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/ http://irep.iium.edu.my/13484/1/Affinity_set_Part_I.pdf

id	iium-13484
recordtype	eprints
spelling	iium-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 PeerReviewed 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
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
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/ http://irep.iium.edu.my/13484/1/Affinity_set_Part_I.pdf
first_indexed	2023-09-18T20:22:40Z
last_indexed	2023-09-18T20:22:40Z
_version_	1777408210642141184

A fuzzy set based framework for concept of affinity

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