Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900358 | Transactions of A. Razmadze Mathematical Institute | 2018 | 12 Pages |
Abstract
Picture fuzzy set (PFS) is a recently developed tool to deal with uncertainty which is a direct extension of intuitionistic fuzzy set (IFS) that can model uncertainty in such situations involving more answers of these types: yes, abstain, no. In this paper, (α,δ,β)-cut and strong (α,δ,β)-cut of PFS have been defined and decomposition theorems of PFS are proved. Later on extension principle for PFS has been defined and studied some of its properties. Finally, picture fuzzy arithmetic based on extension principle has been performed with examples.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Palash Dutta, Silpashree Ganju,