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:Arabic
Published: College of Science for Women, University of Baghdad 2016-09-01
Series:Baghdad Science Journal
Subjects:
Online Access:http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2305
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spelling doaj-4db1cfe1edb545ac8f676c7349bc249b2020-11-25T01:42:28ZaraCollege of Science for Women, University of BaghdadBaghdad Science Journal2078-86652411-79862016-09-0113310.21123/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"
collection DOAJ
language Arabic
format Article
sources DOAJ
author Baghdad Science Journal
spellingShingle Baghdad Science Journal
The Importance and Interaction Indices of Bi-Capacities Based on Ternary-Element Sets
Baghdad Science Journal
"Bi-capacities; the bipolar Mobius transform; importance index; interaction index"
author_facet Baghdad Science Journal
author_sort Baghdad Science Journal
title 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_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_sort importance and interaction indices of bi-capacities based on ternary-element sets
publisher College of Science for Women, University of Baghdad
series Baghdad Science Journal
issn 2078-8665
2411-7986
publishDate 2016-09-01
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.
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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