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A fuzzy set based framework for concept of affinity

The traditional set theory is constructed on the steady state, the bivalent logic and the fixed set boundary. However, the development of fuzzy set or rough set inspires us that an element, which membership degree to a specified set could be multivalent (fuzzy set) and the set boundary could also b...

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Main Authors: Larbani, Moussa, Yuh-Weh , Chen
Format: Article
Language:English
Published: Hikari Ltd 2009
Subjects:
HB131 Methodology.Mathematical economics. Quantitative methods
Online Access:http://irep.iium.edu.my/13484/1/Affinity_set_Part_I.pdf
http://irep.iium.edu.my/13484/
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spelling my.iium.irep.134842012-01-05T07:23:20Z http://irep.iium.edu.my/13484/ A fuzzy set based framework for concept of affinity Larbani, Moussa Yuh-Weh , Chen HB131 Methodology.Mathematical economics. Quantitative methods The traditional set theory is constructed on the steady state, the bivalent logic and the fixed set boundary. However, the development of fuzzy set or rough set inspires us that an element, which membership degree to a specified set could be multivalent (fuzzy set) and the set boundary could also be undetermined (rough set). No mattering from the scope of traditional set, fuzzy set or rough set, the element is belonged to a specified set or not is assumed as a steady (time-independent) behavior. Thus, we may regard these aforementioned set theories as the time-independent set theories. In this study, we explore the possibility of proposing a time-dependent set theory, which means the relation between two objects we consider it should be timedependent: we name it the affinity set theory. We present a simple framework for the concept of affinity based on fuzzy set theory. The notion of affinity set is introduced. A new forecasting method based on game theory and affinity set is also presented. Hikari Ltd 2009 Article REM application/pdf en http://irep.iium.edu.my/13484/1/Affinity_set_Part_I.pdf Larbani, Moussa and Yuh-Weh , Chen (2009) A fuzzy set based framework for concept of affinity. Applied Mathematical Sciences, 3 (7). pp. 317-332. ISSN 1312-885X
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
language English
topic HB131 Methodology.Mathematical economics. Quantitative methods
spellingShingle HB131 Methodology.Mathematical economics. Quantitative methods
Larbani, Moussa
Yuh-Weh , Chen
A fuzzy set based framework for concept of affinity
description The traditional set theory is constructed on the steady state, the bivalent logic and the fixed set boundary. However, the development of fuzzy set or rough set inspires us that an element, which membership degree to a specified set could be multivalent (fuzzy set) and the set boundary could also be undetermined (rough set). No mattering from the scope of traditional set, fuzzy set or rough set, the element is belonged to a specified set or not is assumed as a steady (time-independent) behavior. Thus, we may regard these aforementioned set theories as the time-independent set theories. In this study, we explore the possibility of proposing a time-dependent set theory, which means the relation between two objects we consider it should be timedependent: we name it the affinity set theory. We present a simple framework for the concept of affinity based on fuzzy set theory. The notion of affinity set is introduced. A new forecasting method based on game theory and affinity set is also presented.
format Article
author Larbani, Moussa
Yuh-Weh , Chen
author_facet Larbani, Moussa
Yuh-Weh , Chen
author_sort Larbani, Moussa
title A fuzzy set based framework for concept of affinity
title_short A fuzzy set based framework for concept of affinity
title_full A fuzzy set based framework for concept of affinity
title_fullStr A fuzzy set based framework for concept of affinity
title_full_unstemmed A fuzzy set based framework for concept of affinity
title_sort fuzzy set based framework for concept of affinity
publisher Hikari Ltd
publishDate 2009
url http://irep.iium.edu.my/13484/1/Affinity_set_Part_I.pdf
http://irep.iium.edu.my/13484/
_version_ 1643606765898563584
score 13.211869

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