Novel construction methods of interval-valued fuzzy negations and aggregation functions based on admissible orders

In this work, we present a review of the existing admissible orders and propose a generalization of all of these orders in the discrete setting. Also, we propose some construction methods of interval-valued fuzzy negations w.r.t. the existing admissible orders on L([0,1]) via arbitrary pairs of fuzz...

Full description

Saved in:
Bibliographic Details
Published in:Fuzzy sets and systems 2023-12, Vol.473, p.108722, Article 108722
Main Authors: Gupta, Vikash Kumar, Massanet, Sebastia, Vemuri, Nageswara Rao
Format: Article
Language:English
Subjects:
Admissible order
Aggregation function
Bounded poset
Fuzzy negation
Interval-valued functions
Lattice
Partial order
T-conorms
T-norms
Total order
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:In this work, we present a review of the existing admissible orders and propose a generalization of all of these orders in the discrete setting. Also, we propose some construction methods of interval-valued fuzzy negations w.r.t. the existing admissible orders on L([0,1]) via arbitrary pairs of fuzzy logic connectives that are defined over the unit interval [0,1] and show that these proposed methods generalize some of the existing construction methods proposed by Asiain et al. Further, we propose also some construction methods of interval-valued aggregation functions w.r.t. the existing admissible orders on L([0,1]) via standard fuzzy logic connectives on [0,1] and also, as a special case, interval-valued t-norms and t-conorms are constructed.
ISSN:0165-0114
1872-6801
DOI:10.1016/j.fss.2023.108722