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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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Main Authors: Ali, Mabruka, Kilicman, Adem
Format: Article
Published: MDPI 2021
Online Access:http://psasir.upm.edu.my/id/eprint/94424/
https://www.mdpi.com/2227-7390/9/23/3142
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spelling my.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
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
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.
format Article
author Ali, Mabruka
Kilicman, Adem
spellingShingle Ali, Mabruka
Kilicman, Adem
On interval-valued fuzzy soft preordered sets and associated applications in decision-making
author_facet Ali, Mabruka
Kilicman, Adem
author_sort Ali, Mabruka
title 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_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_sort on interval-valued fuzzy soft preordered sets and associated applications in decision-making
publisher MDPI
publishDate 2021
url http://psasir.upm.edu.my/id/eprint/94424/
https://www.mdpi.com/2227-7390/9/23/3142
_version_ 1762394217813901312
score 13.211869

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