The Parameter Reduction of the Interval-Valued Fuzzy Soft Sets and Its Related Algorithms

There has been a rapid growth of interest in developing approaches that are capable of dealing with imprecision and uncertainty. To this end, an interval-valued fuzzy soft set (IVFSS) that combines soft set theory with interval-valued fuzzy set theory has been proposed to handle imprecision and unce...

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Main Authors:	Ma, Xiuqin, Qin, Hongwu, Norrozila, Sulaiman, Herawan, Tutut, Jemal, H. Abawajy
Format:	Article
Language:	English
Published:	IEEE 2014
Subjects:	QA Mathematics
Online Access:	http://umpir.ump.edu.my/id/eprint/5740/ http://umpir.ump.edu.my/id/eprint/5740/ http://umpir.ump.edu.my/id/eprint/5740/ http://umpir.ump.edu.my/id/eprint/5740/1/Ma-2014-The_Parameter_Reduction_of_the_Interva.pdf

id	ump-5740
recordtype	eprints
spelling	ump-57402018-03-19T06:41:49Z http://umpir.ump.edu.my/id/eprint/5740/ The Parameter Reduction of the Interval-Valued Fuzzy Soft Sets and Its Related Algorithms Ma, Xiuqin Qin, Hongwu Norrozila, Sulaiman Herawan, Tutut Jemal, H. Abawajy QA Mathematics There has been a rapid growth of interest in developing approaches that are capable of dealing with imprecision and uncertainty. To this end, an interval-valued fuzzy soft set (IVFSS) that combines soft set theory with interval-valued fuzzy set theory has been proposed to handle imprecision and uncertainty in applications such as decision-making problems. However, there has been little focus on parameter reduction of the interval-valued fuzzy soft sets, which is significant in decision-making problems. In this paper, we introduce four different definitions of parameter reduction in interval-valued fuzzy soft sets to satisfy different the needs of decision makers. We propose four heuristic algorithms of parameter reduction. Finally, the algorithms are compared and summarized from the aspects of easy degree of finding reduction, applicability, reduction result, exact level for reduction, multiusability, applied situation, and computational complexity. The results of the experiment show that the methods reduce the redundant parameters while preserving certain decision abilities. IEEE 2014-02 Article PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/5740/1/Ma-2014-The_Parameter_Reduction_of_the_Interva.pdf Ma, Xiuqin and Qin, Hongwu and Norrozila, Sulaiman and Herawan, Tutut and Jemal, H. Abawajy (2014) The Parameter Reduction of the Interval-Valued Fuzzy Soft Sets and Its Related Algorithms. IEEE Transactions On Fuzzy Systems, 22 (1). pp. 57-71. ISSN 1063-6706 http://dx.doi.org/10.1109/TFUZZ.2013.2246571 DOI: 10.1109/TFUZZ.2013.2246571
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Malaysia Pahang
building	UMP Institutional Repository
collection	Online Access
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Ma, Xiuqin Qin, Hongwu Norrozila, Sulaiman Herawan, Tutut Jemal, H. Abawajy The Parameter Reduction of the Interval-Valued Fuzzy Soft Sets and Its Related Algorithms
description	There has been a rapid growth of interest in developing approaches that are capable of dealing with imprecision and uncertainty. To this end, an interval-valued fuzzy soft set (IVFSS) that combines soft set theory with interval-valued fuzzy set theory has been proposed to handle imprecision and uncertainty in applications such as decision-making problems. However, there has been little focus on parameter reduction of the interval-valued fuzzy soft sets, which is significant in decision-making problems. In this paper, we introduce four different definitions of parameter reduction in interval-valued fuzzy soft sets to satisfy different the needs of decision makers. We propose four heuristic algorithms of parameter reduction. Finally, the algorithms are compared and summarized from the aspects of easy degree of finding reduction, applicability, reduction result, exact level for reduction, multiusability, applied situation, and computational complexity. The results of the experiment show that the methods reduce the redundant parameters while preserving certain decision abilities.
format	Article
author	Ma, Xiuqin Qin, Hongwu Norrozila, Sulaiman Herawan, Tutut Jemal, H. Abawajy
author_facet	Ma, Xiuqin Qin, Hongwu Norrozila, Sulaiman Herawan, Tutut Jemal, H. Abawajy
author_sort	Ma, Xiuqin
title	The Parameter Reduction of the Interval-Valued Fuzzy Soft Sets and Its Related Algorithms
title_short	The Parameter Reduction of the Interval-Valued Fuzzy Soft Sets and Its Related Algorithms
title_full	The Parameter Reduction of the Interval-Valued Fuzzy Soft Sets and Its Related Algorithms
title_fullStr	The Parameter Reduction of the Interval-Valued Fuzzy Soft Sets and Its Related Algorithms
title_full_unstemmed	The Parameter Reduction of the Interval-Valued Fuzzy Soft Sets and Its Related Algorithms
title_sort	parameter reduction of the interval-valued fuzzy soft sets and its related algorithms
publisher	IEEE
publishDate	2014
url	http://umpir.ump.edu.my/id/eprint/5740/ http://umpir.ump.edu.my/id/eprint/5740/ http://umpir.ump.edu.my/id/eprint/5740/ http://umpir.ump.edu.my/id/eprint/5740/1/Ma-2014-The_Parameter_Reduction_of_the_Interva.pdf
first_indexed	2023-09-18T22:01:07Z
last_indexed	2023-09-18T22:01:07Z
_version_	1777414405287313408

The Parameter Reduction of the Interval-Valued Fuzzy Soft Sets and Its Related Algorithms

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