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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| Format: | Article |
| Language: | English |
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IEEE
2014
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| Online Access: | 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 |
| _version_ | 1848817638137921536 |
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| 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 |
| building | UMP Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T01:24:57Z |
| format | Article |
| id | ump-5740 |
| institution | Universiti Malaysia Pahang |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T01:24:57Z |
| publishDate | 2014 |
| publisher | IEEE |
| recordtype | eprints |
| repository_type | Digital Repository |
| 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. (Published) http://dx.doi.org/10.1109/TFUZZ.2013.2246571 DOI: 10.1109/TFUZZ.2013.2246571 |
| 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 |
| title | 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_short | 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 |
| topic | QA Mathematics |
| 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 |