@article{Yousafzai2023, 
author = {Faisal Yousafzai and Muhammad Danish Zia and Mohammed M. Khalaf and Rashad Ismail},
title = {A new look of interval-valued intuitionistic fuzzy sets in ordered AG-groupoids with applications},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {3},
pages = {6095-6118},
keywords = {interval-valued intuitionistic fuzzy set, uv-score function, left invertive law, semilattice, intra-regularity},
url = {https://www.sciopen.com/article/10.3934/math.2023308},
doi = {10.3934/math.2023308},
abstract = {The main purpose of this article is to utilize mathematical tools to rank alternatives for a decision making problem. In this regard, we developed different types of interval-valued intuitionistic fuzzy (IVIF) score ideals through unit-valued score (accuracy) functions. We used IVIF-score left (right) ideals to characterize an intra-regular class of an ordered Abel-Grassmann's-grououpoid (AG-groupoid) which is a semilattice of left simple AG-groupoids. We also established a connection between IVIF-score (0, 2)-ideals and IVIF-score left (right) ideals. Finally, we demonstrated how to use the interval valued intuitionistic fuzzy score    (  0  ,  2  )-ideals to identify the most suitable alternative in a decision making problem, and also explain how it can be applied to a problem of selecting a warehouse.}
}