Institute 2021 Article PeerReviewed Ali, Mabruka and Kilicman, Adem and Khameneh, Azadeh Zahedi (2021) Application of induced preorderings in score function-based method for solving decision-making with interval-valued fuzzy soft information. Mathematics, 9 (13). art. no. 1575. pp. 1-19. ISSN 2227-7390 https://www.mdpi.com/2227-7390/9/13/1575 10.3390/math9131575 |
| spellingShingle | Ali, Mabruka Kilicman, Adem Khameneh, Azadeh Zahedi Application of induced preorderings in score function-based method for solving decision-making with interval-valued fuzzy soft information |
| title | Application of induced preorderings in score function-based method for solving decision-making with interval-valued fuzzy soft information |
| title_full | Application of induced preorderings in score function-based method for solving decision-making with interval-valued fuzzy soft information |
| title_fullStr | Application of induced preorderings in score function-based method for solving decision-making with interval-valued fuzzy soft information |
| title_full_unstemmed | Application of induced preorderings in score function-based method for solving decision-making with interval-valued fuzzy soft information |
| title_short | Application of induced preorderings in score function-based method for solving decision-making with interval-valued fuzzy soft information |
| title_sort | application of induced preorderings in score function based method for solving decision making with interval valued fuzzy soft information |
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