Operation Properties and delta-Equalities of Complex Fuzzy Classes

Ali, M; Behbood, V

Operation Properties and delta-Equalities of Complex Fuzzy Classes

Ali, M Behbood, V

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Publisher:: IEEE
Publication Type:: Conference Proceeding
Citation:: Proceedings of the 10th International Conference on Intelligent Systems and Knowledge Engineering, 2015, pp. 586-593
Issue Date:: 2015

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Field	Value	Language
dc.contributor.author	Ali, M
dc.contributor.author	Behbood, V
dc.date	2015-11-24
dc.date.accessioned	2024-05-22T03:00:10Z
dc.date.available	2024-05-22T03:00:10Z
dc.date.issued	2015
dc.identifier.citation	Proceedings of the 10th International Conference on Intelligent Systems and Knowledge Engineering, 2015, pp. 586-593
dc.identifier.isbn	978-1-4673-9322-5
dc.identifier.issn	2164-2508
dc.identifier.uri	http://hdl.handle.net/10453/179109
dc.description.abstract	A complex fuzzy class is a set of fuzzy sets which is characterized by a pure complex fuzzy grade of membership where both the real and imaginary parts are fuzzy functions. The values that a pure complex fuzzy grade of membership may receive all lie within the unite square or unit circle in the complex plane. In this paper, we investigate different operation properties and propose a distance measure for complex fuzzy classes. The distance of two complex fuzzy classes measures the difference between the memberships of the fuzzy sets in the two complex fuzzy classes as well as the difference between the memberships in the related fuzzy sets in the two complex fuzzy classes. d-equalities of two complex fuzzy classes are then defined which mainly base on this distance measure. If the distance between two complex fuzzy classes is less than or equal to d, then they are said to be d-equal. This paper reveals that different operations between complex fuzzy classes can affect given delta-equalities of complex fuzzy classes. Further, an application of utilizing the concept of d-equalities of complex fuzzy classes in stocks and mutual funds in the stock market is presented.
dc.language	en
dc.publisher	IEEE
dc.relation.ispartof	Proceedings of the 10th International Conference on Intelligent Systems and Knowledge Engineering
dc.relation.ispartof	International Conference on Intelligent Systems and Knowledge Engineering
dc.relation.ispartofseries	International Conference on Knowledge and Systems Engineering
dc.relation.isbasedon	10.1109/ISKE.2015.77
dc.rights	info:eu-repo/semantics/closedAccess
dc.title	Operation Properties and delta-Equalities of Complex Fuzzy Classes
dc.type	Conference Proceeding
utslib.location.activity	Taipei
utslib.for	0803 Computer Software
pubs.organisational-group	University of Technology Sydney
pubs.organisational-group	University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	University of Technology Sydney/Strength - AAII - Australian Artificial Intelligence Institute
pubs.organisational-group	University of Technology Sydney/Faculty of Engineering and Information Technology/School of Computer Science
utslib.copyright.status	closed_access	*
pubs.consider-herdc	true
dc.date.updated	2024-05-22T03:00:08Z
pubs.finish-date	2015-11-27
pubs.place-of-publication	Piscataway, USA
pubs.publication-status	Published
pubs.start-date	2015-11-24
dc.location	Piscataway, USA

Abstract:

A complex fuzzy class is a set of fuzzy sets which is characterized by a pure complex fuzzy grade of membership where both the real and imaginary parts are fuzzy functions. The values that a pure complex fuzzy grade of membership may receive all lie within the unite square or unit circle in the complex plane. In this paper, we investigate different operation properties and propose a distance measure for complex fuzzy classes. The distance of two complex fuzzy classes measures the difference between the memberships of the fuzzy sets in the two complex fuzzy classes as well as the difference between the memberships in the related fuzzy sets in the two complex fuzzy classes. d-equalities of two complex fuzzy classes are then defined which mainly base on this distance measure. If the distance between two complex fuzzy classes is less than or equal to d, then they are said to be d-equal. This paper reveals that different operations between complex fuzzy classes can affect given delta-equalities of complex fuzzy classes. Further, an application of utilizing the concept of d-equalities of complex fuzzy classes in stocks and mutual funds in the stock market is presented.

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http://hdl.handle.net/10453/179109