Abstract
This paper proposes a consistency check method for hesitant fuzzy sets with confidence levels by employing a distance measure. Firstly, we analyze the difference between each fuzzy element and its corresponding attribute comprehensive decision value and then obtain a comprehensive distance measure for each attribute. Subsequently, by taking the relative credibility as the weight, we assess the consistency of hesitant fuzzy sets. Finally, numerical examples are put forward to verify the effectiveness and reliability of the proposed method.
Highlights
As a generalization of fuzzy set (FS), hesitant fuzzy set (HFS) has attracted much attention since it was proposed by Torra [1] in 2010. e greatest advantage of hesitant fuzzy set (HFS) is to extend the membership degree of fuzzy set (FS) from a specific number to a set. is makes hesitant fuzzy sets have more advantages in dealing with uncertainties caused by hesitation in reality
Many scholars have introduced the concept of credibility into hesitant fuzzy sets, which makes the advantages of hesitant fuzzy sets more prominent, considering that decision makers have different familiarity with different professional fields
Consistency testing is an important work in multiattribute group decision making, aiming at identifying those expert opinions which differ greatly from group opinions, providing theoretical basis and data to support for modifying and eliminating these “nongroup” opinions, and ensuring the consistency of group opinions. ere are many studies on the consistency of multiattribute group decision making, such as group consistency based on reciprocal judgment matrix, complementary judgment matrix, and linguistic judgment matrix. e corresponding methods of group consistency analysis are proposed in [4,5,6,7,8,9,10,11]
Summary
As a generalization of fuzzy set (FS), hesitant fuzzy set (HFS) has attracted much attention since it was proposed by Torra [1] in 2010. e greatest advantage of hesitant fuzzy set (HFS) is to extend the membership degree of fuzzy set (FS) from a specific number to a set. is makes hesitant fuzzy sets have more advantages in dealing with uncertainties caused by hesitation in reality. Many scholars have introduced the concept of credibility into hesitant fuzzy sets, which makes the advantages of hesitant fuzzy sets more prominent, considering that decision makers have different familiarity with different professional fields. Ruan et al [3] further proposed the concept of relative credibility, and based on this, they proposed the relative credibility induced hesitation fuzzy ordered weighted average (RCIHFOWA) operator. Based on these algorithms, many scholars have obtained a series of effective multiattribute decision-making methods based on credibility through research. A consistency checking method based on distance measure is proposed for uncertain fuzzy sets with credibility. (2) A consistency check method by using integration operators is proposed, which includes a feedback process for the decision makers
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
