Distance and Similarity Measures for Octahedron Sets and Their Application to MCGDM Problems

Distance and Similarity Measures for Octahedron Sets and Their Application to MCGDM Problems

In this paper, in order to apply the concept of octahedron sets to multi-criteria group decision-making problems, we define several similarity and distance measures for octahedron sets. We present a multi-criteria group decision-making method with linguistic variables in octahedron set environment....

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Bibliographic Details
Main Authors: Güzide Şenel, Jeong-Gon Lee, Kul Hur
Format: Article
Language:English
Published: MDPI AG 2020-10-01
Series:Mathematics
Subjects:
octahedron set
distance measure
similarity measure
Online Access:https://www.mdpi.com/2227-7390/8/10/1690
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spelling doaj-01f780b10d3d438eb2eec3dcba2ee4352020-11-25T02:50:03ZengMDPI AGMathematics2227-73902020-10-0181690169010.3390/math8101690Distance and Similarity Measures for Octahedron Sets and Their Application to MCGDM ProblemsGüzide Şenel0Jeong-Gon Lee1Kul Hur2Department of Mathematics, University of Amasya, 05100 Amasya, TurkeyDivision of Applied Mathematics, Wonkwang University, 460, Iksan-daero, Iksan-Si, Jeonbuk 54538, KoreaDivision of Applied Mathematics, Wonkwang University, 460, Iksan-daero, Iksan-Si, Jeonbuk 54538, KoreaIn this paper, in order to apply the concept of octahedron sets to multi-criteria group decision-making problems, we define several similarity and distance measures for octahedron sets. We present a multi-criteria group decision-making method with linguistic variables in octahedron set environment. We give a numerical example for multi-criteria group decision-making problems.https://www.mdpi.com/2227-7390/8/10/1690octahedron setdistance measuresimilarity measure
collection DOAJ
language English
format Article
sources DOAJ
author Güzide Şenel
Jeong-Gon Lee
Kul Hur
spellingShingle Güzide Şenel
Jeong-Gon Lee
Kul Hur
Distance and Similarity Measures for Octahedron Sets and Their Application to MCGDM Problems
Mathematics
octahedron set
distance measure
similarity measure
author_facet Güzide Şenel
Jeong-Gon Lee
Kul Hur
author_sort Güzide Şenel
title Distance and Similarity Measures for Octahedron Sets and Their Application to MCGDM Problems
title_short Distance and Similarity Measures for Octahedron Sets and Their Application to MCGDM Problems
title_full Distance and Similarity Measures for Octahedron Sets and Their Application to MCGDM Problems
title_fullStr Distance and Similarity Measures for Octahedron Sets and Their Application to MCGDM Problems
title_full_unstemmed Distance and Similarity Measures for Octahedron Sets and Their Application to MCGDM Problems
title_sort distance and similarity measures for octahedron sets and their application to mcgdm problems
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2020-10-01
description In this paper, in order to apply the concept of octahedron sets to multi-criteria group decision-making problems, we define several similarity and distance measures for octahedron sets. We present a multi-criteria group decision-making method with linguistic variables in octahedron set environment. We give a numerical example for multi-criteria group decision-making problems.
topic octahedron set
distance measure
similarity measure
url https://www.mdpi.com/2227-7390/8/10/1690
work_keys_str_mv AT guzidesenel distanceandsimilaritymeasuresforoctahedronsetsandtheirapplicationtomcgdmproblems
AT jeonggonlee distanceandsimilaritymeasuresforoctahedronsetsandtheirapplicationtomcgdmproblems
AT kulhur distanceandsimilaritymeasuresforoctahedronsetsandtheirapplicationtomcgdmproblems
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