Relative measure-based approaches for ranking single-valued neutrosophic values and their applications

During uncertain information processing on generalized fuzzy values, how to rank two single-valued neutrosophic values is an important and omnipresent issue in all kinds of intelligent decision problems solving. Although many orders have been proposed to compare any two single-valued neutrosophic va...

Full description

Saved in:
Bibliographic Details
Published in:International journal of machine learning and cybernetics 2022-06, Vol.13 (6), p.1535-1552
Main Authors: Huang, Bing, Yang, Xuan, Feng, Guofu, Guo, Chunxiang
Format: Article
Language:English
Subjects:
Accuracy
Artificial Intelligence
Complex Systems
Computational Intelligence
Control
Data processing
Decision making
Engineering
Fuzzy sets
Mechatronics
Original Article
Pattern Recognition
Ranking
Robotics
Similarity
Systems Biology
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:During uncertain information processing on generalized fuzzy values, how to rank two single-valued neutrosophic values is an important and omnipresent issue in all kinds of intelligent decision problems solving. Although many orders have been proposed to compare any two single-valued neutrosophic values, some shortcomings may exist when they are utilized. Inspired by the Euclidean approach for ranking intuitionistic fuzzy values, we present two types of orders by using the notion of relative geometric distance and relative similarity degree, respectively. First, we present two relative distance-based and relative similarity-based measures to describe the favorable degree of the single-valued neutrosophic value by considering three distances and similarity degrees between a single-valued neutrosophic value and the ideal negative point, ideal positive point, and most uncertain point. Second, two orders over the set of all single-valued neutrosophic values and the corresponding ranking methods for single-valued neutrosophic sets are devised on the basis of the presented measures of an single-valued neutrosophic value, and their properties are discussed. Third, we extend the presented ranking method for single-valued neutrosophic values and single-valued neutrosophic sets by introducing human attitudes using different weights. Finally, we apply the presented methods to optimal alternative selection and group decision making and obtain the effective and reasonable results. The main thoughts of this study can be applied in various generalized fuzzy decision problem solving.
ISSN:1868-8071
1868-808X
DOI:10.1007/s13042-021-01464-9