A new look of interval-valued intuitionistic fuzzy sets in ordered AG-groupoids with applications

AIMS Mathematics

article

Faisal Yousafzai¹  Muhammad Danish Zia¹  Mohammed M. Khalaf²  Rashad Ismail³ 

[1] Department of Basic Sciences and Humanities, National University of Sciences and Technology;Department of Mathematics, Higher Institute of Engineering and Technology;Department of Mathematics, Faculty of Science and Arts, Muhayl Assir 61913, King Khalid University;Departments of Mathematics and Computer, Faculty of Science, Ibb University

关键词: interval-valued intuitionistic fuzzy set;    uv -score function;    left invertive law;    semilattice;    intra-regularity;   

DOI  :  10.3934/math.2023308

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

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.

【 授权许可】

CC BY