Similarity Measures of Spherical Fuzzy Sets Based on Cosine Function and Their Applications

Similarity Measures of Spherical Fuzzy Sets Based on Cosine Function and Their Applications

In this paper, we defined ten similarity measures between spherical fuzzy sets (SFSs) based on the cosine function by considering the degree of positive-membership, degree of neutral-membership, degree of non-membership and degree of refusual-membership in SFSs. Then, we applied these similarity mea...

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Main Authors: Guiwu Wei, Jie Wang, Mao Lu, Jiang Wu, Cun Wei
Format: Article
Language:English
Published: IEEE 2019-01-01
Series:IEEE Access
Subjects:
Spherical fuzzy sets (SFSs)
cosine function
cosine similarity measure
pattern recognition
medical diagnosis
Online Access:https://ieeexplore.ieee.org/document/8882324/
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spelling doaj-20c8b73d843b4706894bfaa7fe580e1d2021-03-30T00:42:45ZengIEEEIEEE Access2169-35362019-01-01715906915908010.1109/ACCESS.2019.29492968882324Similarity Measures of Spherical Fuzzy Sets Based on Cosine Function and Their ApplicationsGuiwu Wei0https://orcid.org/0000-0001-9074-2005Jie Wang1https://orcid.org/0000-0001-6286-9893Mao Lu2Jiang Wu3Cun Wei4https://orcid.org/0000-0002-6195-8699School of Business, Sichuan Normal University, Chengdu, ChinaSchool of Business, Sichuan Normal University, Chengdu, ChinaSchool of Business, Sichuan Normal University, Chengdu, ChinaSchool of Statistics, Southwestern University of Finance and Economics, Chengdu, ChinaSchool of Statistics, Southwestern University of Finance and Economics, Chengdu, ChinaIn this paper, we defined ten similarity measures between spherical fuzzy sets (SFSs) based on the cosine function by considering the degree of positive-membership, degree of neutral-membership, degree of non-membership and degree of refusual-membership in SFSs. Then, we applied these similarity measures and weighted similarity measures between SFSs to pattern recognition and medical diagnosis. Finally, two illustrative examples are designed to show the efficiency of the similarity measures for pattern recognition and medical diagnosis.https://ieeexplore.ieee.org/document/8882324/Spherical fuzzy sets (SFSs)cosine functioncosine similarity measurepattern recognitionmedical diagnosis
collection DOAJ
language English
format Article
sources DOAJ
author Guiwu Wei
Jie Wang
Mao Lu
Jiang Wu
Cun Wei
spellingShingle Guiwu Wei
Jie Wang
Mao Lu
Jiang Wu
Cun Wei
Similarity Measures of Spherical Fuzzy Sets Based on Cosine Function and Their Applications
IEEE Access
Spherical fuzzy sets (SFSs)
cosine function
cosine similarity measure
pattern recognition
medical diagnosis
author_facet Guiwu Wei
Jie Wang
Mao Lu
Jiang Wu
Cun Wei
author_sort Guiwu Wei
title Similarity Measures of Spherical Fuzzy Sets Based on Cosine Function and Their Applications
title_short Similarity Measures of Spherical Fuzzy Sets Based on Cosine Function and Their Applications
title_full Similarity Measures of Spherical Fuzzy Sets Based on Cosine Function and Their Applications
title_fullStr Similarity Measures of Spherical Fuzzy Sets Based on Cosine Function and Their Applications
title_full_unstemmed Similarity Measures of Spherical Fuzzy Sets Based on Cosine Function and Their Applications
title_sort similarity measures of spherical fuzzy sets based on cosine function and their applications
publisher IEEE
series IEEE Access
issn 2169-3536
publishDate 2019-01-01
description In this paper, we defined ten similarity measures between spherical fuzzy sets (SFSs) based on the cosine function by considering the degree of positive-membership, degree of neutral-membership, degree of non-membership and degree of refusual-membership in SFSs. Then, we applied these similarity measures and weighted similarity measures between SFSs to pattern recognition and medical diagnosis. Finally, two illustrative examples are designed to show the efficiency of the similarity measures for pattern recognition and medical diagnosis.
topic Spherical fuzzy sets (SFSs)
cosine function
cosine similarity measure
pattern recognition
medical diagnosis
url https://ieeexplore.ieee.org/document/8882324/
work_keys_str_mv AT guiwuwei similaritymeasuresofsphericalfuzzysetsbasedoncosinefunctionandtheirapplications
AT jiewang similaritymeasuresofsphericalfuzzysetsbasedoncosinefunctionandtheirapplications
AT maolu similaritymeasuresofsphericalfuzzysetsbasedoncosinefunctionandtheirapplications
AT jiangwu similaritymeasuresofsphericalfuzzysetsbasedoncosinefunctionandtheirapplications
AT cunwei similaritymeasuresofsphericalfuzzysetsbasedoncosinefunctionandtheirapplications
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