On interval-valued fuzzy soft preordered sets and associated applications in decision-making
Recently, using interval-valued fuzzy soft sets to rank alternatives has become an important research area in decision-making because it provides decision-makers with the best option in a vague and uncertain environment. The present study aims to give an extensive insight into decision-making pro...
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| Format: | Article |
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MDPI
2021
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| _version_ | 1825937460912193536 |
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| author | Ali, Mabruka Kilicman, Adem |
| author_facet | Ali, Mabruka Kilicman, Adem |
| author_sort | Ali, Mabruka |
| collection | UPM |
| description | Recently, using interval-valued fuzzy soft sets to rank alternatives has become an important
research area in decision-making because it provides decision-makers with the best option in a vague
and uncertain environment. The present study aims to give an extensive insight into decision-making
processes relying on a preference relationship of interval-valued fuzzy soft sets. Firstly, intervalvalued fuzzy soft preorderings and an interval-valued fuzzy soft equivalence are established based
on the interval-valued fuzzy soft topology. Then, two crisp preordering sets, namely lower crisp and
upper crisp preordering sets, are proposed. Next, a score function depending on comparison matrices
is expressed in solving multi-group decision-making problems. Finally, a numerical example is given
to illustrate the validity and efficacy of the proposed method. |
| first_indexed | 2024-03-06T10:59:51Z |
| format | Article |
| id | upm.eprints-94424 |
| institution | Universiti Putra Malaysia |
| last_indexed | 2024-03-06T10:59:51Z |
| publishDate | 2021 |
| publisher | MDPI |
| record_format | dspace |
| spelling | upm.eprints-944242023-03-29T08:09:36Z http://psasir.upm.edu.my/id/eprint/94424/ On interval-valued fuzzy soft preordered sets and associated applications in decision-making Ali, Mabruka Kilicman, Adem Recently, using interval-valued fuzzy soft sets to rank alternatives has become an important research area in decision-making because it provides decision-makers with the best option in a vague and uncertain environment. The present study aims to give an extensive insight into decision-making processes relying on a preference relationship of interval-valued fuzzy soft sets. Firstly, intervalvalued fuzzy soft preorderings and an interval-valued fuzzy soft equivalence are established based on the interval-valued fuzzy soft topology. Then, two crisp preordering sets, namely lower crisp and upper crisp preordering sets, are proposed. Next, a score function depending on comparison matrices is expressed in solving multi-group decision-making problems. Finally, a numerical example is given to illustrate the validity and efficacy of the proposed method. MDPI 2021-12-06 Article PeerReviewed Ali, Mabruka and Kilicman, Adem (2021) On interval-valued fuzzy soft preordered sets and associated applications in decision-making. Mathematics, 9 (23). art. no. 3142. 01-15. ISSN 2227-7390 https://www.mdpi.com/2227-7390/9/23/3142 10.3390/math9233142 |
| spellingShingle | Ali, Mabruka Kilicman, Adem On interval-valued fuzzy soft preordered sets and associated applications in decision-making |
| title | On interval-valued fuzzy soft preordered sets and associated applications in decision-making |
| title_full | On interval-valued fuzzy soft preordered sets and associated applications in decision-making |
| title_fullStr | On interval-valued fuzzy soft preordered sets and associated applications in decision-making |
| title_full_unstemmed | On interval-valued fuzzy soft preordered sets and associated applications in decision-making |
| title_short | On interval-valued fuzzy soft preordered sets and associated applications in decision-making |
| title_sort | on interval valued fuzzy soft preordered sets and associated applications in decision making |
| work_keys_str_mv | AT alimabruka onintervalvaluedfuzzysoftpreorderedsetsandassociatedapplicationsindecisionmaking AT kilicmanadem onintervalvaluedfuzzysoftpreorderedsetsandassociatedapplicationsindecisionmaking |