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
Published in:Symmetry (Basel) 2021-12, Vol.13 (1), p.51
Main Authors: Zahedi Khameneh, Azadeh, Kilicman, Adem
Format: Article
Language:English
Subjects:
group decision making
m-polar fuzzy relations
m-polar T-equivalence
m-polar T-preorder
T-orderings
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym13010051