Cover Image

m-polar generalization of fuzzy T-ordering relations: an approach to group decision making

Recently, T-orderings, defined based on a t-norm T and infimum operator (for infinite case) or minimum operator (for finite case), have been applied as a generalization of the notion of crisp orderings to fuzzy setting. When this concept is extending to m-polar fuzzy data, it is questioned whether t...

Full description

Saved in:
Bibliographic Details
Main Authors: Khameneh, Azadeh Zahedi, Kilicman, Adem
Format: Article
Published: MDPI 2020
Online Access:http://psasir.upm.edu.my/id/eprint/94280/
https://www.mdpi.com/2073-8994/13/1/51
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.upm.eprints.94280
record_format eprints
spelling my.upm.eprints.942802023-05-08T04:34:21Z http://psasir.upm.edu.my/id/eprint/94280/ m-polar generalization of fuzzy T-ordering relations: an approach to group decision making Khameneh, Azadeh Zahedi Kilicman, Adem Recently, T-orderings, defined based on a t-norm T and infimum operator (for infinite case) or minimum operator (for finite case), have been applied as a generalization of the notion of crisp orderings to fuzzy setting. When this concept is extending to m-polar fuzzy data, it is questioned whether the generalized definition can be expanded for any aggregation function, not necessarily the minimum operator, or not. To answer this question, the present study focuses on constructing m-polar T-orderings based on aggregation functions A, in particular, m-polar T-preorderings (which are reflexive and transitive m-polar fuzzy relations w.r.t T and A) and m-polar T-equivalences (which are symmetric m-polar T-preorderings). Moreover, the construction results for generating crisp preference relations based on m-polar T-orderings are obtained. Two algorithms for solving ranking problem in decision-making are proposed and validated by an illustrative example. MDPI 2020-12-30 Article PeerReviewed Khameneh, Azadeh Zahedi and Kilicman, Adem (2020) m-polar generalization of fuzzy T-ordering relations: an approach to group decision making. Symmetry, 13 (1). art. no. 51. pp. 1-21. ISSN 2073-8994 https://www.mdpi.com/2073-8994/13/1/51 10.3390/sym13010051
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, T-orderings, defined based on a t-norm T and infimum operator (for infinite case) or minimum operator (for finite case), have been applied as a generalization of the notion of crisp orderings to fuzzy setting. When this concept is extending to m-polar fuzzy data, it is questioned whether the generalized definition can be expanded for any aggregation function, not necessarily the minimum operator, or not. To answer this question, the present study focuses on constructing m-polar T-orderings based on aggregation functions A, in particular, m-polar T-preorderings (which are reflexive and transitive m-polar fuzzy relations w.r.t T and A) and m-polar T-equivalences (which are symmetric m-polar T-preorderings). Moreover, the construction results for generating crisp preference relations based on m-polar T-orderings are obtained. Two algorithms for solving ranking problem in decision-making are proposed and validated by an illustrative example.
format Article
author Khameneh, Azadeh Zahedi
Kilicman, Adem
spellingShingle Khameneh, Azadeh Zahedi
Kilicman, Adem
m-polar generalization of fuzzy T-ordering relations: an approach to group decision making
author_facet Khameneh, Azadeh Zahedi
Kilicman, Adem
author_sort Khameneh, Azadeh Zahedi
title m-polar generalization of fuzzy T-ordering relations: an approach to group decision making
title_short m-polar generalization of fuzzy T-ordering relations: an approach to group decision making
title_full m-polar generalization of fuzzy T-ordering relations: an approach to group decision making
title_fullStr m-polar generalization of fuzzy T-ordering relations: an approach to group decision making
title_full_unstemmed m-polar generalization of fuzzy T-ordering relations: an approach to group decision making
title_sort m-polar generalization of fuzzy t-ordering relations: an approach to group decision making
publisher MDPI
publishDate 2020
url http://psasir.upm.edu.my/id/eprint/94280/
https://www.mdpi.com/2073-8994/13/1/51
_version_ 1768009397361967104
score 13.211869

Similar Items