A new distance measure based on Pythagorean hesitant fuzzy sets and its application to multi-criteria decision making

Yanru Zhong; Xiuyan Guo; Hong Gao; Meifa Huang; Yuchu Qin; Xiaonan Luo

doi:10.1117/12.2541318

27 November 2019 A new distance measure based on Pythagorean hesitant fuzzy sets and its application to multi-criteria decision making

Yanru Zhong, Xiuyan Guo, Hong Gao, Meifa Huang, Yuchu Qin, Xiaonan Luo

Author Affiliations +

Proceedings Volume 11321, 2019 International Conference on Image and Video Processing, and Artificial Intelligence; 113212M (2019) https://doi.org/10.1117/12.2541318
Event: The Second International Conference on Image, Video Processing and Artifical Intelligence, 2019, Shanghai, China

Abstract

The Pythagorean fuzzy set is characterized by five parameters, namely membership degree, non-membership degree, indeterminacy degree, strength of commitment about membership, and direction of commitment. And distance measure is an important index in Pythagorean Hesitant fuzzy (PHF) environment when solving the multicriteria decision-making problem. However, the existing distance measure considers the difference between the member ship degrees, the non-membership degrees, and the degrees of indeterminacy, but ignores the influence of the difference between the directions of PHF sets (PHFSs). The existing distance measure method may lead to unreasonable results sometimes. Inspired by above, the five parameters of PFS are extended to Pythagorean Hesitant Fuzzy set (PHFS) fully in this paper, generating new distance measures of PHFS and introducing some properties and theorems firstly. Then, the proposed method is applied in MCDM with PHF information by considering the distance between the positive ideal solution and each alternative. Finally, to validate the effectiveness of the proposed method, a pragmatic experiment is introduced for comparisons with existing methods.

Citation Download Citation

Yanru Zhong, Xiuyan Guo, Hong Gao, Meifa Huang, Yuchu Qin, and Xiaonan Luo "A new distance measure based on Pythagorean hesitant fuzzy sets and its application to multi-criteria decision making", Proc. SPIE 11321, 2019 International Conference on Image and Video Processing, and Artificial Intelligence, 113212M (27 November 2019); https://doi.org/10.1117/12.2541318

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available