The Generalized Dice Similarity Measures for Picture Fuzzy Sets and Their Applications

Wei, Guiwu; Gao, Hui

doi:10.15388/Informatica.2018.160

Informatica

The Generalized Dice Similarity Measures for Picture Fuzzy Sets and Their Applications

Volume 29, Issue 1 (2018), pp. 107–124

Guiwu Wei Hui Gao

https://doi.org/10.15388/Informatica.2018.160

Pub. online: 1 January 2018 Type: Research Article

Open Access

Received
1 January 2017

Accepted
1 November 2017

Published
1 January 2018

Abstract

The picture fuzzy set is characterized by three functions expressing the degree of membership, the degree of neutral membership and the degree of non-membership. It was proposed as a generalization of an intuitionistic fuzzy set in order to deal with indeterminate and inconsistent information. In this work, we shall present some novel Dice similarity measures of picture fuzzy sets and the generalized Dice similarity measures of picture fuzzy sets and indicate that the Dice similarity measures and asymmetric measures (projection measures) are the special cases of the generalized Dice similarity measures in some parameter values. Then, we propose the generalized Dice similarity measures-based patterns recognition models with picture fuzzy information. Then, we apply the generalized Dice similarity measures between picture fuzzy sets to building material recognition. Finally, an illustrative example is given to demonstrate the efficiency of the similarity measures for building material recognition.

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Biographies

Wei Guiwu

weiguiwu@163.com

G. Wei has an MSc and a PhD degree in applied mathematics from SouthWest Petroleum University, business administration from school of Economics and Management at SouthWest Jiaotong University, China, respectively. From May 2010 to April 2012, he was a postdoctoral researcher with the School of Economics and Management, Tsinghua University, Beijing, China. He is a professor in the School of Business at Sichuan Normal University. He has published more than 100 papers in journals, books and conference proceedings including journals such as Omega, Decision Support Systems, Expert Systems with Applications, Applied Soft Computing, Knowledge and Information Systems, Computers & Industrial Engineering, Knowledge-Based Systems, International Journal of Intelligent Systems, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, International Journal of Computational Intelligence Systems, Soft Computing and Information: An International Interdisciplinary Journal. He has published 1 book. He has participated in several scientific committees and serves as a reviewer in a wide range of journals including Computers & Industrial Engineering, International Journal of Information Technology and Decision Making, Knowledge-Based Systems, Information Sciences, International Journal of Computational Intelligence Systems and European Journal of Operational Research. He is currently interested in aggregation operators, decision making and computing with words.

Gao Hui

H. Gao has an MSc degree in management sciences and engineering from school of Economics and Management at University of Electronic Science and Technology of China, China. She is an associate professor in the School of Business at Sichuan Normal University.

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Keywords

generalized Dice similarity measures Dice similarity measures picture fuzzy set asymmetric measures projection measures patterns recognition building material recognition

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