The Importance and Interaction Indices of Bi-Capacities Based on Ternary-Element Sets

Grabisch and Labreuche have recently proposed a generalization of capacities, called the bi-capacities. Recently, a new approach for studying bi-capacities through introducing a notion of ternary-element sets proposed by the author. In this paper, we propose many results such as bipolar Mobius trans...

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Main Author: Baghdad Science Journal
Format: Article
Language:English
Published: University of Baghdad, College of Science for Women 2016-09-01
Series:مجلة بغداد للعلوم
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Online Access:http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2305
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author Baghdad Science Journal
author_facet Baghdad Science Journal
author_sort Baghdad Science Journal
collection DOAJ
description Grabisch and Labreuche have recently proposed a generalization of capacities, called the bi-capacities. Recently, a new approach for studying bi-capacities through introducing a notion of ternary-element sets proposed by the author. In this paper, we propose many results such as bipolar Mobius transform, importance index, and interaction index of bi-capacities based on our approach.
format Article
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institution Kabale University
issn 2078-8665
2411-7986
language English
publishDate 2016-09-01
publisher University of Baghdad, College of Science for Women
record_format Article
series مجلة بغداد للعلوم
spelling doaj-art-4db1cfe1edb545ac8f676c7349bc249b2025-08-20T03:34:26ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862016-09-0113310.21123/bsj.13.3.607-613The Importance and Interaction Indices of Bi-Capacities Based on Ternary-Element SetsBaghdad Science JournalGrabisch and Labreuche have recently proposed a generalization of capacities, called the bi-capacities. Recently, a new approach for studying bi-capacities through introducing a notion of ternary-element sets proposed by the author. In this paper, we propose many results such as bipolar Mobius transform, importance index, and interaction index of bi-capacities based on our approach.http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2305"Bi-capacities; the bipolar Mobius transform; importance index; interaction index"
spellingShingle Baghdad Science Journal
The Importance and Interaction Indices of Bi-Capacities Based on Ternary-Element Sets
مجلة بغداد للعلوم
"Bi-capacities; the bipolar Mobius transform; importance index; interaction index"
title The Importance and Interaction Indices of Bi-Capacities Based on Ternary-Element Sets
title_full The Importance and Interaction Indices of Bi-Capacities Based on Ternary-Element Sets
title_fullStr The Importance and Interaction Indices of Bi-Capacities Based on Ternary-Element Sets
title_full_unstemmed The Importance and Interaction Indices of Bi-Capacities Based on Ternary-Element Sets
title_short The Importance and Interaction Indices of Bi-Capacities Based on Ternary-Element Sets
title_sort importance and interaction indices of bi capacities based on ternary element sets
topic "Bi-capacities; the bipolar Mobius transform; importance index; interaction index"
url http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2305
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