Cosine Similarity Measure of Complex Fuzzy Sets and Robustness of Complex Fuzzy Connectives-Reference-Cited by-同舟云学术

Cosine Similarity Measure of Complex Fuzzy Sets and Robustness of Complex Fuzzy Connectives

Published:2020-07-22 Issue: Volume:2020 Page:1-9
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Guo Wenping¹,Bi Lvqing²,Hu Bo³,Dai Songsong¹^ORCID

Affiliation:

1. School of Electronics and Information Engineering, Taizhou University, Taizhou 318000, China

2. School of Electronics and Communication Engineering, Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing, Yulin Normal University, Yulin 537000, China

3. School of Mechanical and Electrical Engineering, Guizhou Normal University, Guiyang 550025, China

Abstract

Complex fuzzy set (CFS), as a generalization of fuzzy set (FS), is characterized by complex-valued membership degrees. By considering the complex-valued membership degree as a vector in the complex unit disk, we introduce the cosine similarity measures between CFSs. Then, we investigate some invariance properties of the cosine similarity measure. Finally, the cosine similarity measure is applied to measure the robustness of complex fuzzy connectives and complex fuzzy inference.

Funder

Key Projects of Zhejiang Province’s Educational Science Planning

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2020/6716819.pdf

Reference42 articles.

1. Image thresholding using restricted equivalence functions and maximizing the measures of similarity

2. Relationship between restricted dissimilarity functions, restricted equivalence functions and normal EN-functions: Image thresholding invariant

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